Meskhi, Alexander Two-weight criteria for multiple fractional integrals in mixed-normed Lebesgue spaces. (English) Zbl 07819463 Trans. A. Razmadze Math. Inst. 177, No. 3, 505-507 (2023). MSC: 26A33 42B35 47B38 PDFBibTeX XMLCite \textit{A. Meskhi}, Trans. A. Razmadze Math. Inst. 177, No. 3, 505--507 (2023; Zbl 07819463) Full Text: Link
Imerlishvili, Giorgi; Meskhi, Alexander; Ragusa, Maria Alessandra One-sided potentials in weighted central Morrey spaces. (English) Zbl 07819461 Trans. A. Razmadze Math. Inst. 177, No. 3, 495-499 (2023). MSC: 26A33 42B35 47B38 PDFBibTeX XMLCite \textit{G. Imerlishvili} et al., Trans. A. Razmadze Math. Inst. 177, No. 3, 495--499 (2023; Zbl 07819461) Full Text: Link
Grafakos, Loukas; Meskhi, Alexander On sharp Olsen’s and trace inequalities for multilinear fractional integrals. (English) Zbl 07749901 Potential Anal. 59, No. 3, 1039-1050 (2023). MSC: 26A33 45P05 46E30 PDFBibTeX XMLCite \textit{L. Grafakos} and \textit{A. Meskhi}, Potential Anal. 59, No. 3, 1039--1050 (2023; Zbl 07749901) Full Text: DOI
Edmunds, David E.; Makharadze, Dali; Meskhi, Alexander Embeddings and regularity of potentials in grand variable exponent function spaces. (English) Zbl 07741266 Trans. A. Razmadze Math. Inst. 177, No. 2, 309-314 (2023). MSC: 42B35 42B20 26A33 42B25 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., Trans. A. Razmadze Math. Inst. 177, No. 2, 309--314 (2023; Zbl 07741266) Full Text: Link
Meskhi, Alexander; Rafeiro, Humberto; Tsanava, Tsira Duality and interpolation for weighted grand Morrey spaces. (English) Zbl 07739506 Trans. A. Razmadze Math. Inst. 177, No. 1, 149-155 (2023). MSC: 42B20 26A33 46E30 PDFBibTeX XMLCite \textit{A. Meskhi} et al., Trans. A. Razmadze Math. Inst. 177, No. 1, 149--155 (2023; Zbl 07739506) Full Text: Link
Kokilashvili, Vakhtang; Meskhi, Alexander A complete characterization of the generalized multilinear Sobolev inequality in grand product Lebesgue spaces defined on non-homogeneous spaces. (English) Zbl 07720513 Result. Math. 78, No. 5, Paper No. 181, 17 p. (2023). MSC: 42B35 47B38 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Result. Math. 78, No. 5, Paper No. 181, 17 p. (2023; Zbl 07720513) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Boundedness of operators of harmonic analysis in grand variable exponent Morrey spaces. (English) Zbl 1508.42029 Mediterr. J. Math. 20, No. 2, Paper No. 71, 25 p. (2023). Reviewer: Ferit Gürbüz (Hakkari) MSC: 42B35 26A33 42B20 42B25 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Mediterr. J. Math. 20, No. 2, Paper No. 71, 25 p. (2023; Zbl 1508.42029) Full Text: DOI
Imerlishvili, Giorgi; Meskhi, Alexander Weighted inequalities for one-sided multilinear fractional integrals. (English) Zbl 1518.26007 Positivity 27, No. 1, Paper No. 1, 21 p. (2023). MSC: 26A33 26D10 42B25 47B34 47B90 PDFBibTeX XMLCite \textit{G. Imerlishvili} and \textit{A. Meskhi}, Positivity 27, No. 1, Paper No. 1, 21 p. (2023; Zbl 1518.26007) Full Text: DOI
Kokilashvili, V.; Meskhi, A. Compactness of fractional type integral operators on spaces of homogeneous type. (English. Russian original) Zbl 1520.47055 J. Math. Sci., New York 268, No. 3, 368-375 (2022); translation from Probl. Mat. Anal. 118, 109-115 (2022). MSC: 47B32 26A33 47B07 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, J. Math. Sci., New York 268, No. 3, 368--375 (2022; Zbl 1520.47055); translation from Probl. Mat. Anal. 118, 109--115 (2022) Full Text: DOI
