Edit Profile (opens in new tab) Meskhi, Alexander Co-Author Distance Author ID: meskhi.alexander Published as: Meskhi, Alexander; Meskhi, A.; Meskhi, A. N. more...less Further Spellings: Meskhi, Aleksandr Nodarovich Homepage: http://www.rmi.ge/~meskhi/ External Links: MGP · ORCID · Google Scholar · ResearchGate · Math-Net.Ru Documents Indexed: 190 Publications since 1996, including 5 Books and 1 Additional arXiv Preprint Reviewing Activity: 32 Reviews Co-Authors: 26 Co-Authors with 158 Joint Publications 973 Co-Co-Authors all top 5 Co-Authors 31 single-authored 119 Kokilashvili, Vakhtang 20 Edmunds, David Eric 15 Rafeiro, Humberto 14 Zaighum, Muhammad Asad 12 Mastyło, Mieczysław 7 Sarwar, Muhammad 5 Asif, Muhammad 5 Imerlishvili, Giorgi 5 Murtaza, Ghulam 4 Ashraf, Usman 3 Paatashvili, Vakhtang 3 Ragusa, Maria Alessandra 3 Samko, Stefan Grigor’evich 3 Tsanava, Tsira 2 Fiorenza, Alberto 2 Gabisonia, Inga 2 Grafakos, Loukas 1 Ephremidze, Lasha 1 Eridani, A. 1 Gilles, Jérôme 1 Gordadze, Eteri 1 Lyall, Neil 1 Makharadze, Dali 1 Persson, Lars-Erik 1 Sawano, Yoshihiro 1 Xue, Qingying all top 5 Serials 29 Proceedings of A. Razmadze Mathematical Institute 20 Transactions of A. Razmadze Mathematical Institute 17 Georgian Mathematical Journal 8 Fractional Calculus & Applied Analysis 6 Journal of Inequalities and Applications 5 Positivity 4 Mathematische Nachrichten 4 Integral Transforms and Special Functions 4 Mathematical Inequalities & Applications 4 Journal of Function Spaces and Applications 4 Mediterranean Journal of Mathematics 4 Complex Variables and Elliptic Equations 3 Studia Mathematica 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Sciences (New York) 3 Bulletin of the Georgian Academy of Sciences 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Results in Mathematics 2 Studia Scientiarum Mathematicarum Hungarica 2 Zeitschrift für Analysis und ihre Anwendungen 2 Doklady Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Mathematical Inequalities 2 Banach Journal of Mathematical Analysis 2 Annals of Functional Analysis 2 Operator Theory: Advances and Applications 2 Mathematics Research Developments 1 Analysis Mathematica 1 Houston Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Methods in the Applied Sciences 1 Canadian Journal of Mathematics 1 Hiroshima Mathematical Journal 1 Journal of the Korean Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 Acta Mathematica Hungarica 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Expositiones Mathematicae 1 Potential Analysis 1 Turkish Journal of Mathematics 1 Memoirs on Differential Equations and Mathematical Physics 1 The Journal of Fourier Analysis and Applications 1 Revista Matemática Complutense 1 Acta Mathematica Sinica. English Series 1 Bulletin of TICMI 1 Lecture Notes of TICMI 1 The Journal of Prime Research in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 Bulletin of the Georgian National Academy of Sciences. New Series 1 Armenian Journal of Mathematics 1 Commentationes Mathematicae 1 Eurasian Mathematical Journal all top 5 Fields 137 Harmonic analysis on Euclidean spaces (42-XX) 99 Functional analysis (46-XX) 84 Operator theory (47-XX) 60 Real functions (26-XX) 17 Abstract harmonic analysis (43-XX) 16 Potential theory (31-XX) 12 Integral equations (45-XX) 5 Partial differential equations (35-XX) 4 Functions of a complex variable (30-XX) 4 Integral transforms, operational calculus (44-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 1,208 times in 544 Documents Cited by ▼ Year ▼ Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces. Zbl 1385.47001 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan 137 2016 Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces. Zbl 1367.47004 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan 126 2016 Bounded and compact integral operators. Zbl 1023.42001 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 94 2002 Boundedness of maximal and singular operators in Morrey spaces with variable exponent. Zbl 1281.42012 Kokilashvili, Vakhtang; Meskhi, Alexander 68 2008 A note on the boundedness of the Hilbert transform in weighted grand Lebesgue spaces. Zbl 1181.42014 Kokilashvili, Vakhtang; Meskhi, Alexander 49 2009 Maximal functions, potentials and singular integrals in grand Morrey spaces. Zbl 1261.42022 Meskhi, Alexander 37 2011 Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure. Zbl 1205.26014 Kokilashvili, Vakhtang; Meskhi, Alexander 31 2010 On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 