ÞÉÒÉÈÀÃÉ ÓÀÌÄÝÍÉÄÒÏ ÍÀÛÒÏÌÄÁÉÓ ÍÖÓáÀ

(i) ÌÏÍÏÂÒÀ×ÉÄÁÉ

  1. Maximal functions and singular integrals in weighted function spaces. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 80 (1985), 1-14.

  2. Weighted inequalities in Lorentz and Orlicz spaces (with M. Krbec). World Scientific Publishing Co., Inc., River Edge, NJ, 1991.

  3. Weight theory for integral transforms on spaces of homogeneous type (with I. Genebashvili, A. Gogatishvili, and M. Krbec). Pitman Monographs and Surveys in Pure and Applied Mathematics, 92. Longman, Harlow, 1998.

  4. Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings (with G. Khuskivadze and V. Paatashvili). Mem. Differential Equations Math. Phys. 14 (1998), 1-195.

  5. Bounded and compact integral operators (with D. E. Edmunds and A. Meskhi). Mathematics and its Applications, 543. Kluwer Academic Publishers, Dordrecht, 2002.

(ii) ÓÀÌÄÝÍÉÄÒÏ ÓÔÀÔÉÄÁÉ

  1. Some remarks concerning Fourier coefficients and function classes. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 28 (1962), No. 1, 3-8.

  2. On best approximation of functions and Fourier-Lebesgue coefficients. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 30 (1963), No. 3, 265-275.

  3. On generalized lacunary Fourier series. (Georgian) Soobshch. Akad. Nauk Gruzin. SSR 31 (1963), No. 2, 257-262.

  4. On converse theorem of constructive theory of functions in Lp spaces. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 29 (1964), 183-189.

  5. On some function space and Fourier coefficients. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 35 (1964), No. 3, 523-530.

  6. On estimate of best approximations and modulus of smoothness in Lebesgue spaces of periodic functions with transformed Fourier series. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 35 (1964), No. 1, 3-8.

  7. Best approximations by trigonometric polynomials in Orlicz spaces and Fourier-Lebesgue coefficients. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 (1965), No. 5, 357-362.

  8. Best approximation of functions by Walsh polynomials and Walsh-Fourier coefficients. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 (1965), No. 6, 405-410.

  9. On some properties of conjugate functions of two variables. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 40 (1965), No. 2, 263-270.

  10. On relation between Fourier-Lebesgue coefficients and modulus of continuity of functions of two variables. (Russian) Trudy Tbiliss. Gos. Univ. 110 (1965), 247-254.

  11. The converse theorem of constructive theory of functions in Orlicz spaces. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 37 (1965), No. 2, 263-270.

  12. On approximation of periodic functions by certain linear operators. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 43 (1966), No. 2, 257-260.

  13. On structure and constructive characteristics of certain class of periodic functions. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 43 (1966), No. 1, 3-8.

  14. On proximate order of best approximations of analytic functions by generalized-lacunary series with respect to Faber polynomials. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 41 (1966), No. 3, 529-534.

  15. On approximations of periodic functions in Orlicz spaces. Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 14 (1966), 77-80.

  16. On mean approximation of analytic functions from Ep classes. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 47 (1967), No. 1, 3-6.

  17. On mean approximation of analytic functions from Ep classes. (Russian) Dokl. Akad. Nauk SSSR 117 (1967), No. 2, 261-264.

  18. On approximation by Walsh-Fourier means. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 45 (1967), No. 2, 305-310.

  19. On summability of Fourier series by ultraspherical polynomials and best approximations. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 58 (1967), No. 1, 3-6.

  20. On analytic functions of Smirnov-Orlicz classes. Studia Math. 31 (1968) 43-59.

  21. On approximation of periodic functions. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 34 (1968), 51-81.

  22. On approximation of analytic functions from Ep classes. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 34 (1968), 82-102.

  23. The direct theorem on mean approximations of analytic functions. (Russian) Dokl. Akad. Nauk SSSR 185 (1969), 749-752.

  24. On multipliers and decomposition of series by polynomial solutions of elliptic type differential equations. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 56 (1969), No. 1, 25-28.

  25. On mean approximation of regular solutions of elliptic type differential equations. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 56 (1969), No. 3, 529-532.

