Kokilashvili, V.; Paatashvili, V. The Riemann boundary value problem in variable exponent Smirnov class of generalized analytic functions. (English) Zbl 1353.30045 Proc. A. Razmadze Math. Inst. 169, 105-118 (2015). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 30G20 30E25 35Q15 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 169, 105--118 (2015; Zbl 1353.30045)
Kokilashvili, V.; Paatashvili, V. On variable exponent Hardy classes of analytic functions. (English) Zbl 1353.30052 Proc. A. Razmadze Math. Inst. 169, 93-103 (2015). Reviewer: Evgueni Doubtsov (St. Petersburg) MSC: 30H10 30E20 31A25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 169, 93--103 (2015; Zbl 1353.30052)
Kokilashvili, V.; Paatashvili, V. On the occasion of Boris Khvedelidze’s 100th birthday anniversary. (English) Zbl 1332.01050 Proc. A. Razmadze Math. Inst. 169, 1-7 (2015). MSC: 01A70 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 169, 1--7 (2015; Zbl 1332.01050)
Paatashvili, V. The Riemann-Hilbert problem in Smirnov class with a variable exponent and an arbitrary power weight. (English) Zbl 1320.30074 Proc. A. Razmadze Math. Inst. 165, 117-133 (2014). Reviewer: Nino Manjavidze (Tbilisi) MSC: 30E25 PDFBibTeX XMLCite \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 165, 117--133 (2014; Zbl 1320.30074)
Paatashvili, V. The Noetherity criteria of the Riemann-Hilbert problem for variable exponent Smirnov classes in domains with piecewise smooth boundaries. (English) Zbl 1303.30035 Proc. A. Razmadze Math. Inst. 164, 130-135 (2014). Reviewer: Nino Manjavidze (Tbilisi) MSC: 30E25 30H05 PDFBibTeX XMLCite \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 164, 130--135 (2014; Zbl 1303.30035) Full Text: Link
Kiguradze, I.; Kokilashvili, V.; Paatashvili, V.; Shavlakadze, N. Obituary: Revaz Bantsuri [June 10, 1936 – 2014]. (English) Zbl 1294.01049 Proc. A. Razmadze Math. Inst. 164, 1-3 (2014). MSC: 01A70 PDFBibTeX XMLCite \textit{I. Kiguradze} et al., Proc. A. Razmadze Math. Inst. 164, 1--3 (2014; Zbl 1294.01049) Full Text: Link
Paatashvili, V. Variable exponent Smirnov classes of generalized analytic functions. (English) Zbl 1346.30022 Proc. A. Razmadze Math. Inst. 163, 93-110 (2013). Reviewer: Jiří Rákosník (Praha) MSC: 30H20 30H15 PDFBibTeX XMLCite \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 163, 93--110 (2013; Zbl 1346.30022)
Paatashvili, V. On the Riemann problem with a measurable coefficient in the class of Cauchy type integrals with density from \(L^{p(t)}\). (English) Zbl 1288.30035 Proc. A. Razmadze Math. Inst. 162, 151-155 (2013). MSC: 30E25 30E20 PDFBibTeX XMLCite \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 162, 151--155 (2013; Zbl 1288.30035)
Kokilashvili, V.; Paatashvili, V. The Dirichlet problem for harmonic functions from variable exponent Smirnov classes in domains with a piecewise smooth boundary. (English) Zbl 1237.30011 Proc. A. Razmadze Math. Inst. 155, 154-157 (2011). Reviewer: Yinying Kong (Guangzhou) MSC: 30E25 42B30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 155, 154--157 (2011; Zbl 1237.30011)
Paatashvili, V. The Haseman’s problem with a piecewise-continuous coefficient in classes of functions representable by the Cauchy type integral with density from \(L^{p(\cdot)}(\Gamma)\). (English) Zbl 1227.47022 Proc. A. Razmadze Math. Inst. 154, 111-126 (2010). Reviewer: Themistocles M. Rassias (Athens) MSC: 47B38 30E20 30E25 42B20 PDFBibTeX XMLCite \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 154, 111--126 (2010; Zbl 1227.47022)
Kokilashvili, V.; Paatashvili, V. On the convergence of sequences of functions in Hardy classes with a variable exponent. (English) Zbl 1166.47033 Proc. A. Razmadze Math. Inst. 146, 124-126 (2008). Reviewer: Mubariz T. Karaev (Isparta) MSC: 47B38 42B20 45P05 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 146, 124--126 (2008; Zbl 1166.47033) Full Text: Link
Khuskivadze, G.; Paatashvili, V. The Dirichlet problem for harmonic functions of Smirnov classes in doubly-connected domains with arbitrary piecewise smooth boundaries. (English) Zbl 1180.35185 Proc. A. Razmadze Math. Inst. 146, 67-78 (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 146, 67--78 (2008; Zbl 1180.35185)
