Edit Profile (opens in new tab) Paatashvili, Vakhtang Co-Author Distance Author ID: paatashvili.vakhtang Published as: Paatashvili, V.; Paatashvili, V. A.; Paatashvili, Vakhtang more...less Homepage: https://rmi.tsu.ge/person/paatashvili/ External Links: Math-Net.Ru Documents Indexed: 99 Publications since 1964, including 1 Book Co-Authors: 10 Co-Authors with 54 Joint Publications 257 Co-Co-Authors all top 5 Co-Authors 29 single-authored 42 Kokilashvili, Vakhtang 7 Khuskivadze, G. A. 4 Meshveliani, Zurab 3 Meskhi, Alexander 2 Kiguradze, Ivan Tarielovich 2 Samko, Stefan Grigor’evich 1 Akhalaia, Giorgi 1 Bantsuri, R. D. 1 Khuskivadze, Givi 1 Saginashvili, A. I. all top 5 Serials 37 Proceedings of A. Razmadze Mathematical Institute 13 Memoirs on Differential Equations and Mathematical Physics 9 Georgian Mathematical Journal 7 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 3 Complex Variables and Elliptic Equations 2 Journal of Mathematical Sciences (New York) 2 Bulletin of the Georgian Academy of Sciences 2 Bulletin of the Georgian National Academy of Sciences. New Series 2 Transactions of A. Razmadze Mathematical Institute 1 Doklady Akademii Nauk SSSR 1 Mathematical Methods in the Applied Sciences 1 Differential Equations 1 Soviet Mathematics. Doklady 1 Zeitschrift für Analysis und ihre Anwendungen 1 Proceedings of the Georgian Academy of Sciences. Mathematics 1 Journal of Function Spaces and Applications 1 Lecture Notes of TICMI 1 Boundary Value Problems 1 Complex Analysis and Operator Theory 1 Georgian International Journal of Science, Technology and Medicine 1 Mathematics Research Developments all top 5 Fields 67 Functions of a complex variable (30-XX) 29 Operator theory (47-XX) 21 Integral equations (45-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 15 Potential theory (31-XX) 12 Partial differential equations (35-XX) 6 Functional analysis (46-XX) 5 History and biography (01-XX) 1 Real functions (26-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 125 times in 59 Documents Cited by ▼ Year ▼ Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in \(L^{p(\cdot)}(\Gamma)\). Zbl 1079.30057 Kokilashvili, V.; Paatashvili, V.; Samko, S. 14 2005 Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings. Zbl 0947.30030 Khuskivadze, Givi; Kokilashvili, Vakhtang; Paatashvili, Vakhtang 14 1998 On Hardy classes of analytic functions with a variable exponent. Zbl 1126.47031 Kokilashvili, V.; Paatashvili, V. 11 2006 Boundedness in Lebesgue spaces with variable exponent of the Cauchy singular operator on Carleson curves. Zbl 1121.47024 Kokilashvili, Vakhtang; Paatashvili, Vakhtang; Samko, Stefan 10 2006 The Riemann-Hilbert problem in weighted classes of Cauchy type integrals with density from \(L^{P(\cdot)}(\Gamma)\). Zbl 1193.47036 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 8 2008 Boundary value problems for analytic and harmonic functions in nonstandard Banach function spaces. Zbl 1260.30001 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 7 2012 On the boundedness of the singular Cauchy operator in Lebesgue spaces, in the case of non-smooth contours. Zbl 0535.47027 Paatashvili, V. A.; Khuskivadze, G. A. 6 1982 On variable Hardy and Smirnov classes of analytic functions. Zbl 1259.30029 Kokilashvili, V.; Paatashvili, V. 6 2008 Riemann-Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue spaces. Zbl 06900949 Kokilashvili, V.; Paatashvili, V. 5 2018 The Dirichlet problem for harmonic functions from variable exponent Smirnov classes in domains with piecewise smooth boundary. Zbl 1226.30039 Kokilashvili, V.; Paatashvili, V. 4 2011 On the convergence of sequences of functions in Hardy classes with a variable exponent. Zbl 1166.47033 Kokilashvili, V.; Paatashvili, V. 4 2008 The Riemann-Hilbert problem in a domain with piecewise smooth boundaries in weight classes of Cauchy type integrals with a density from variable exponent Lebesgue spaces. Zbl 1215.47027 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 