  26. On boundedness of singular integral operators in Lp spaces with weight. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 64 (1971), No. 1, 17-20.

  27. On boundedness of singular integral operators in weighted spaces. (Russian) In: Proc. of Symposium on Continuum Mechanics and Related Problems of Analysis (Tbilisi, 23-29. IX. 1971), vol. 1, Metsniereba, Tbilisi, 1973, 125-141.

  28. On conjugate functions. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 68(1972), No. 3, 537-540.

  29. On coefficients of power series and Fourier series. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 42 (1972), 78-86.

  30. On multipliers and decomposition of trigonometric Fourier series. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 43 (1973), 87-110.

  31. On boundary properties of functions of certain classes. (Russian) Trudy Tbiliss. Mat. Inst.  Razmadze 43 (1973), 72-86.

  32. 37. On boundedness of singular operators with Cauchy kernels in weighted spaces. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 77 (1975), No. 3, 529-532.

  33. On boundedness of some translation invariant operators. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 47 (1975), 14-33.

  34. On multipliers of Fourier transforms. (Russian) Dokl. Akad. Nauk SSSR 220 (1975), No. 1, 19-22.

  35. On singular integrals and maximal operators with Cauchy kernel. (Russian) Dokl. Akad. Nauk SSSR 223 (1975), No. 3, 555-558.

  36. On boundary problem of linear conjugation with measurable coefficients (with V. Paatashvili). (Russian) Dokl. Akad. Nauk SSSR 224 (1975), No. 5, 1008-1011.

  37. On multipliers of Fourier transforms and imbedding theorems in some function spaces. (Russian) Mat. Zametki 20 (1976), No. 4, 605-610.

  38. On singular integrals and multipliers of Fourier transforms. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 53 (1976), 38-61.

  39. On boundary value problems of linear conjugation with measurable coefficients (with V. Paatashvili). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 55 (1977), 59-22.

  40. On maximal singular integral operator with Cauchy kernel. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 55 (1977), 38-58.

  41. Maximal inequalities and multipliers in weighted Lizorkin-Triebel spaces. (Russian) Dokl. Akad. Nauk SSSR 239 (1978), No. 1, 42-45; English transl.: Soviet Math. Dokl. 19 (1978), 272-276.

  42. On traces of functions with partial derivatives from Orlicz classes. Comment. Math. Tomus spec. in hon. Ladislai Orlicz PWN, Polish Akad. Sci., Warcaw, 1978, 183-189.

  43. On weighted inequalities for singular integrals with Cauchy kernel on smooth contours. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 90 (1978), No. 3, 537-540.

  44. Boundary value problems with measurable coefficients for one class of boundary curves (with V. Paatashvili). (Russian) Soobshch. Akad. Nauk Gruzin. SSR 91 (1978), No. 1, 25-27.

  45. Bessel anisotropic potentials and imbedding theorems for limiting index. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 58 (1978), 134-149.

  46. On Calderon type singular integrals. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 61 (1979), 5-14.

  47. On some integral operators in weighted spaces. (Russian) In: Shkoli po teorii oper. v funct. prostr. Izd. Novosibirs. univ., Novosibirsk, 1979, 1-20.

  48. On Hardy's inequalities in weighted spaces. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 96 (1979), No. 1, 37-40.

  49. Maximal functions in weighted spaces. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 65 (1980), 110-121.

  50. Weighted inequalities for maximal functions with respect to Vitali regular family. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 98 (1980), No. 3, 545-547.

  51. Weighted inequalities for maximal functions with respect to Vitali regular family. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 66 (1980), 36-45.

  52. On multiple Hilbert transforms and multipliers in weighted spaces. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 98 (1980), No. 2, 285-288.

  53. Discontinuous problem of linear conjugation and singular integral equations (with V. Paatashvili). (Russian) Differentsial’nye Uravneniya 16 (1980), No. 9, 1650-1659; English transl.: Differ. Equations 16 (1980), No. 9, 1067-1075.

  54. Bisingular integral operators in weighted spaces. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 101 (1981), No. 2, 289-282.

  55. Singular integral operators in weighted spaces. Functions, series, operators, Vol. I, II (Budapest, 1980), 707-714, Colloq. Math. Soc. János Bolyai, 35, North-Holland, Amsterdam, 1983.