Khuskivadze, G.; Paatashvili, V. Zaremba’s problem in Smirnov class of harmonic functions in domains with piecewise-Lyapunov boundaries. (English) Zbl 1171.35359 Proc. A. Razmadze Math. Inst. 143, 79-94 (2007). MSC: 35J25 31A05 31A25 35C15 31A10 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 143, 79--94 (2007; Zbl 1171.35359) Full Text: Link
Khuskivadze, G.; Paatashvili, V. On the Dirichlet problem for harmonic functions from Smirnov classes in doubly-connected domains. (English) Zbl 1148.31006 Proc. A. Razmadze Math. Inst. 144, 41-60 (2007). Reviewer: Stephen J. Gardiner (Dublin) MSC: 31A25 30D55 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 144, 41--60 (2007; Zbl 1148.31006)
Kokilashvili, V.; Paatashvili, V. The Riemann-Hilbert problem in domains with piecewise-smooth boundaries in classes of Cauchy type integrals with density from \(L^{p(\cdot)}(\Gamma)\). (English) Zbl 1183.30037 Proc. A. Razmadze Math. Inst. 145, No. 2, 103-108 (2007). MSC: 30E20 30E25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 145, No. 2, 103--108 (2007; Zbl 1183.30037)
Kokilashvili, V.; Paatashvili, V. On Hardy classes of analytic functions with a variable exponent. (English) Zbl 1126.47031 Proc. A. Razmadze Math. Inst. 142, 134-137 (2006). Reviewer: Dashan Fan (Milwaukee) MSC: 47B38 42B20 45P05 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 142, 134--137 (2006; Zbl 1126.47031)
Khuskivadze, G.; Paatashvili, V. Zaremba’s problem for harmonic functions from the Smirnov’s weighted classes in domains with piecewise Lyapunov boundaries. (English) Zbl 1147.31001 Proc. A. Razmadze Math. Inst. 142, 129-133 (2006). Reviewer: Victor Anandam (Kerala) MSC: 31A05 35J05 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 142, 129--133 (2006; Zbl 1147.31001)
Paatashvili, V. One necessary condition for the continuity of a singular Cauchy operator in Lebesgue spaces with a variable exponent. (English) Zbl 1134.47022 Proc. A. Razmadze Math. Inst. 138, 115-118 (2005). Reviewer: George O. Okikiolu (London) MSC: 47B38 30E20 PDFBibTeX XMLCite \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 138, 115--118 (2005; Zbl 1134.47022) Full Text: Link
Khuskivadze, G.; Paatashvili, V. On the Dirichlet problem for harmonic functions of Smirnov classes in doubly-connected domains. (English) Zbl 1084.31500 Proc. A. Razmadze Math. Inst. 136, 141-144 (2004). MSC: 31A05 30D55 35J05 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 136, 141--144 (2004; Zbl 1084.31500)
Khuskivadze, G.; Paatashvili, V. On the conformal mapping of simply connected domains with non-Jordan boundaries. (English) Zbl 1081.30012 Proc. A. Razmadze Math. Inst. 136, 85-90 (2004). Reviewer: Maslina Darus (Selangor) MSC: 30C30 30C20 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 136, 85--90 (2004; Zbl 1081.30012)
Khuskivadze, G.; Paatashvili, V. Zaremba’s problem in one class of harmonic functions. (English) Zbl 1057.31001 Proc. A. Razmadze Math. Inst. 132, 143-147 (2003). Reviewer: D. A. Brannan (Milton Keynes) MSC: 31A25 31A05 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 132, 143--147 (2003; Zbl 1057.31001)
Meshveliani, Z.; Paatashvili, V. On the Dirichlet problem in Smirnov classes of harmonic functions. (English) Zbl 1030.30035 Proc. A. Razmadze Math. Inst. 126, 53-57 (2001). Reviewer: Naondo Jin (Otsu) MSC: 30D55 31A05 31A25 PDFBibTeX XMLCite \textit{Z. Meshveliani} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 126, 53--57 (2001; Zbl 1030.30035)
Khuskivadze, G.; Paatashvili, V. On the boundedness of the Cauchy singular operator. (English) Zbl 1019.47037 Proc. A. Razmadze Math. Inst. 124, 107-114 (2000). Reviewer: Roland Duduchava (Saarbrücken) MSC: 47G10 47B38 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 124, 107--114 (2000; Zbl 1019.47037)
Meshveliani, Z.; Paatashvili, V. On Smirnov classes of harmonic functions, and the Dirichlet problem. (English) Zbl 0977.30023 Proc. A. Razmadze Math. Inst. 123, 61-91 (2000). Reviewer: Sergei V.Rogosin (Minsk) MSC: 30E25 30E20 30C35 30D55 31A25 PDFBibTeX XMLCite \textit{Z. Meshveliani} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 123, 61--91 (2000; Zbl 0977.30023)