26 2005 Maximal and Calderón-Zygmund operators in grand variable exponent Lebesgue spaces. Zbl 1304.42049 Kokilashvili, Vakhtang; Meskhi, Alexander 24 2014 Trace inequalities for fractional integrals in grand Lebesgue spaces. Zbl 1275.46016 Kokilashvili, Vakhtang; Meskhi, Alexander 23 2012 Criteria for the boundedness of potential operators in grand Lebesgue spaces. Zbl 1334.42030 Meskhi, A. 23 2015 Weighted norm inequalities for integral transforms with product kernels. Zbl 1257.44002 Kokilashvili, Vakhtang; Meskhi, Alexander; Persson, Lars-Erik 22 2009 Fractional integrals on measure spaces. Zbl 1065.47503 Kokilashvili, Vakhtang; Meskhi, Alexander 21 2001 Weighted extrapolation in grand Morrey spaces and applications to partial differential equations. Zbl 1422.42018 Kokilashvili, Vakhtang; Meskhi, Alexander; Ragusa, Maria Alessandra 21 2019 Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications. Zbl 1291.42008 Meskhi, A. 20 2011 Morrey spaces and fractional integral operators. Zbl 1181.26014 Eridani, A.; Kokilashvili, Vakhtang; Meskhi, Alexander 19 2009 Solution of some weight problems for the Riemann-Liouville and Weyl operators. Zbl 0931.42008 Meskhi, A. 17 1998 Weighted extrapolation in Iwaniec-Sbordone spaces. Applications to integral operators and approximation theory. Zbl 1365.46026 Kokilashvili, V. M.; Meskhi, A. N. 15 2016 Grand Bochner-Lebesgue space and its associate space. Zbl 1308.46052 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 15 2014 Potentials with product kernels in grand Lebesgue spaces: one-weight criteria. Zbl 1347.42029 Kokilashvili, Vakhtang; Meskhi, Alexander 15 2013 Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent. Zbl 1155.42307 Kokilashvili, Vakhtang; Meskhi, Alexander 13 2007 Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces. Zbl 1290.35285 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 12 2014 Riesz type potential operators in generalized grand Morrey spaces. Zbl 1280.46017 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 12 2013 Extrapolation results in grand Lebesgue spaces defined on product sets. Zbl 1408.46030 Kokilashvili, Vakhtang; Meskhi, Alexander 12 2018 Measure of non-compactness for integral operators in weighted Lebesgue spaces. Zbl 1225.45009 Meskhi, Alexander 11 2009 The boundedness of sublinear operators in weighted Morrey spaces defined on spaces of homogeneous type. Zbl 1383.42013 Kokilashvili, Vakhtang; Meskhi, Alexander 11 2017 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 11 2019 On the boundedness of the multilinear fractional integral operators. Zbl 1283.42033 Kokilashvili, Vakhtang; Mastyło, Mieczyslaw; Meskhi, Alexander 11 2014 Density, duality and preduality in grand variable exponent Lebesgue and Morrey spaces. Zbl 1402.46023 Meskhi, Alexander; Sawano, Yoshihiro 11 2018 Interpolation on variable Morrey spaces defined on quasi-metric measure spaces. Zbl 1351.46018 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 10 2016 Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications. Zbl 1292.42009 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 10 2013 Two-weight estimates for strong fractional maximal functions and potentials with multiple kernels. Zbl 1201.42013 Kokilashvili, Vakhtang; Meskhi, Alexander 9 2009 Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space. Zbl 1375.26014 Fiorenza, Alberto; Kokilashvili, Vakhtang; Meskhi, Alexander 9 2017 Central Calderón-Zygmund operators on Herz-type Hardy spaces of variable smoothness and integrability. Zbl 1400.42014 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 9 2018 Two-weight inequalities for fractional maximal functions and singular integrals in \(L^{p(\cdot)}\) spaces. Zbl 1226.47029 Kokilashvili, V.; Meskhi, A. 8 2011 Criteria for the boundedness and compactness of integral transforms with positive kernels. Zbl 1003.47018 Meskhi, A. 8 2001 Two-weight norm estimates for multilinear fractional integrals in classical Lebesgue spaces. Zbl 1326.42020 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 8 2015 Maximal functions and singular integrals in Morrey spaces associated with grand Lebesgue spaces. Zbl 1194.42024 Meskhi, A. 7 2009 Sublinear operators in generalized weighted Morrey spaces. Zbl 06688877 Kokilashvili, V.; Meskhi, A.; Rafeiro, H. 7 2016 Extrapolation in weighted classical and grand Lorentz spaces. Application to the boundedness of integral operators. Zbl 1444.42013 Kokilashvili, Vakhtang; Meskhi, Alexander 7 2020 On a measure of