  56. Weighted Lizorkin-Triebel spaces. Singular integrals, multipliers, imbedding theorems. (Russian) Trudy Mat. Inst. Steklov. 161 (1983), 125-149; Engish transl.: Proc. Steklov Inst. Mat. 3 (1984), 135-162.

  57. On singular and bisingular integral operators in weighted spaces. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 69 (1982), 51-79.

  58. On traces for weighted anisotropic Lizorkin-Triebel spaces. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 73 (1983), 88-98.

  59. Anisotropic maximal inequalities with weights (with J. Rakosnik). In: Proc. Conf. Constr. Theory of functions’84, Sofia, 1984, 473-478.

  60. On the boundedness of Riesz potentials and fractional maximal functions. In: Proc. Conf. Constr. Theory of functions’84, Sofia, 1984, 470-472.

  61. Weighted inequalities for Riesz potentials and fractional maximal functions in Orlicz spaces (with M. Krbec). Soviet Math. Dokl. 32(1985), No. 1, 70-73.

  62. Weighted inequalities for anisotropic maximal functions (with J. Rákosník). Časopis Pěst. Mat. 110 (1985), No. 4, 384-393.

  63. Weighted inequalities for vector-valued anisotropic maximal functions (with J. Rákosník). Z. Anal. Anwendungen 4 (1985), No. 6, 503-511.

  64. Weighted inequalities for anisotropic potentials and maximal functions (with M. Gabidzashvili). (Russian) Dokl. Akad. Nauk SSSR 282 (1985), No. 6, 1304-1306; English transl.: Soviet Math. Dokl. 31 (1985), No. 1, 583-585.

  65. Weighted inequalities for some integrals transforms. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 76 (1985), 100-106.

  66. Maximal functions and integrals of potential type in weighted Lebesgue and Lorentz spaces. (Russian) Trudy Mat. Inst. Steklov. 172 (1985), 192-201; English transl.: Proc. Steklov Inst. Mat. 172 (1987), No. 3).

  67. On boundedness of anisotropic fractional maximal functions and potentials in weighted Orlicz spaces. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 82 (1986), 106-115.

  68. Weighted inequalities for maximal functions and fractional integral in Lorentz spaces. Math. Nachr. 133 (1987), 33-42.

  69. Anisotropic maximal functions and potentials in weighted Lorentz spaces. (Russian) Trudy Math. Inst. Steklov 180 (1987), 136-138; English transl.: Proc. Steklov Inst. Mat. 3 (1989), 159-161.

  70. Weighted estimates for maximal functions and fractional integrals in Lorentz spaces. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 86 (1987), 74-85.

  71. Singular integral in weighted Orlicz classes. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 89 (1988), 42-50.

  72. Potential on thin sets. (Russian) Rep. Enlarged Sess. Semin. I. N. Vekua Inst. Appl. Math. 3 (1988), No. 1, 49-52.

  73. Fractional integrals on spaces of homogeneous type (with A. Kufner). Comment. Math. Univ. Carolinae 30 (1989), No. 3, 511-523.

  74. Fractional integrals on curves. Trudy Tbiliss. Mat. Inst. Razmadze 95 (1989), 56-70.

  75. Potentials on thin sets. (Russian) Dokl. Akad. Nauk SSSR 301 (1989), No. 5; English transl.: Soviet Math. Dokl. 40 (1990), No. 2, 400-402.

  76. Weighted estimates for classical integral operators. In: Proceedings of the International Spring Scool: “Nonlinear Analysis, Function Spaces and Applications IV”, Roudnice nad Labem Czechoslovakia, 1990, May 21-25, Tcubner-Texte zur Mathematik, Teubner Verlag, Leipzig , 1990, 86-103.

  77. On a weight problem for integrals with positive kernels. Bull. Georg. Acad. Sci. 140 (1990), No. 3, 145-148.

  78. Potentials on thin sets. (Russian) Dokl. Akad. Nauk SSSR 301(1989), No. 5; English transl.: Soviet Math. Dokl. 40 (1990), No. 2, 400-402.