Meshveliani, Z.; Paatashvili, V. On harmonic functions from Smirnov’s class. (English) Zbl 0957.31002 Proc. A. Razmadze Math. Inst. 121, 159-160 (1999). Reviewer: K.Malyutin (Sumy) MSC: 31A05 30D55 PDFBibTeX XMLCite \textit{Z. Meshveliani} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 121, 159--160 (1999; Zbl 0957.31002)
Khuskivadze, G.; Paatashvili, V. On the conformal mapping of a circle onto a domain with an arbitrary piecewise smooth boundary. (English) Zbl 0937.30007 Proc. A. Razmadze Math. Inst. 116, 123-132 (1998). Reviewer: M.Kracht (Düsseldorf) MSC: 30C20 30C35 PDFBibTeX XMLCite \textit{G. Khuskivadze} and \textit{V. Paatashvili}, Proc. A. Razmadze Math. Inst. 116, 123--132 (1998; Zbl 0937.30007)
Paatashvili, V. A. The homogeneous discontinuous problem of linear conjugation in case of a countably connected domain. (Russian) Zbl 0657.30030 Tr. Tbilis. Mat. Inst. Razmadze 82, 127-141 (1986). Reviewer: S.G.Samko MSC: 30E25 PDFBibTeX XMLCite \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 82, 127--141 (1986; Zbl 0657.30030)
Paatashvili, V. A.; Khuskivadze, G. A. On the singular Cauchy operator on a countable set of concentric circles. (Russian) Zbl 0535.47028 Tr. Tbilis. Mat. Inst. Razmadze 69, 80-92 (1982). Reviewer: D.Przesworska-Rolewicz MSC: 47Gxx 45E05 47B38 PDFBibTeX XMLCite \textit{V. A. Paatashvili} and \textit{G. A. Khuskivadze}, Proc. A. Razmadze Math. Inst. 69, 80--92 (1982; Zbl 0535.47028)
Paatashvili, V. A.; Khuskivadze, G. A. On the boundedness of the singular Cauchy operator in Lebesgue spaces, in the case of non-smooth contours. (Russian) Zbl 0535.47027 Tr. Tbilis. Mat. Inst. Razmadze 69, 93-107 (1982). Reviewer: D.Przeworska-Rolewicz MSC: 47Gxx 47E05 47B38 PDFBibTeX XMLCite \textit{V. A. Paatashvili} and \textit{G. A. Khuskivadze}, Proc. A. Razmadze Math. Inst. 69, 93--107 (1982; Zbl 0535.47027)
Paatashvili, V. A. Über das singuläre Cauchyintegral auf einer abzählbaren Menge geschlossener Konturen. (Russian) Zbl 0461.30034 Tr. Tbilis. Mat. Inst. Razmadze 65, 122-130 (1980). MSC: 30E20 47B35 PDFBibTeX XMLCite \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 65, 122--130 (1980; Zbl 0461.30034)
Paatashvili, V. A. Über die Beschränktheit des Cauchyschen singulären Operators in \(L_ p-\)Räumen. (Russian) Zbl 0451.47073 Tr. Tbilis. Mat. Inst. Razmadze 58, 187-196 (1978). MSC: 47Gxx 45E05 PDFBibTeX XMLCite \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 58, 187--196 (1978; Zbl 0451.47073)
Kokilashvili, V. M.; Paatashvili, V. A. A boundary value problem of linear conjugation with mesurable coefficients. (Russian) Zbl 0435.30035 Tr. Tbilis. Mat. Inst. Razmadze 55, 59-92 (1977). MSC: 30E25 PDFBibTeX XMLCite \textit{V. M. Kokilashvili} and \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 55, 59--92 (1977; Zbl 0435.30035)
Paatashvili, V. A. Some properties of the Cauchy singular integral along open curves. (Russian) Zbl 0435.30034 Tr. Tbilis. Mat. Inst. Razmadze 53, 62-72 (1976). MSC: 30E20 42A50 PDFBibTeX XMLCite \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 53, 62--72 (1976; Zbl 0435.30034)
Paatashvili, V. A. Gewisse Eigenschaften von singulären Integralen und Integralen Cauchyschen Typs. (Russian) Zbl 0353.30025 Tr. Tbilis. Mat. Inst. Razmadze 47 (Sb. Rab. Teor. Funkcii 6), 34-52 (1975). MSC: 30E20 42B25 PDFBibTeX XMLCite \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 47, 34--52 (1975; Zbl 0353.30025)
Paatashvili, V. A. Über die Beschränktheit des singulären Cauchyintegrals in Lebesgueschen Räumen mit Gewicht. (Russian) Zbl 0305.44005 Tr. Tbilis. Mat. Inst. Razmadze 43, 111-119 (1973). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 43, 111--119 (1973; Zbl 0305.44005)
Paatashvili, V. A. Über die Zugehörigkeit zu den Klassen \(E_p\) analytischer Funktionen, die durch ein Integral vom Cauchyschen Typ darstellbar sind. (Russian) Zbl 0311.30037 Tr. Tbilis. Mat. Inst. Razmadze 42, 87-94 (1972). MSC: 30E20 42B25 46E30 PDFBibTeX XMLCite \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 42, 87--94 (1972; Zbl 0311.30037)
Paatashvili, V. A. Über ein lineares Koppelungsproblem im Falle einer abzählbaren Menge geschlossener Konturen. (Russian) Zbl 0215.42302 Tr. Tbilis. Mat. Inst. Razmadze 34, 103-122 (1968). MSC: 30E20 PDFBibTeX XMLCite \textit{V. A. Paatashvili}, Proc. A. Razmadze Math. Inst. 34, 103--122 (1968; Zbl 0215.42302)