non-compactness for some classical operators. Zbl 1282.42012 Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001 Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander 6 2009 A note on two-weight inequalities for multiple Hardy-type operators. Zbl 1099.47032 Meskhi, Alexander 6 2005 On Fourier multipliers in weighted Triebel-Lizorkin spaces. Zbl 1016.42008 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 6 2002 Maximal and potential operators in variable Morrey spaces defined on nondoubling quasimetric measure spaces. Zbl 1217.42047 Kokilashvili, Vakhtang; Meskhi, Alexander 5 2008 Boundedness of sublinear operators in weighted grand Morrey spaces. Zbl 1432.42011 Kokilashvili, V.; Meskhi, A.; Rafeiro, H. 5 2017 A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2004 On some weighted inequalities for fractional integrals on nonhomogeneous spaces. Zbl 1094.42010 Kokilashvili, V.; Meskhi, A. 5 2006 Two-weight inequalities for singular integrals defined on homogeneous groups. Zbl 0983.43501 Kokilashvili, V.; Meskhi, A. 5 1997 On weighted Bernstein type inequality in grand variable exponent Lebesgue spaces. Zbl 1322.42002 Kokilashvili, Vakhtang; Meskhi, Alexander 5 2015 Fractional integrals with measure in grand Lebesgue and Morrey spaces. Zbl 07446711 Kokilashvili, Vakhtang; Meskhi, Alexander 5 2021 Calderón-Zygmund singular operators in extrapolation spaces. Zbl 1450.42008 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 5 2020 Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces. Zbl 1466.42014 Kokilashvili, Vakhtang; Meskhi, Alexander 5 2021 On the boundedness of multilinear fractional integral operators. Zbl 1444.42028 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 5 2020 Commutators of sublinear operators in grand Morrey spaces. Zbl 1463.47105 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 5 2019 One and two weight estimates for one-sided operators in \(L^{p(\cdot)}\) spaces. Zbl 1211.26006 Kokilashvili, V.; Meskhi, A.; Sarwar, M. 4 2010 Weight characterization of the trace inequality for the generalized Riemann-Liouville transform in \(L^{p(x)}\) spaces. Zbl 1196.46018 Ashraf, Usman; Kokilashvili, Vakhtang; Meskhi, Alexander 4 2010 On the inversion and characterization of the Riesz potentials in the weighted Lebesgue spaces. Zbl 1059.31003 Kokilashvili, V.; Meskhi, A.; Samko, S. 4 2003 Weighted kernel operators in \(L^{p(x)}(\mathbb{R}_+)\) spaces. Zbl 1353.47055 Meskhi, Alexander; Zaighum, Muhammad Asad 4 2016 The measure of noncompactness of multilinear operators. Zbl 07134934 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 4 2019 Embeddings in grand variable exponent function spaces. Zbl 1480.46050 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 4 2021 Two-weight estimates for singular integrals defined on spaces of homogeneous type. Zbl 0959.47018 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 3 2000 Two-weighted inequalities for a discrete Hilbert transform. Zbl 0924.42017 Gabisonija, I.; Meskhi, A. 3 1998 Two-weighted inequalities for integral operators in Lorentz spaces defined on homogeneous groups. Zbl 0926.43004 Kokilashvili, V.; Meskhi, A. 3 1999 Two-weight inequalities for potentials defined on homogeneous groups. Zbl 0980.43500 Meskhi, A. 3 1997 On sharp weighted bounds for one-sided operators norms. Zbl 1297.42031 Kokilashvili, V.; Meskhi, A.; Zaighum, M. A. 3 2014 On a measure of non-compactness for maximal operators. Zbl 1029.42009 Edmunds, D. E.; Meskhi, A. 3 2003 Extrapolation in grand Lebesgue spaces with \(A_\infty\) weights. Zbl 1414.42015 Kokilashvili, V.; Meskhi, A. 3 2018 On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces. Zbl 1427.42020 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 3 2019 Sharp weighted bounds for multiple integral operators. Zbl 1350.42029 Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad 3 2016 Compactness criteria for fractional integral operators. Zbl 1466.26007 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 3 2019 Weighted kernel operators in variable exponent amalgam spaces. Zbl 1320.47028 Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad 3 2013 Integral operator in grand variable Lebesgue spaces. Zbl 1290.42046 Kokilashvili, V.; Meskhi, A. 3 2013 Two-weight estimates in \(L^{p(x)}\) spaces for classical integral operators and applications to the norm summability of Fourier trigonometric series. Zbl 1176.42016 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 2 2006 Weighted criteria for