3 2009 Zaremba’s boundary value problem in the Smirnov class of harmonic functions in domains with piecewise-smooth boundaries. Zbl 1218.31001 Khuskivadze, G.; Paatashvili, V. 2 2010 Weighted Hardy and Smirnov classes and the Dirichlet problem for a ring within the framework of variable exponent analysis. Zbl 1256.30022 Kokilashvili, V.; Paatashvili, V. 2 2011 The Dirichlet problem for variable exponent Smirnov class harmonic functions in doubly-connected domains. Zbl 1256.30021 Khuskivadze, G.; Kokilashvili, V.; Paatashvili, V. 2 2011 The Dirichlet problem for harmonic functions in the Smirnov class with variable exponent. Zbl 1126.30026 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 2 2007 The Dirichlet problem for harmonic functions with boundary values from Zygmund classes. Zbl 1047.31001 Kokilashvili, V.; Paatashvili, V. 2 2003 On the boundary value problem of linear conjugation with measurable coefficients. Zbl 0332.30015 Kokilashvili, V. M.; Paatashvili, V. A. 2 1975 A boundary value problem of linear conjugation with mesurable coefficients. Zbl 0435.30035 Kokilashvili, V. M.; Paatashvili, V. A. 2 1977 On some properties of analytic functions from Smirnov class with a variable exponent. Zbl 1351.30025 Paatashvili, Vakhtang 2 2012 The Riemann and Dirichlet problems with data from the grand Lebesgue spaces. Zbl 1276.47039 Kokilashvili, V.; Paatashvili, V. 2 2013 On the singular Cauchy operator on a countable set of concentric circles. Zbl 0535.47028 Paatashvili, V. A.; Khuskivadze, G. A. 1 1982 Generalization of I. Vekua’s integral representations of holomorphic functions and their application to the Riemann-Hilbert-Poincaré problem. Zbl 1237.30012 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 1 2011 On Smirnov classes of harmonic functions, and the Dirichlet problem. Zbl 0977.30023 Meshveliani, Z.; Paatashvili, V. 1 2000 Über singuläre Cauchyintegrale. Zbl 0182.44301 Paatashvili, V. A. 1 1969 Über die Zugehörigkeit zu den Klassen \(E_p\) analytischer Funktionen, die durch ein Integral vom Cauchyschen Typ darstellbar sind. Zbl 0311.30037 Paatashvili, V. A. 1 1972 Zaremba’s problem in Smirnov class of harmonic functions in domains with piecewise-Lyapunov boundaries. Zbl 1171.35359 Khuskivadze, G.; Paatashvili, V. 1 2007 Ramazan Abdulaev (1936–2004). Zbl 1077.01531 Paatashvili, V. 1 2004 The Dirichlet and Riemann-Hilbert problems in Smirnov classes with variable exponent in doubly connected domains. Zbl 1304.35473 Kokilashvili, V.; Paatashvili, V. 1 2014 The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces. Zbl 1372.47038 Kokilashvili, Vakhtang; Meskhi, Alexander; Paatashvili, Vakhtang 1 2016 On the Riemann-Hilbert boundary value problem for generalized analytic functions in the framework of variable exponent spaces. Zbl 06836393 Kokilashvili, V.; Paatashvili, V. 1 2017 Smirnov classes of analytic functions with variable exponent in multiply connected domains. Zbl 1395.30056 Paatashvili, V. 1 2016 On variable exponent Hardy classes of analytic functions. Zbl 1353.30052 Kokilashvili, V.; Paatashvili, V. 1 2015 The Riemann boundary value problem in variable exponent Smirnov class of generalized analytic functions. Zbl 1353.30045 Kokilashvili, V.; Paatashvili, V. 1 2015 The Riemann-Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue spaces. Zbl 1358.30014 Kokilashvili, Vakhtang; Meskhi, Alexander; Paatashvili, Vakhtang 1 2016 Haseman’s problem in classes of functions representable by the Cauchy type integral with density from \(L^{p(\cdot)}(\Gamma;\rho)\). Zbl 1221.30088 Paatashvili, Vakhtang 1 2010 Riemann-Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue spaces. Zbl 06900949 Kokilashvili, V.; Paatashvili, V. 5 2018 On the Riemann-Hilbert boundary value problem for generalized analytic functions in the framework of variable exponent spaces. Zbl 06836393 Kokilashvili, V.; Paatashvili, V. 1 2017 The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces. Zbl 1372.47038 