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(i) ÌÏÍÏÂÒÀ×ÉÄÁÉ

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

(ii) ÓÀÌÄÝÍÉÄÒÏ ÓÔÀÔÉÄÁÉ

  1. On A-integrals of Cauchy type. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 27 (1961), 663-670.

  2. Conjugate functions and Cauchy's singular integrals. (Russian) Dokl. Akad. Nauk SSSR 140 (1961), 1270-1273.

  3. On conjugate functions and integrals of Cauchy type. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 32 (1963), 257-263.

  4. Conjugate functions and integrals of Cauchy type. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 31 (1966), 5-54.

  5. Cauchy-Stieltjes type integrals. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 34 (1968), 160-169.

  6. Conjugate functions and singular Cauchy-Stieltjes integrals. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 38 (1970), 73-84.

  7. The boundedness of a singular operator with Cauchy kernel. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 42 (1972), 95-103.

  8. Cauchy type integrals. (Russian) Proceedings of the Symposium on Continuum Mechanics and Related Problems of Analysis (Tbilisi, 1971), Vol. 1 (Russian), pp. 233-240. Izdat. “Mecniereba”, Tbilisi, 1973.

  9. The Cauchy singular operator, and the integral of Cauchy type. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 79 (1975), No. 1, 33-35.

  10. The singular Cauchy integral, and the integral of Cauchy type. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 53 (1976), 73-86.

  11. On the singular Cauchy operator on a countable set of concentric circles (with V. Paatashvili). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 69 (1982), 80-92.

  12. On the boundedness of the singular Cauchy operator in Lebesgue spaces in the case of non-smooth contours (with V. Paatashvili). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 69 (1982), 93-107.

  13. On the derivative of conformal mapping (with V. Paatashvili). (Russian) Soobshch. Akad. Nauk Gruzin. SSR 127 (1987), 473-475.

  14. On an application of the problem of linear conjugation to the study of properties of a conformal mapping (with V. Paatashvili). (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 88 (1989), 27-40.

  15. On Riemann-Hilbert problem in domain with non-smooth boundary (with V. Paatashvili). (Russian) Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 5 (1990), No. 1, 153-156.

  16. On Dirichlet problem for harmonic functions in domain with piecewise smooth boundary (with V. Paatashvili). (Russian) Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 7 (1992), No. 1.

  17. Riemann-Hilbert problem in the domain with nonsmooth boundary (with V. Paatashvili). (Russian) Proc. A. Razmadze Math. Inst. 106 (1993), 105-122.

  18. On the boundedness of Cauchy singular operator from the space Lp to Lq,  (with V. Paatashvili). Georgian Math. J. 1 (1994), No. 4, 395-404.

  19. On the inclusion of the Cauchy type integrals into the Smirnov’s classes (with V. Paatashvili). Proc. Razmadze Math. Inst. 114 (1997), 71-80.

  20. On conformal mapping of simply connected domains with a piece-wise smooth boundary (with V. Paatashvili). Proc. Razmadze Math. Inst. 114 (1997), 81-88.

  21. On the continuity of the Cauchy operator from the space Lp(G) to Lq(G) for  (with V. Paatashvili). Proc. Razmadze Math. Inst. 114 (1997), 124-125.

  22. Application of an extension of the Lebesgue integral to the investigation of a boundary value problem of linear conjugation. Proc. A. Razmadze Math. Inst. 117 (1998), 71-78.

  23. On the derivative of conformal mapping function. Proc. A. Razmadze Math. Inst. 118 (1998), 49-60.

  24. On the conformal mapping of a circle onto a domain with an arbitrary piecewise smooth boundary (with V. Paatashvili). Proc. A. Razmadze Math. Inst. 116 (1998), 123-132.

  25. On conformal mapping of the domain with a piecewise smooth curve on the same domain (with V. Paatashvili). Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 13 (1998), No. 1, 20-22.

  26. On the boundedness of Cauchy singular integral operator (with V. Paatashvili). Proc. A. Razmadze Math. Inst. 124 (2000), 107-114.

  27. On a representation of the derivatives of conformal mappings (with V. Paatashvili). Georgian Math. J. 8 (2001), No. 3, 513-520.

  28. Zaremba’s problem in one class of harmonic functions (with V. Paatashvili). Proc. A. Razmadze Math. Inst. 132 (2003), 143-147.