one-sided potentials with product kernels on cones of decreasing functions. Zbl 1222.26012 Meskhi, Alexander; Murtaza, Ghulam; Sarwar, Muhammad 2 2011 Two-weighted norm inequalities for the double Hardy transforms and strong fractional maximal functions in variable exponent Lebesgue space. Zbl 1254.42027 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2012 Potential operators in variable exponent Lebesgue spaces: two-weight estimates. Zbl 1209.47025 Kokilashvili, Vakhtang; Meskhi, Alexander; Sarwar, Muhammad 2 2010 On the trace inequality for one-sided potentials with multiple kernels. Zbl 1093.47027 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2003 Boundedness and compactness of Hardy-type operators in Banach function spaces. Zbl 1002.42014 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 2 1998 Asymptotic behavior of singular and entropy numbers for some Riemann-Liouville type operators. Zbl 1060.47502 Meskhi, A. 2 2001 Boundedness criteria for maximal functions and potentials on the half-space in weighted Lebesgue spaces with variable exponents. Zbl 1184.42014 Asif, Muhammad; Kokilashvili, Vakhtang; Meskhi, Alexander 2 2009 On the boundedness and compactness of ball fractional integral operators. Zbl 1030.42015 Meskhi, Alexander 2 2000 On a measure of non-compactness for singular integrals. Zbl 1055.42009 Meskhi, Alexander 2 2003 The multisublinear maximal type operators in Banach function lattices. Zbl 1296.42011 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 2 2015 One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces. Zbl 1307.42013 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2014 Complex interpolation on variable exponent Campanato spaces of order \(k\). Zbl 1373.46013 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 2 2017 Sharp weighted bounds for one-sided operators. Zbl 1364.42018 Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad 2 2017 Multilinear integral operators in weighted grand Lebesgue spaces. Zbl 1343.42018 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 2 2016 Criteria for the boundedness and compactness of operators with power-logarithmic kernels. Zbl 1003.47012 Kokilashvili, V.; Meskhi, A. 2 2001 Two-weighted Hardy operators in \(L^{p(\cdot)}\) spaces and applications. Zbl 1521.47080 Edmunds, David E.; Meskhi, Alexander 2 2019 Multilinear Fefferman-Stein inequality and its generalizations. Zbl 1456.42021 Imerlishvili, Giorgi; Meskhi, Alexander; Xue, Qingying 2 2020 On some extrapolation in generalized grand Morrey spaces and applications to partial differential equations. Zbl 1522.42052 Gordadze, Eteri; Meskhi, Alexander; Ragusa, Maria Alessandra 2 2022 On the boundedness of maximal and potential operators in variable exponent amalgam spaces. Zbl 1290.42047 Meskhi, Alexander; Zaighum, Muhammad Asad 2 2014 Trace inequalities for fractional integrals in mixed norm grand Lebesgue spaces. Zbl 1488.46061 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2020 Weighted Sobolev inequality in grand mixed norm Lebesgue spaces. Zbl 1462.31008 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2021 On the Rellich inequality in \(L^{p(\cdot)}(a,b)\). Zbl 1391.26041 Edmunds, David; Meskhi, Alexander 2 2018 Weight inequalities for singular integrals defined on spaces of homogeneous and nonhomogeneous type. Zbl 1002.42009 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 1 2001 On the singular numbers for some integral operators. Zbl 0999.47033 Meskhi, A. 1 2001 On one-sided potentials with multiple kernels. Zbl 1097.47035 Kokilashvili, Vakhtang; Meskhi, Alexander 1 2005 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 Rubio de Francía’s weighted extrapolation in mixed-norm spaces and applications. Zbl 07750697 Kokilashvili, Vakhtang; Meskhi, Alexander 1 2023 Weighted inequalities for one-sided multilinear fractional integrals. Zbl 1518.26007 Imerlishvili, Giorgi; Meskhi, Alexander 1 2023 Boundedness of operators of harmonic analysis in grand variable exponent Morrey spaces. Zbl 1508.42029 Kokilashvili, Vakhtang; Meskhi, Alexander 1 2023 On some extrapolation in generalized grand Morrey spaces and applications to partial differential equations. Zbl 1522.42052 Gordadze, Eteri; Meskhi, Alexander; Ragusa, Maria Alessandra 2 2022 Weighted extrapolation in grand Morrey spaces beyond the Muckenhoupt range. Zbl 1502.42012 Meskhi, Alexander 1 2022 Fractional integrals with measure in grand Lebesgue and Morrey spaces. Zbl 07446711 Kokilashvili, Vakhtang; Meskhi, Alexander 