Kokilashvili, V.; Meskhi, A. Operators of harmonic analysis in grand variable exponent Morrey spaces. (English) Zbl 1496.42033 Trans. A. Razmadze Math. Inst. 176, No. 1, 147-152 (2022). MSC: 42B35 42B20 26A33 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Trans. A. Razmadze Math. Inst. 176, No. 1, 147--152 (2022; Zbl 1496.42033) Full Text: Link
Grafakos, Loukas; Meskhi, Alexander Sharp Olsen’s inequality for multilinear Riesz potentials. (English) Zbl 1494.46024 Trans. A. Razmadze Math. Inst. 175, No. 3, 433-436 (2021). MSC: 46E30 26A33 45P05 47H60 47G40 PDFBibTeX XMLCite \textit{L. Grafakos} and \textit{A. Meskhi}, Trans. A. Razmadze Math. Inst. 175, No. 3, 433--436 (2021; Zbl 1494.46024) Full Text: Link
Kokilashvili, Vakhtang; Meskhi, Alexander Fractional integrals with measure in grand Lebesgue and Morrey spaces. (English) Zbl 07446711 Integral Transforms Spec. Funct. 32, No. 9, 695-709 (2021). MSC: 45P05 26A33 28A25 26A42 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Integral Transforms Spec. Funct. 32, No. 9, 695--709 (2021; Zbl 07446711) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander On integral operators in weighted grand Lebesgue spaces of Banach-valued functions. (English) Zbl 1472.42021 Math. Methods Appl. Sci. 44, No. 12, 9765-9781 (2021). MSC: 42B20 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Math. Methods Appl. Sci. 44, No. 12, 9765--9781 (2021; Zbl 1472.42021) Full Text: DOI
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander Singular integral operators in some variable exponent Lebesgue spaces. (English) Zbl 1478.26004 Georgian Math. J. 28, No. 3, 375-381 (2021). Reviewer: Humberto Rafeiro (Al Ain) MSC: 26A33 42B20 45P05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Georgian Math. J. 28, No. 3, 375--381 (2021; Zbl 1478.26004) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Weighted Sobolev inequality in grand mixed norm Lebesgue spaces. (English) Zbl 1462.31008 Positivity 25, No. 1, 273-288 (2021). MSC: 31B10 46E35 47G10 47G40 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Positivity 25, No. 1, 273--288 (2021; Zbl 1462.31008) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Boundedness of integral operators in generalized weighted grand Lebesgue spaces with non-doubling measures. (English) Zbl 1457.42028 Mediterr. J. Math. 18, No. 2, Paper No. 50, 16 p. (2021). MSC: 42B20 42B25 26A33 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Mediterr. J. Math. 18, No. 2, Paper No. 50, 16 p. (2021; Zbl 1457.42028) Full Text: DOI
Imerlishvili, Giorgi; Meskhi, Alexander Weighted norm estimates for one-sided multilinear integral operators. (English) Zbl 07429511 Trans. A. Razmadze Math. Inst. 174, No. 3, 399-403 (2020). MSC: 47B38 26A33 42B35 46B70 PDFBibTeX XMLCite \textit{G. Imerlishvili} and \textit{A. Meskhi}, Trans. A. Razmadze Math. Inst. 174, No. 3, 399--403 (2020; Zbl 07429511) Full Text: Link
Kokilashvili, Vakhtang; Meskhi, Alexander Trace inequalities for fractional integrals in mixed norm grand Lebesgue spaces. (English) Zbl 1488.46061 Fract. Calc. Appl. Anal. 23, No. 5, 1452-1471 (2020). MSC: 46E30 26A33 45P05 42B25 47G10 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Fract. Calc. Appl. Anal. 23, No. 5, 1452--1471 (2020; Zbl 1488.46061) Full Text: DOI