Kokilashvili, Vakhtang; Meskhi, Alexander; Paatashvili, Vakhtang 1 2016 Smirnov classes of analytic functions with variable exponent in multiply connected domains. Zbl 1395.30056 Paatashvili, V. 1 2016 The Riemann-Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue spaces. Zbl 1358.30014 Kokilashvili, Vakhtang; Meskhi, Alexander; Paatashvili, Vakhtang 1 2016 On variable exponent Hardy classes of analytic functions. Zbl 1353.30052 Kokilashvili, V.; Paatashvili, V. 1 2015 The Riemann boundary value problem in variable exponent Smirnov class of generalized analytic functions. Zbl 1353.30045 Kokilashvili, V.; Paatashvili, V. 1 2015 The Dirichlet and Riemann-Hilbert problems in Smirnov classes with variable exponent in doubly connected domains. Zbl 1304.35473 Kokilashvili, V.; Paatashvili, V. 1 2014 The Riemann and Dirichlet problems with data from the grand Lebesgue spaces. Zbl 1276.47039 Kokilashvili, V.; Paatashvili, V. 2 2013 Boundary value problems for analytic and harmonic functions in nonstandard Banach function spaces. Zbl 1260.30001 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 7 2012 On some properties of analytic functions from Smirnov class with a variable exponent. Zbl 1351.30025 Paatashvili, Vakhtang 2 2012 The Dirichlet problem for harmonic functions from variable exponent Smirnov classes in domains with piecewise smooth boundary. Zbl 1226.30039 Kokilashvili, V.; Paatashvili, V. 4 2011 Weighted Hardy and Smirnov classes and the Dirichlet problem for a ring within the framework of variable exponent analysis. Zbl 1256.30022 Kokilashvili, V.; Paatashvili, V. 2 2011 The Dirichlet problem for variable exponent Smirnov class harmonic functions in doubly-connected domains. Zbl 1256.30021 Khuskivadze, G.; Kokilashvili, V.; Paatashvili, V. 2 2011 Generalization of I. Vekua’s integral representations of holomorphic functions and their application to the Riemann-Hilbert-Poincaré problem. Zbl 1237.30012 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 1 2011 Zaremba’s boundary value problem in the Smirnov class of harmonic functions in domains with piecewise-smooth boundaries. Zbl 1218.31001 Khuskivadze, G.; Paatashvili, V. 2 2010 Haseman’s problem in classes of functions representable by the Cauchy type integral with density from \(L^{p(\cdot)}(\Gamma;\rho)\). Zbl 1221.30088 Paatashvili, Vakhtang 1 2010 The Riemann-Hilbert problem in a domain with piecewise smooth boundaries in weight classes of Cauchy type integrals with a density from variable exponent Lebesgue spaces. Zbl 1215.47027 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 3 2009 The Riemann-Hilbert problem in weighted classes of Cauchy type integrals with density from \(L^{P(\cdot)}(\Gamma)\). Zbl 1193.47036 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 8 2008 On variable Hardy and Smirnov classes of analytic functions. Zbl 1259.30029 Kokilashvili, V.; Paatashvili, V. 6 2008 On the convergence of sequences of functions in Hardy classes with a variable exponent. Zbl 1166.47033 Kokilashvili, V.; Paatashvili, V. 4 2008 The Dirichlet problem for harmonic functions in the Smirnov class with variable exponent. Zbl 1126.30026 Kokilashvili, Vakhtang; Paatashvili, Vakhtang 2 2007 Zaremba’s problem in Smirnov class of harmonic functions in domains with piecewise-Lyapunov boundaries. Zbl 1171.35359 Khuskivadze, G.; Paatashvili, V. 1 2007 On Hardy classes of analytic functions with a variable exponent. Zbl 1126.47031 Kokilashvili, V.; Paatashvili, V. 11 2006 Boundedness in Lebesgue spaces with variable exponent of the Cauchy singular operator on Carleson curves. Zbl 1121.47024 Kokilashvili, Vakhtang; Paatashvili, Vakhtang; Samko, Stefan 10 2006 Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in \(L^{p(\cdot)}(\Gamma)\). Zbl 1079.30057 Kokilashvili, V.; Paatashvili, V.; Samko, S. 14 2005 Ramazan Abdulaev (1936–2004). Zbl 1077.01531 Paatashvili, V. 1 2004 The Dirichlet problem for harmonic functions with boundary values from Zygmund