5 2021 Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces. Zbl 1466.42014 Kokilashvili, Vakhtang; Meskhi, Alexander 5 2021 Embeddings in grand variable exponent function spaces. Zbl 1480.46050 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 4 2021 Weighted Sobolev inequality in grand mixed norm Lebesgue spaces. Zbl 1462.31008 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2021 Boundedness of integral operators in generalized weighted grand Lebesgue spaces with non-doubling measures. Zbl 1457.42028 Kokilashvili, Vakhtang; Meskhi, Alexander 1 2021 On the boundedness of integral operators in weighted grand Morrey spaces. Zbl 1462.42023 Kokilashvili, V. M.; Meskhi, A. N. 1 2021 On integral operators in weighted grand Lebesgue spaces of Banach-valued functions. Zbl 1472.42021 Kokilashvili, Vakhtang; Meskhi, Alexander 1 2021 Singular integral operators in some variable exponent Lebesgue spaces. Zbl 1478.26004 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 1 2021 Extrapolation in weighted classical and grand Lorentz spaces. Application to the boundedness of integral operators. Zbl 1444.42013 Kokilashvili, Vakhtang; Meskhi, Alexander 7 2020 Calderón-Zygmund singular operators in extrapolation spaces. Zbl 1450.42008 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 5 2020 On the boundedness of multilinear fractional integral operators. Zbl 1444.42028 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 5 2020 Multilinear Fefferman-Stein inequality and its generalizations. Zbl 1456.42021 Imerlishvili, Giorgi; Meskhi, Alexander; Xue, Qingying 2 2020 Trace inequalities for fractional integrals in mixed norm grand Lebesgue spaces. Zbl 1488.46061 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2020 Weighted extrapolation in grand Morrey spaces and applications to partial differential equations. Zbl 1422.42018 Kokilashvili, Vakhtang; Meskhi, Alexander; Ragusa, Maria Alessandra 21 2019 Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. Zbl 1479.46033 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 11 2019 Commutators of sublinear operators in grand Morrey spaces. Zbl 1463.47105 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 5 2019 The measure of noncompactness of multilinear operators. Zbl 07134934 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 4 2019 On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces. Zbl 1427.42020 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 3 2019 Compactness criteria for fractional integral operators. Zbl 1466.26007 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 3 2019 Two-weighted Hardy operators in \(L^{p(\cdot)}\) spaces and applications. Zbl 1521.47080 Edmunds, David E.; Meskhi, Alexander 2 2019 Maximal and Calderón-Zygmund operators in weighted grand variable exponent Lebesgue spaces. Zbl 1516.42012 Kokilashvili, V.; Meskhi, A. 1 2019 Extrapolation results in grand Lebesgue spaces defined on product sets. Zbl 1408.46030 Kokilashvili, Vakhtang; Meskhi, Alexander 12 2018 Density, duality and preduality in grand variable exponent Lebesgue and Morrey spaces. Zbl 1402.46023 Meskhi, Alexander; Sawano, Yoshihiro 11 2018 Central Calderón-Zygmund operators on Herz-type Hardy spaces of variable smoothness and integrability. Zbl 1400.42014 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 9 2018 Extrapolation in grand Lebesgue spaces with \(A_\infty\) weights. Zbl 1414.42015 Kokilashvili, V.; Meskhi, A. 3 2018 On the Rellich inequality in \(L^{p(\cdot)}(a,b)\). Zbl 1391.26041 Edmunds, David; Meskhi, Alexander 2 2018 Interpolation of an analytic family of operators on variable exponent Morrey spaces. Zbl 1414.46019 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 1 2018 The boundedness of sublinear operators in weighted Morrey spaces defined on spaces of homogeneous type. Zbl 1383.42013 Kokilashvili, Vakhtang; Meskhi, Alexander 11 2017 Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space. Zbl 1375.26014 Fiorenza, Alberto; Kokilashvili, Vakhtang; Meskhi, Alexander 9 2017 Boundedness of sublinear operators in weighted grand Morrey spaces. Zbl 1432.42011 Kokilashvili, V.; Meskhi, A.; Rafeiro, H. 5 2017 Complex interpolation on variable exponent Campanato spaces of order \(k\). Zbl 1373.46013 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 2 2017 Sharp weighted bounds for one-sided operators. Zbl 1364.42018 Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad 2 2017 Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces. Zbl 