Imerlishvili, Giorgi; Meskhi, Alexander; Xue, Qingying Multilinear Fefferman-Stein inequality and its generalizations. (English) Zbl 1456.42021 Trans. A. Razmadze Math. Inst. 174, No. 1, 83-92 (2020). MSC: 42B25 26A33 PDFBibTeX XMLCite \textit{G. Imerlishvili} et al., Trans. A. Razmadze Math. Inst. 174, No. 1, 83--92 (2020; Zbl 1456.42021) Full Text: Link
Kokilashvili, Vakhtang; Meskhi, Alexander Extrapolation in weighted classical and grand Lorentz spaces. Application to the boundedness of integral operators. (English) Zbl 1444.42013 Banach J. Math. Anal. 14, No. 3, 1111-1142 (2020). MSC: 42B20 42B25 42B35 42B30 47B38 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Banach J. Math. Anal. 14, No. 3, 1111--1142 (2020; Zbl 1444.42013) Full Text: DOI arXiv
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander On the boundedness of multilinear fractional integral operators. (English) Zbl 1444.42028 J. Geom. Anal. 30, No. 1, 667-679 (2020). Reviewer: Enji Sato (Yamagata) MSC: 42B35 46B70 47B38 26A33 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., J. Geom. Anal. 30, No. 1, 667--679 (2020; Zbl 1444.42028) Full Text: DOI
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander Compactness criteria for fractional integral operators. (English) Zbl 1466.26007 Fract. Calc. Appl. Anal. 22, No. 5, 1269-1283 (2019). MSC: 26A33 26D10 47B38 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Fract. Calc. Appl. Anal. 22, No. 5, 1269--1283 (2019; Zbl 1466.26007) Full Text: DOI
Meskhi, Alexander Essential norm estimates for multilinear singular and fractional integrals. (English) Zbl 1439.42023 Commentat. Math. 59, No. 1-2, 81-93 (2019). MSC: 42B20 42B35 46E30 46B70 PDFBibTeX XMLCite \textit{A. Meskhi}, Commentat. Math. 59, No. 1--2, 81--93 (2019; Zbl 1439.42023) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto Commutators of sublinear operators in grand Morrey spaces. (English) Zbl 1463.47105 Stud. Sci. Math. Hung. 56, No. 2, 211-232 (2019). MSC: 47B38 26A33 42B20 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Stud. Sci. Math. Hung. 56, No. 2, 211--232 (2019; Zbl 1463.47105) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Ragusa, Maria Alessandra Weighted extrapolation in grand Morrey spaces and applications to partial differential equations. (English) Zbl 1422.42018 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 1, 67-92 (2019). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 42B20 42B25 42B35 47B38 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 30, No. 1, 67--92 (2019; Zbl 1422.42018) Full Text: DOI
Kokilashvili, V.; Meskhi, A. Extrapolation in grand Lebesgue spaces with \(A_\infty\) weights. (English. Russian original) Zbl 1414.42015 Math. Notes 104, No. 4, 518-529 (2018); translation from Mat. Zametki 104, No. 4, 539-551 (2018). Reviewer: Bohumír Opic (Praha) MSC: 42B20 46E30 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Math. Notes 104, No. 4, 518--529 (2018; Zbl 1414.42015); translation from Mat. Zametki 104, No. 4, 539--551 (2018) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Extrapolation results in grand Lebesgue spaces defined on product sets. (English) Zbl 1408.46030 Positivity 22, No. 4, 1143-1163 (2018). MSC: 46E30 42B20 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Positivity 22, No. 4, 1143--1163 (2018; Zbl 1408.46030) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad Sharp weighted bounds for fractional integrals via the two-weight theory. (English) Zbl 1402.42018 Banach J. Math. Anal. 12, No. 3, 673-692 (2018). MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Banach J. Math. Anal. 12, No. 3, 673--692 (2018; Zbl 1402.42018) Full Text: DOI Euclid