classes. Zbl 1047.31001 Kokilashvili, V.; Paatashvili, V. 2 2003 On Smirnov classes of harmonic functions, and the Dirichlet problem. Zbl 0977.30023 Meshveliani, Z.; Paatashvili, V. 1 2000 Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings. Zbl 0947.30030 Khuskivadze, Givi; Kokilashvili, Vakhtang; Paatashvili, Vakhtang 14 1998 On the boundedness of the singular Cauchy operator in Lebesgue spaces, in the case of non-smooth contours. Zbl 0535.47027 Paatashvili, V. A.; Khuskivadze, G. A. 6 1982 On the singular Cauchy operator on a countable set of concentric circles. Zbl 0535.47028 Paatashvili, V. A.; Khuskivadze, G. A. 1 1982 A boundary value problem of linear conjugation with mesurable coefficients. Zbl 0435.30035 Kokilashvili, V. M.; Paatashvili, V. A. 2 1977 On the boundary value problem of linear conjugation with measurable coefficients. Zbl 0332.30015 Kokilashvili, V. M.; Paatashvili, V. A. 2 1975 Über die Zugehörigkeit zu den Klassen \(E_p\) analytischer Funktionen, die durch ein Integral vom Cauchyschen Typ darstellbar sind. Zbl 0311.30037 Paatashvili, V. A. 1 1972 Über singuläre Cauchyintegrale. Zbl 0182.44301 Paatashvili, V. A. 1 1969 all cited Publications top 5 cited Publications all top 5 Cited by 63 Authors 14 Kokilashvili, Vakhtang 10 Paatashvili, Vakhtang 4 Karlovych, Oleksiy 4 Samko, Stefan Grigor’evich 3 Böttcher, Albrecht 3 Karlovich, Yuri I. 3 Meskhi, Alexander 3 Rabinovich, Vladimir Samuilovich 2 Garayev, Mübariz Tapdıgoğlu 2 Hao, Zhiwei 2 He, Fuli 2 Israfilov, Daniyal M. 2 Jafarov, Sadulla Z. 2 Li, Libo 2 Nyaga, V. I. 2 Sawano, Yoshihiro 2 Shargorodsky, Eugene 2 Spitkovsky, Ilya Matvey 1 Abreu-Blaya, Ricardo 1 Bory Reyes, Juan 1 Chacón, Gerardo A. 1 Chacón, Gerardo R. 1 Chen, Ling 1 Cui, Yanyan 1 Dang, Pei 1 Du, Zhihua 1 Ferguson, Timothy 1 Fernandes, Claudio A. 1 Fiorenza, Alberto 1 Grudsky, Sergei Mikhailovich 1 Guediri, Hocine 1 Guo, Guoan 1 Gursel, Elife 1 Jiang, Weihua 1 Jin, Chenkai 1 Kats, Boris Aleksandrovich 1 Lenells, Jonatan 1 Li, Fachao 1 Li, Zunfeng 1 Mamedkhanov, Jamal Islam oglu 1 Mamedova, Zahira Vahid 1 Mandzhavidze, N. 1 Manjavidze, Giorgi F. 1 Manjavidze, Nino 1 Medalha, Samuel 1 Najafov, Tofig Isa 1 Nakai, Eiichi 1 Nasibova, Natavan P. 1 Qiao, Yuying 1 Rojas, Edixon Manuel 1 Rutsky, Dmitry V. 1 Sadraoui, Houcine 1 Samko, Natasha 1 Shu, Chang 1 Sobolev, Alexander V. 1 Tarkhanov, Nikolai N. 1 Testici, Ahmet 1 van Suijlekom, Walter Daniël 1 Vargas-De-Teón, Robert 1 Wang, Shuai 1 Xie, Yonghong 1 Yang, Anming 1 Zhou, Xianli all top 5 Cited in 32 Serials 7 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Analysis and Applications 4 Integral Equations and Operator Theory 3 Ukrainian Mathematical Journal 3 Complex Variables and Elliptic Equations 3 Annals of Functional Analysis 2 Mathematical Notes 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Georgian Mathematical Journal 2 Journal of Inequalities and Applications 2 Boundary Value Problems 2 Transactions of A. Razmadze Mathematical Institute 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Czechoslovak Mathematical Journal 1 Dissertationes Mathematicae 1 Functional Analysis and its Applications 1 Journal of Functional Analysis 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 The Journal of Geometric Analysis 1 Indagationes Mathematicae. New Series 1 Vestnik St. Petersburg University. Mathematics 1 St. Petersburg Mathematical Journal 1 Memoirs on Differential Equations and Mathematical Physics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Computational Methods and Function Theory 1 Journal of Function Spaces and Applications 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Mathematical Sciences all top 5 Cited in 15 Fields 26 Functions of a complex variable (30-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 20 Operator theory (47-XX) 18 Functional analysis (46-XX) 13 Integral equations (45-XX) 5 Partial differential equations (35-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Citations by Year