  79. Weighted estimates for fractional integrals on curves (with M. Gabidzashvili). (Russian) Dokl. Akad. Nauk SSSR 310 (1990), No. 1, 14-17; English transl.: Soviet Math. Dokl. 41 (1990), 5-7.

  80. Maximal functions in  classes (with A. Gogatishvili and M. Krbec). (Russian) Dokl. Akad. Nauk SSSR 314 (1990), No. 3, 534-536; English transl.: Soviet Math. Dokl. 42 (1991), No. 2, 488-490.

  81. On a weight problem for integrals with positive kernels. Bull. Georgian Acad. Sci. 140 (1990), No. 3, 145-148.

  82. A two weight weak inequality for potential type operators (with J. Rákosník). Comment. Math. Univ. Carolin. 32 (1991), No. 2, 251-263.

  83. Potentials on thin sets. (Russian) In: “Function Spaces and Appl. Diff. Equat.” Izd. Univ. Druzbi Narodov, Moskva, 1992, 25-47.

  84. Two-weight inequalities for generalized potentials (with M. Gabidzashvili and I. Genebashvili). Trudy Mat. Inst. Steklov 194 (1992), 89-96; English transl.: Proc. Steklov Inst. Mat. 1993, No. 4, 91-99.

  85. Solution of some weight problems. In: “Function Spaces, Differential Operators and Nonlinear Analysis”. Teubner-Texte zur Mathematik 133, 264-273, Teubner-Verlag, Leipzig, 1993.

  86. Riesz potential in weighted Lorentz spaces. In: Continuum Mechanics and Related Problems of Analysis. Proc. Int. Symp. Metsniereba Publishing House, Tbilisi , 1993, 382-389.

  87. Maximal functions,  classes and Carleson measures (with A. Gogatishvili, M. Krbec). Proc. A. Razmadze Math. Inst. 102 (1993), 85-97.

  88. Weighted norm inequalities for fractional maximal functions and integrals defined on homogeneous type spaces (with J. Genebashvili). Proc. A. Razmadze Math. Inst. 106 (1993), 63-76.

  89. Criteria of general weak type inequalities for integral transforms with positive kernels (with I. Genebashvili and A. Gogatishvili). Georgian Math. J. 1 (1994), No. 1, 9-29.

  90. Two-weight estimates for multipliers, and imbedding theorems (with P. I. Lizorkin). (Russian) Dokl. Akad. Nauk 336 (1994), No. 4, 439-441; English transl.: Russian Acad. Sci. Dokl. Math. 49 (1994), No. 3, 515-519.

  91. Criteria of weighted inequalities in Orlicz classes for maximal functions defined on homogeneous type spaces. Georgian Math. J. 1 (1994), No. 6, 617-649.

  92. Criteria of weight inequalities for integral transforms defined on homogeneous type spaces (with A. Gogatishvili). Topological vector spaces, algebras and related areas (Hamilton, ON, 1994), 251-262, Pitman Res. Notes Math. Ser., 316, Longman Sci. Tech., Harlow, 1994.

  93. Two-weight inequalities for singular integrals (with D. Edmunds). Canad.  Math. Bull. 38 (1995), No. 3, 295-303.

  94. The necessary and sufficient conditions for weighted Orlicz class inequalities for maximal functions and singular integrals (with A. Gogatishvili), I. Georgian Math. J. 2 (1995), No. 4, 361-384.

  95. The necessary and sufficient conditions for weighted Orlicz class inequalities for maximal functions and singular integrals (with A. Gogatishvili), II. Georgian Math. J. 2 (1995), No. 5, 445-468.

  96. Solution of two-weight problems for integral transforms with positive kernel (with I. Genebashvili and A. Gogatishvili). Georgian Math. J. 3 (1996), No. 4, 319-342.

  97. Criteria for two-weight inequalities for integral transforms with a positive kernel and for maximal functions (with I. Genebashvili and A. Gogatishvili). (Russian) Dokl. Akad. Nauk 351 (1996), No. 4, 448-451.

  98. Criteria of strong type two-weighted inequalities for fractional maximal functions (with A. Gogatishvili). Georgian Math. J. 3 (1996), No. 5, 423-446.

  99. Weighted inequalities for Hilbert transforms and multiplicators of Fourier series (with A. Meskhi). J. Inequal. Appl. 1 (1997), No. 3, 239-252.