Kokilashvili, V.; Meskhi, A.; Rafeiro, H. Boundedness of sublinear operators in weighted grand Morrey spaces. (English. Russian original) Zbl 1432.42011 Math. Notes 102, No. 5, 664-676 (2017); translation from Mat. Zametki 102, No. 5, 721-735 (2017). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Math. Notes 102, No. 5, 664--676 (2017; Zbl 1432.42011); translation from Mat. Zametki 102, No. 5, 721--735 (2017) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander The boundedness of sublinear operators in weighted Morrey spaces defined on spaces of homogeneous type. (English) Zbl 1383.42013 Jain, Pankaj (ed.) et al., Function spaces and inequalities, New Delhi, India, December 11–15, 2015. Singapore: Springer (ISBN 978-981-10-6118-9/hbk; 978-981-10-6119-6/ebook). Springer Proceedings in Mathematics & Statistics 206, 193-211 (2017). MSC: 42B20 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Springer Proc. Math. Stat. 206, 193--211 (2017; Zbl 1383.42013) Full Text: DOI
Fiorenza, Alberto; Kokilashvili, Vakhtang; Meskhi, Alexander Hardy-Littlewood maximal operator in weighted grand variable exponent Lebesgue space. (English) Zbl 1375.26014 Mediterr. J. Math. 14, No. 3, Paper No. 118, 20 p. (2017). MSC: 26A33 42B35 47B38 PDFBibTeX XMLCite \textit{A. Fiorenza} et al., Mediterr. J. Math. 14, No. 3, Paper No. 118, 20 p. (2017; Zbl 1375.26014) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad Sharp weighted bounds for one-sided operators. (English) Zbl 1364.42018 Georgian Math. J. 24, No. 2, 227-240 (2017). MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Georgian Math. J. 24, No. 2, 227--240 (2017; Zbl 1364.42018) Full Text: DOI
Meskhi, Alexander Multilinear integral operators in weighted function spaces. (English) Zbl 1513.42084 Lect. Notes TICMI 17, 5-17 (2016). MSC: 42B25 42B20 26A33 47G10 PDFBibTeX XMLCite \textit{A. Meskhi}, Lect. Notes TICMI 17, 5--17 (2016; Zbl 1513.42084) Full Text: Link Link
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander Multilinear integral operators in weighted grand Lebesgue spaces. (English) Zbl 1343.42018 Fract. Calc. Appl. Anal. 19, No. 3, 696-724 (2016). MSC: 42B20 42B25 42B35 46E30 31E05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Fract. Calc. Appl. Anal. 19, No. 3, 696--724 (2016; Zbl 1343.42018) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces. (English) Zbl 1367.47004 Operator Theory: Advances and Applications 249. Basel: Birkhäuser/Springer (ISBN 978-3-319-21017-9/hbk; 978-3-319-21018-6/ebook; 978-3-319-21153-4/set). xxiii, 571-1003 (2016). Reviewer: Boris Rubin (Baton Rouge) MSC: 47-02 47G10 45P05 47L05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces. Basel: Birkhäuser/Springer (2016; Zbl 1367.47004) Full Text: DOI
Kokilashvili, V.; Mastyło, M.; Meskhi, A. Multilinear fractional integrals in weighted grand Lebesgue spaces. (English) Zbl 1334.42029 Proc. A. Razmadze Math. Inst. 169, 141-153 (2015). MSC: 42B20 42B25 42B35 46E30 31E05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Proc. A. Razmadze Math. Inst. 169, 141--153 (2015; Zbl 1334.42029)
Meskhi, A. Criteria for the boundedness of potential operators in grand Lebesgue spaces. (English) Zbl 1334.42030 Proc. A. Razmadze Math. Inst. 169, 119-132 (2015). MSC: 42B20 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 169, 119--132 (2015; Zbl 1334.42030) Full Text: arXiv
