(i)

  1. Bounded and compact integral operators (with D. E. Edmunds and V. Kokilashvili). Mathematics and its Applications, 543. Kluwer Academic Publishers, Dordrecht, 2002.

(ii)

  1. Two-weight inequalities for singular integrals defined on Heisenberg groups. Bull. Georgian Acad. Sci. 153 (1996), No. 1, 34-36.

  2. Two-weight inequalities for potentials defined on homogeneous groups. Bull. Georgian Acad. Sci. 154 (1996), No. 3, 355-357.

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

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

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

  6. Two-weighted inequalities for singular integrals on the Lorentz spaces defined on homogeneous groups (with V. Kokilashvili). Proc. A. Razmadze Math. Inst. 112 (1997), 143-145.

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

  8. Two-weight inequalities for singular integrals on homogeneous groups (with V. Kokilashvili). (Russian) Dokl. Akad. Nauk 354 (1997), No. 3, 301-303; English. transl.: Dokl. Math. 55 (1997), No. 3, 362-364.

  9. Two-weight inequalities for potentials defined on homogeneous groups. Proc. A. Razmadze Math. Inst. 112 (1997), 91-113.

  10. Two-weight inequalities for potentials in Lorentz spaces defined on homogeneous groups. Proc. A. Razmadze Math. Inst. 112 (1997), 148-150.

  11. Koosis type theorems for singular integrals and potentials defined on homogeneous groups. Proc. A. Razmadze Math. Inst. 114 (1997), 59-70.

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

  13. Two weighted inequalities for a discrete Hilbert transform (with I. Gabisonia). Proc. A. Razmadze Math. Inst. 116 (1998), 107-122.

  14. Two-weight inequalities for a discrete Hardy operators and Hilbert transform (with I. Gabisonia). Bull. Georgian Acad. Sci. 158 (1998), No. 2, 191-193.

  15. Solution of some weight problems for the Riemann-Liouville and Weyl operators. Georgian Math. J. 5 (1998), No. 6, 565-574.

  16. Boundedness and compactness weighted criteria for Riemann-Liouville and one-sided maximal operators. Proc. A. Razmadze Math. Inst. 117 (1998), 126-128.

  17. Weighted inequalities for Riemann-Liouville operator. Proc. A. Razmadze Math. Inst. 117 (1998), 150-152.

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

  19. Criteria for the boundedness and compactness for the generalized Riemann-Liouville operators. Proc. A. Razmadze Math. Inst. 121 (1999), 161-162.

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

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

  22. On the boundedness and compactness of generalized truncated potentials (with V. Kokilashvili). Bull. TICMI 4 (2000), 28-31.

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

  24. On the boundedness and compactness of ball fractional integral operators. Fract. Calc. Appl. Anal. 3 (2000), No.1, 13-30.

  25. On the measure of noncompactness and singular numbers for the Volterra integral operators. Proc. A. Razmadze Math. Inst. 123 (2000), 162-164.

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

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

  28. Boundedness and compactness criteria for the generalized truncated potentials (with V. Kokilashvili). (Russian) Tr. Mat. Inst. Steklova 232 (2001), 164-178. Engl. transl.: Proc. Steklov Inst. Math. 232 (2001), 157-171.

  29. Fractional integrals on measure spaces (with V. Kokilashvili). Fract. Calc. Appl. Anal. 4 (2001), No. 1, 1-24.

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

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

  32. Criteria of the boundedness and compactness for generalized Riemann-Liouville operator. Real Anal. Exchange 26 (2000/2001), No. 1, 217-236.

  33. Criteria for the boundedness and compactness of operators with positive kernels. Proc. Edinburgh Math. Soc. 44 (2001), 267-284.

  34. On the singular numbers for some integral operators. Rev. Mat. Complut. 14 (2001), No. 2, 379-393.

  35. Asymptotic behaviour of singular and entropy numbers for some Riemann-Liouville type operators. Georgian Math. J. 8 (2001), No.2, 323-332.

  36. On the boundedness and compactness criteria for the Riemann-Liouville type discrete operators. Proc. A. Razmadze Math. Inst. 126 (2001), 117-119.

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

  38. Potential type operators in Lp(x) spaces (with D. E. Edmunds). Z. Anal. Anwendungen 21 (2002), 681-690.

  39. Weight inequalities for one-sided potentials for critical weights (with V. Kokilashvili). Fract. Calc. Appl. Anal. 25 (2002), 255-265.

  40. On a measure of non-compactness for the Riesz transforms. Proc. A. Razmadze Math. Inst. 129 (2002), 156-157.

  41. On a measure of non-compactness for maximal operators (with D. E. Edmunds). Math. Nachr. 254/255 (2003), 97-106.

  42. On a measure of non-compacftness for singular integrals. J. Funct. Spaces Appl. 1 (2003), No. 1, 35-43.

  43. On the inversion and characterization of the Riesz potentials in the weighted Lebesgue spaces (with V. Kokilashvili and S. Samko). Mem. Differential Equation Math. Phys. 29 (2003), 31-45.

  44. On trace inequality in Lebesgue spaces with variable exponent (with D. E Edmunds and V. Kokilashvili). J. Funct. Spaces Appl.  (accepted).

  45. On the boundedness and compactness of weighted Hardy operators in Lp(x) spaces (with D. E Edmunds and V. Kokilashvili). Studia Math. (to appear).

  46. On one-sided potentials with multiple kernel (with V. Kokilashvili). Integral Transforms and Special Functions (accepted).