1385.47001 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan 137 2016 Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces. Zbl 1367.47004 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan 126 2016 Weighted extrapolation in Iwaniec-Sbordone spaces. Applications to integral operators and approximation theory. Zbl 1365.46026 Kokilashvili, V. M.; Meskhi, A. N. 15 2016 Interpolation on variable Morrey spaces defined on quasi-metric measure spaces. Zbl 1351.46018 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 10 2016 Sublinear operators in generalized weighted Morrey spaces. Zbl 06688877 Kokilashvili, V.; Meskhi, A.; Rafeiro, H. 7 2016 Weighted kernel operators in \(L^{p(x)}(\mathbb{R}_+)\) spaces. Zbl 1353.47055 Meskhi, Alexander; Zaighum, Muhammad Asad 4 2016 Sharp weighted bounds for multiple integral operators. Zbl 1350.42029 Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad 3 2016 Multilinear integral operators in weighted grand Lebesgue spaces. Zbl 1343.42018 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 2 2016 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 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 Criteria for the boundedness of potential operators in grand Lebesgue spaces. Zbl 1334.42030 Meskhi, A. 23 2015 Two-weight norm estimates for multilinear fractional integrals in classical Lebesgue spaces. Zbl 1326.42020 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 8 2015 On weighted Bernstein type inequality in grand variable exponent Lebesgue spaces. Zbl 1322.42002 Kokilashvili, Vakhtang; Meskhi, Alexander 5 2015 The multisublinear maximal type operators in Banach function lattices. Zbl 1296.42011 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 2 2015 Multilinear maximal functions and singular integrals in weighted grand Lebesque spaces. Zbl 1333.42038 Kokilashvili, V.; Mastyło, M.; Meskhi, A. 1 2015 Fractional integral operators between Banach function lattices. Zbl 1366.42015 Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander 1 2015 Maximal and Calderón-Zygmund operators in grand variable exponent Lebesgue spaces. Zbl 1304.42049 Kokilashvili, Vakhtang; Meskhi, Alexander 24 2014 Grand Bochner-Lebesgue space and its associate space. Zbl 1308.46052 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 15 2014 Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces. Zbl 1290.35285 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 12 2014 On the boundedness of the multilinear fractional integral operators. Zbl 1283.42033 Kokilashvili, Vakhtang; Mastyło, Mieczyslaw; Meskhi, Alexander 11 2014 On sharp weighted bounds for one-sided operators norms. Zbl 1297.42031 Kokilashvili, V.; Meskhi, A.; Zaighum, M. A. 3 2014 One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces. Zbl 1307.42013 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2014 On the boundedness of maximal and potential operators in variable exponent amalgam spaces. Zbl 1290.42047 Meskhi, Alexander; Zaighum, Muhammad Asad 2 2014 Some fundamental inequalities for trigonometric polynomials and imbeddings of grand Besov spaces. Zbl 1327.46031 Kokilashvili, V.; Meskhi, A. 1 2014 Potentials with product kernels in grand Lebesgue spaces: one-weight criteria. Zbl 1347.42029 Kokilashvili, Vakhtang; Meskhi, Alexander 15 2013 Riesz type potential operators in generalized grand Morrey spaces. Zbl 1280.46017 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 12 2013 Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications. Zbl 1292.42009 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 10 2013 Weighted kernel operators in variable exponent amalgam spaces. Zbl 1320.47028 Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad 3 2013 Integral operator in grand variable Lebesgue spaces. Zbl 1290.42046 Kokilashvili, V.; Meskhi, A. 3 2013 Two-weight norm estimates for maximal and Calderón-Zygmund operators in variable exponent Lebesgue spaces. Zbl 1286.42019 Kokilashvili, Vakhtang; Meskhi, Alexander; Sarwar, Muhammad 1 2013 Positive kernel operators in \(L^{p(x)}\) spaces. Zbl 1318.47041 Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad 1 2013 Trace inequalities for fractional integrals in grand Lebesgue spaces. Zbl 1275.46016 Kokilashvili, Vakhtang; Meskhi, Alexander 23 2012 Two-weighted norm inequalities for the double Hardy transforms and strong fractional maximal functions in variable exponent Lebesgue space. Zbl 1254.42027 Kokilashvili, Vakhtang; Meskhi, Alexander 2 2012 Potentials