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander Two-weight norm estimates for multilinear fractional integrals in classical Lebesgue spaces. (English) Zbl 1326.42020 Fract. Calc. Appl. Anal. 18, No. 5, 1146-1163 (2015). MSC: 42B20 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Fract. Calc. Appl. Anal. 18, No. 5, 1146--1163 (2015; Zbl 1326.42020) Full Text: DOI arXiv
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander Fractional integral operators between Banach function lattices. (English) Zbl 1366.42015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 117, 148-158 (2015). Reviewer: Valentina Casarino (Vicenza) MSC: 42B20 42B25 42B35 47B38 47G10 46E30 26A33 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 117, 148--158 (2015; Zbl 1366.42015) Full Text: DOI
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander The multisublinear maximal type operators in Banach function lattices. (English) Zbl 1296.42011 J. Math. Anal. Appl. 421, No. 1, 656-668 (2015). MSC: 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., J. Math. Anal. Appl. 421, No. 1, 656--668 (2015; Zbl 1296.42011) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Two-weight norm estimates for sublinear integral operators in variable exponent Lebesgue spaces. (English) Zbl 1340.42031 Stud. Sci. Math. Hung. 51, No. 3, 384-406 (2014). Reviewer: Lubomira Softova (Aversa) MSC: 42B20 42B25 26A33 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Stud. Sci. Math. Hung. 51, No. 3, 384--406 (2014; Zbl 1340.42031) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander One-weight weak type estimates for fractional and singular integrals in grand Lebesgue spaces. (English) Zbl 1307.42013 Hudzik, Henryk (ed.) et al., Function spaces X. Proceedings of the 10th international conference, Poznań, Poland, July 9–13, 2012. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-25-6/pbk). Banach Center Publications 102, 131-142 (2014). MSC: 42B20 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Banach Cent. Publ. 102, 131--142 (2014; Zbl 1307.42013) Full Text: DOI
Ashraf, Usman; Asif, Muhammad; Meskhi, Alexander Kernel operators on the upper half-space: boundedness and compactness criteria. (English) Zbl 1293.47026 Turk. J. Math. 38, No. 1, 119-135 (2014). MSC: 47B34 26A33 42B25 43A15 46B50 47B10 PDFBibTeX XMLCite \textit{U. Ashraf} et al., Turk. J. Math. 38, No. 1, 119--135 (2014; Zbl 1293.47026) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Potentials with product kernels in grand Lebesgue spaces: one-weight criteria. (English) Zbl 1347.42029 Lith. Math. J. 53, No. 1, 27-39 (2013). MSC: 42B20 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Lith. Math. J. 53, No. 1, 27--39 (2013; Zbl 1347.42029) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Two-weighted norm inequalities for the double Hardy transforms and strong fractional maximal functions in variable exponent Lebesgue space. (English) Zbl 1254.42027 Brown, B. Malcolm (ed.) et al., Spectral theory, function spaces and inequalities. New techniques and recent trends. Dedicated to David Edmund and Des Evans to their 80th and 70th birthdays. Berlin: Springer (ISBN 978-3-0348-0262-8/hbk; 978-3-0348-0263-5/ebook). Operator Theory: Advances and Applications 219, 105-124 (2012). Reviewer: Ming Xu (Guangzhou) MSC: 42B20 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Oper. Theory: Adv. Appl. 219, 105--124 (2012; Zbl 1254.42027) Full Text: DOI arXiv