  100. Two-weight inequalities for singular integrals defined on homogeneous groups (with A. Meskhi). Proc. A. Razmadze Math. Inst. 112 (1997), 57-90.

  101. Two-weighted inequalities for Hardy type operator in Lorentz spaces defined on homogeneous groups (with A. Meskhi). Proc. A. Razmadze Math. Inst. 112 (1997), 138-140.

  102. Two-weighted inequalities for singular integrals in Lorentz spaces defined on homogeneous groups (with A. Meskhi). Proc. A. Razmadze Math. Inst. 112 (1997), 143-145.

  103. Two-weighted inequalities for singular integrals on homogeneous type spaces (with A. Meskhi). Proc. A. Razmadze Math. Inst. 114 (1997), 119-123.

  104. Two-weight inequalities for singular integrals on homogeneous groups (with A. Meskhi). (Russian) Dokl. Akad. Nauk 354 (1997), No. 3, 301-303.

  105. On the Riemann-Hilbert problem in the domain with non-smooth boundary (with V. Paatashvili). Georgian Math. J. 4 (1997), No. 3, 279-302.

  106. Neumann problem in the class of harmonic functions in domain with a piecewise-Lyapunov boundary (with V. Paatashvili). Mem. Differential Equations Math. Phys. 12 (1997), 114-121.

  107. Boundedness and compactness of Hardy-type operators on Banach function spaces defined on measure spaces (with D. Edmunds and A. Meskhi). Proc. A. Razmadze Math. Inst. 117 (1998), 7-30.

  108. On compactness for potentials on SHT. Proc. A. Razmadze Math. Inst. 121 (1999), 153-154.

  109. On the compactness of weak singular integral operators on regular curves. Bull. Georgian Acad. Sci. 160 (1999), 199-200.

  110. Two-weight estimates for singular integrals defined on homogeneous type spaces (with D. E. Edmunds and A. Meskhi). Canad. J. Math. 52 (2000), No. 3, 468-502.

  111. Weight inequalities for the integrals defined on homogeneous and nonhomogeneous type spaces (with D. E. Edmunds and A. Meskhi). Georgian Math. J. 8 (2001), No. 1, 33-59.

  112. Two-weighted estimates for some integral transforms in Lebesgue spaces with mixed norm and imbedding theorems. Georgian Math. J. 1 (1994), No. 5, 495-503.

  113. New aspects in weight theory. In: Function Spaces, Differential Operators and Nonlinear Analysis. Prometeus Publishing House, Prague, 1996, 51-70.

  114. Two-weight compactness criteria for potential type operators (with D. Edmunds). Proc. A. Razmadze Math. Inst. 117 (1998), 123-125.

  115. Two-weighted inequalities for integral operators in Lorentz spaces on homogeneous groups (with A. Meskhi). Georgian Math. J. 6 (1999), No. 1, 65-85.

  116. Riemann-Hilbert problem in the domain with piecewise smooth boundaries (with V. Paatashvili). Bull. Georgian Acad. Sci. 159 (1999), No. 1, 11-14.

  117. On the Dirichlet and Neumann problem in the domains with piecewise smooth boundaries (with V. Paatashvili). Bull Acad. Sci. Georgia 159 (1999), No. 2, 181-184.

  118. Boundedness and compactness criteria for some classical integral transforms (with A. Meskhi). Function spaces (Poznań, 1998), 279-296, Lecture Notes in Pure and Appl. Math., 213, Dekker, New York, 2000.

  119. On the boundedness and compactness of generalized truncated potentials (with A. Meskhi). Bull. TICMI 4 (2000), 28-31.

  120. Norms of positive operators on some cones of functions defined on measure spaces (with A. Meskhi). Proc. A. Razmadze Math. Inst. 122 (2000), 59-78.

  121. A survey of recent results of Georgian mathematicians on boundary value problems for holomorphic functions. Mem. Differential Equations Math. Phys. 23 (2001), 85-138.

  122. On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations (with A. Meskhi). Georgian Math. J. 8 (2001), No. 3, 521-536.