with product kernels in grand Lebesgue spaces. Zbl 1276.42017 Kokilashvili, V.; Meskhi, A. 1 2012 Maximal functions, potentials and singular integrals in grand Morrey spaces. Zbl 1261.42022 Meskhi, Alexander 37 2011 Weighted criteria for the Hardy transform under the \(B_p\) condition in grand Lebesgue spaces and some applications. Zbl 1291.42008 Meskhi, A. 20 2011 Two-weight inequalities for fractional maximal functions and singular integrals in \(L^{p(\cdot)}\) spaces. Zbl 1226.47029 Kokilashvili, V.; Meskhi, A. 8 2011 Weighted criteria for one-sided potentials with product kernels on cones of decreasing functions. Zbl 1222.26012 Meskhi, Alexander; Murtaza, Ghulam; Sarwar, Muhammad 2 2011 Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure. Zbl 1205.26014 Kokilashvili, Vakhtang; Meskhi, Alexander 31 2010 One and two weight estimates for one-sided operators in \(L^{p(\cdot)}\) spaces. Zbl 1211.26006 Kokilashvili, V.; Meskhi, A.; Sarwar, M. 4 2010 Weight characterization of the trace inequality for the generalized Riemann-Liouville transform in \(L^{p(x)}\) spaces. Zbl 1196.46018 Ashraf, Usman; Kokilashvili, Vakhtang; Meskhi, Alexander 4 2010 Potential operators in variable exponent Lebesgue spaces: two-weight estimates. Zbl 1209.47025 Kokilashvili, Vakhtang; Meskhi, Alexander; Sarwar, Muhammad 2 2010 Two-weight criteria for potentials with product kernels on cones of decreasing functions. Zbl 1194.42027 Meskhi, A.; Murtaza, G.; Sarwar, M. 1 2010 A note on the boundedness of the Hilbert transform in weighted grand Lebesgue spaces. Zbl 1181.42014 Kokilashvili, Vakhtang; Meskhi, Alexander 49 2009 Weighted norm inequalities for integral transforms with product kernels. Zbl 1257.44002 Kokilashvili, Vakhtang; Meskhi, Alexander; Persson, Lars-Erik 22 2009 Morrey spaces and fractional integral operators. Zbl 1181.26014 Eridani, A.; Kokilashvili, Vakhtang; Meskhi, Alexander 19 2009 Measure of non-compactness for integral operators in weighted Lebesgue spaces. Zbl 1225.45009 Meskhi, Alexander 11 2009 Two-weight estimates for strong fractional maximal functions and potentials with multiple kernels. Zbl 1201.42013 Kokilashvili, Vakhtang; Meskhi, Alexander 9 2009 Maximal functions and singular integrals in Morrey spaces associated with grand Lebesgue spaces. Zbl 1194.42024 Meskhi, A. 7 2009 Two-weight estimates in \(L^{p(x)}\) spaces with applications to Fourier series. Zbl 1172.42001 Edmunds, David; Kokilashvili, Vakhtang; Meskhi, Alexander 6 2009 Boundedness criteria for maximal functions and potentials on the half-space in weighted Lebesgue spaces with variable exponents. Zbl 1184.42014 Asif, Muhammad; Kokilashvili, Vakhtang; Meskhi, Alexander 2 2009 Boundedness of maximal and singular operators in Morrey spaces with variable exponent. Zbl 1281.42012 Kokilashvili, Vakhtang; Meskhi, Alexander 68 2008 Maximal and potential operators in variable Morrey spaces defined on nondoubling quasimetric measure spaces. Zbl 1217.42047 Kokilashvili, Vakhtang; Meskhi, Alexander 5 2008 On the maximal and Fourier operators in weighted Lebesgue spaces with variable exponent. Zbl 1149.42308 Kokilashvili, V.; Meskhi, A. 1 2008 One-sided operators in \(L^{p (x)}\) spaces. Zbl 1214.42027 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 1 2008 Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent. Zbl 1155.42307 Kokilashvili, Vakhtang; Meskhi, Alexander 13 2007 On a measure of non-compactness for some classical operators. Zbl 1282.42012 Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander 6 2006 On some weighted inequalities for fractional integrals on nonhomogeneous spaces. Zbl 1094.42010 Kokilashvili, V.; Meskhi, A. 5 2006 Two-weight estimates in \(L^{p(x)}\) spaces for classical integral operators and applications to the norm summability of Fourier trigonometric series. Zbl 1176.42016 Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. 