  123. Boundedness and compactness criteria for the generalized truncated potentials (with A. Meskhi). (Russian) Trudy Mat. Inst. Steklov. 232 (2001), 164-178; English transl.: Proc. Steklov Inst. Math. 232 (2001), 157-171.

  124. Fractional integrals on measure spaces (with A. Meskhi). Fract. Calc. Appl. Anal. 4 (2001), No. 1, 1-24.

  125. Criteria for the boundedness and compactness of operators with power-logarithmic kernels (with A. Meskhi). Anal. Math. 27 (2001), No. 2, 173-185.

  126. Weight problems for higher dimensional singular integrals via Clifford analysis (with A. Meskhi). Clifford analysis and its applications (Prague, 2000), 247-253, NATO Sci. Ser. II Math. Phys. Chem., 25, Kluwer Acad. Publ., Dordrecht, 2001.

  127. On Fourier multipliers in weighted Triebel-Lizorkin spaces (with D. E. Edmunds and A. Meskhi). J. Inequal. Appl. 7 (2002), No. 4, 555-591.

  128. Weight inequalities for one-sided potentials for critical weights (with A. Meskhi). Fract. Calc. Appl. Anal. 25 (2002), 255-265.

  129. A problem of linear conjugation for analytic functions with boundary values from the Zygmund class (with V. Paatashvili). Georgian Math. J. 9 (2002), 309-324.

  130. Maximal and fractional operators in weighted  spaces (with S. Samko). Proc. A. Razmadze Math. Inst. 129 (2002), 145-149.

  131. Singular integrals and potentials in some Banach function spaces with variable exponent (with S. Samko). Proc. A. Razmadze Math. Inst. 129 (2002), 150-155.

  132. Two-weighted estimates for Fourier multipliers in Lebesgue spaces. Proc. A. Razmadze Math. Inst. 132 (2003), 148-149.

  133. On the inversion and characterization of the Riesz potentials in the weighted Lebesgue spaces (with A. Meskhi and S. Samko). Mem. Differential Equations Math. Phys. 29 (2003), 31-45.

  134. On Sobolev theorem for Riesz-type potentials in Lebesgue spaces with variable exponent (with S. Samko). Z. Anal. Anwendungen 22 (2003), No. 4, 1-12.

  135. Singular integrals in weighted Lebesgue space with variable exponent (with S. Samko). Georgian Math. J. 10 (2003), No. 1, 145-156.

  136. Singular integral equations in Lebesgue spaces with variable exponent (with S. Samko). Proc. A. Razmadze Math. Inst. 131 (2003), 61-78.

  137. Singular integrals and potentials in some Banach function spaces with variable exponent (with S. Samko). J. Funct. Spaces Appl. 1 (2003), No. 1.

  138. The Dirichlet problem for harmonic functions with boundary values from Zygmund classes (with V. Paatashvili). Georgian Math. J. 10 (2003), No. 3, 531-542.

  139. Boundary value problems for analytic and harmonic functions of Smirnov classes in the domains with nonsmooth boundaries (with Z. Meshveliani and V. Paatashvili). Proc. Conf. in Madeira in honour of Prof. G. Litvinchuk, Kluwer Academic Publishers, 2003.

  140. On Fourier multipliers (with D. E. Edmunds). J. Anal. Appl. 1 (2003), No. 3, 143-155.

  141. On a trace inequality for one-sided potentials with multiple kernels (with A. Meskhi). Fract. Calc. Appl. Anal. 6 (2003), No. 4, 461-472.

  142. A trace inequality of generalized potentials in Lebesgue spaces with variable exponent (with D. E. Edmunds and A. Meskhi). J. Funct. Spaces Appl. 2 (2004), No. 1, 55-69.

  143. Maximal and fractional operators in weighted $L^{p(x)}$ spaces (with S. Samko). Revista Math. Iberoamericana 20 (2004), No. 2, 495-517.

  144. On the solvability of divergence equation in the theory of incompressible fluids. Mem. Differential equations Math. Phys. 31 (2004), 131-134.

  145. On the boundedness and completeness of weight Hardy operators in  spaces (with D. E. Edmunds and A. Meskhi). Studia Math. (accepted).

  146. On one-sided potentials with multiple kernels (with A. Meskhi). Integral Transform. Spec. Funct. (accepted)