2 2006 On the boundedness and compactness of weighted Hardy operators in spaces \(L^{p(x)}\). Zbl 1099.47030 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 26 2005 A note on two-weight inequalities for multiple Hardy-type operators. Zbl 1099.47032 Meskhi, Alexander 6 2005 On one-sided potentials with multiple kernels. Zbl 1097.47035 Kokilashvili, Vakhtang; Meskhi, Alexander 1 2005 A trace inequality for generalized potentials in Lebesgue spaces with variable exponent. Zbl 1060.31005 Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander 5 2004 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 445 Authors 81 Meskhi, Alexander 66 Kokilashvili, Vakhtang 46 Samko, Stefan Grigor’evich 42 Rafeiro, Humberto 20 Ho, Kwok-Pun 17 Guliyev, Vagif Sabir 17 Umarkhadzhiev, Salaudin Musaevich 16 Sawano, Yoshihiro 14 Zeren, Yusuf 13 Fiorenza, Alberto 12 Bandaliev, Rovshan Alifaga ogly 12 Shimomura, Tetsu 12 Zaighum, Muhammad Asad 11 Persson, Lars-Erik 10 Edmunds, David Eric 10 Jain, Pankaj 10 Samko, Natasha 10 Singh, Monika 9 Bilalov, Bilal T. 9 Karapetyants, Alekseĭ Nikolaevich 9 Mamedov, Farman Imran 9 Mastyło, Mieczysław 8 Cruz-Uribe, David Vincente 8 Karlovych, Oleksiy 8 Lu, Guanghui 8 Sadigova, Sabina Rahib 8 Singh, Arun Pal 7 Hasanov, Javanshir J. 7 Najafov, Alik Malik oglu 7 Ohno, Takao 7 Tsanava, Tsira 6 Anatriello, Giuseppina 6 Aykol, Canay 6 Stepanov, Vladimir Dmitrievich 6 Tanaka, Hitoshi 6 Tao, Shuangping 5 Aydin, Ismail 5 Formica, Maria Rosaria 5 Hakim, Denny Ivanal 5 Hao, Zhiwei 5 Imerlishvili, Giorgi 5 Jafarov, Sadulla Z. 5 Li, Libo 5 Restrepo, Joel Esteban 4 Almeida, Alexandre 4 Berghout, Mohamed 4 Cetin, Seyma 4 Cherif, Bahri Belkacem 4 Guefaifia, Rafik 4 Ismailov, Migdad I. 4 Li, Hongliang 4 Lukkassen, Dag 4 Mizuta, Yoshihiro 4 Ragusa, Maria Alessandra 4 Surnachëv, Mikhaĭl Dmitrievich 4 Ushakova, Elena Pavlovna 4 Wei, Mingquan 4 Weisz, Ferenc 4 Xu, Jingshi 3 Abdalla, Mohamed 3 Abylaeva, Akbota Muhamediyarovna 3 Aliev, Rashid Avazaga 3 Asif, Muhammad 3 Baalal, Azeddine 3 Badalov, Xayyam A. 3 Balci, Anna Kh. 3 Boulaaras, Salah Mahmoud 3 Burtseva, Evgeniya 3 Diening, Lars 3 Eridani, Eridani 3 Eroglu, Ahmet 3 Fatmawati, Fatmawati 3 Guzmán, Oscar Mauricio 3 Harman, Aziz 3 Heikkinen, Toni 3 Ismailov, Miqdad I. 3 Makharadze, Dali 3 Mehmood, Saba 3 Murtaza, Ghulam 3 Nafis, Hammad 3 Oĭnarov, Ryskul Oĭnarovich 3 Paatashvili, Vakhtang 3 Sarwar, Muhammad 3 Shargorodsky, Eugene 3 Sin, Cholmin 3 Sun, Qinxiu 3 Tuominen, Heli 3 Ünal, Cihan 3 Wang, Liwei 3 Wu, Qingyan 3 Yang, Dachun 3 Yu, Xiao 2 Ablet, Ehmet 2 Akin, Lutfi 2 Aliyeva, Dunya R. 2 Amrahova, Aynur F. 2 Armutcu, Hatice 2 Asim, Muhammad Ahsan 2 Babayev, Rovshan F. 2 Bakas, Odysseas ...and 345 more Authors all top 5 Cited in 153 Serials 36 Transactions of A. Razmadze Mathematical Institute 19 Journal of Mathematical Analysis and Applications 19 Mediterranean Journal of Mathematics 18 Georgian Mathematical Journal 18 Fractional Calculus & Applied Analysis 17 Journal of Mathematical Sciences (New York) 16 Journal of Inequalities and Applications 14 Mathematische Nachrichten 13 Journal of Function Spaces 10 Mathematical Notes 10 Nonlinear Analysis. Theory, Methods & Applications. 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National Academy of Sciences of Azerbaijan 3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Hacettepe Journal of Mathematics and Statistics 3 Journal of Fixed Point Theory and Applications 3 Complex Analysis and Operator Theory 3 Eurasian Mathematical Journal 3 Journal of Elliptic and Parabolic Equations 2 Analysis Mathematica 2 Applicable Analysis 2 Indian Journal of Pure & Applied Mathematics 2 Lithuanian Mathematical Journal 2 Linear and Multilinear Algebra 2 Rocky Mountain Journal of Mathematics 2 Quaestiones Mathematicae 2 Revista de la Unión Matemática Argentina 2 Tokyo Journal of Mathematics 2 Acta Applicandae Mathematicae 2 Constructive Approximation 2 Publicacions Matemàtiques 2 Forum Mathematicum 2 International Journal of Mathematics 2 Russian Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Filomat 2 Bulletin des Sciences Mathématiques 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. 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Commentarii Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations ...and 53 more Serials all top 5 Cited in 29 Fields 323 Functional analysis (46-XX) 309 Harmonic analysis on Euclidean spaces (42-XX) 149 Operator theory (47-XX) 136 Real functions (26-XX) 46 Partial differential equations (35-XX) 30 Functions of a complex variable (30-XX) 23 Integral equations (45-XX) 22 Abstract harmonic analysis (43-XX) 20 Approximations and expansions (41-XX) 15 Potential theory (31-XX) 12 Probability theory and stochastic processes (60-XX) 7 Ordinary differential equations (34-XX) 7 Integral transforms, operational calculus (44-XX) 5 Difference and functional equations (39-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Topological groups, Lie groups (22-XX) 3 Sequences, series, summability (40-XX) 3 Numerical analysis (65-XX) 3 Fluid mechanics (76-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year