Meskhi, Alexander; Murtaza, Ghulam; Sarwar, Muhammad Weighted criteria for one-sided potentials with product kernels on cones of decreasing functions. (English) Zbl 1222.26012 Math. Inequal. Appl. 14, No. 3, 693-708 (2011). MSC: 26A33 26D15 46E30 47B38 PDFBibTeX XMLCite \textit{A. Meskhi} et al., Math. Inequal. Appl. 14, No. 3, 693--708 (2011; Zbl 1222.26012) Full Text: DOI
Kokilashvili, V.; Meskhi, A.; Sarwar, M. One and two weight estimates for one-sided operators in \(L^{p(\cdot)}\) spaces. (English) Zbl 1211.26006 Eurasian Math. J. 1, No. 1, 73-110 (2010). MSC: 26A33 42B25 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Eurasian Math. J. 1, No. 1, 73--110 (2010; Zbl 1211.26006)
Kokilashvili, Vakhtang; Meskhi, Alexander Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure. (English) Zbl 1205.26014 Complex Var. Elliptic Equ. 55, No. 8-10, 923-936 (2010). Reviewer: Tej Singh Nahar (Bhilwara) MSC: 26A33 42B20 42B35 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Complex Var. Elliptic Equ. 55, No. 8--10, 923--936 (2010; Zbl 1205.26014) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Two-weight estimates for strong fractional maximal functions and potentials with multiple kernels. (English) Zbl 1201.42013 J. Korean Math. Soc. 46, No. 3, 523-550 (2009). Reviewer: Chuanzhi Bai (Huaian) MSC: 42B25 47G10 26A33 31B15 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, J. Korean Math. Soc. 46, No. 3, 523--550 (2009; Zbl 1201.42013) Full Text: DOI
Ashraf, Usman; Asif, Muhammad; Meskhi, Alexander Boundedness and compactness of positive integral operators on cones of homogeneous groups. (English) Zbl 1179.26016 Positivity 13, No. 3, 497-518 (2009). MSC: 26A33 42B25 43A15 46B50 47B10 47B34 PDFBibTeX XMLCite \textit{U. Ashraf} et al., Positivity 13, No. 3, 497--518 (2009; Zbl 1179.26016) Full Text: DOI
Eridani, A.; Kokilashvili, Vakhtang; Meskhi, Alexander Morrey spaces and fractional integral operators. (English) Zbl 1181.26014 Expo. Math. 27, No. 3, 227-239 (2009). Reviewer: Tej Singh Nahar (Bhilwara) MSC: 26A33 42B35 47B38 PDFBibTeX XMLCite \textit{A. Eridani} et al., Expo. Math. 27, No. 3, 227--239 (2009; Zbl 1181.26014) Full Text: DOI arXiv Link
Ashraf, U.; Asif, M.; Meskhi, A. On a class of bounded and compact higher dimensional kernel operators. (English) Zbl 1152.47013 Proc. A. Razmadze Math. Inst. 144, 121-125 (2007). Reviewer: Oscar Blasco (Valencia) MSC: 47B10 26A33 42B25 PDFBibTeX XMLCite \textit{U. Ashraf} et al., Proc. A. Razmadze Math. Inst. 144, 121--125 (2007; Zbl 1152.47013)
Kokilashvili, Vakhtang; Meskhi, Alexander Two-weighted criteria for integral transforms with multiple kernels. (English) Zbl 1112.47039 Figiel, Tadeuz (ed.) et al., Approximation and probability. Papers of the conference held on the occasion of the 70th anniversary of Prof. Zbigniew Ciesielski, Bȩdlewo, Poland, September 20–24, 2004. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 72, 119-140 (2006). Reviewer: Adina Luminiţa Sasu (Timişoara) MSC: 47G10 47H50 26A33 31B15 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Banach Cent. Publ. 72, 119--140 (2006; Zbl 1112.47039) Full Text: Link
Kokilashvili, V.; Meskhi, A. On some weighted inequalities for fractional integrals on nonhomogeneous spaces. (English) Zbl 1094.42010 Z. Anal. Anwend. 24, No. 4, 871-885 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 42B20 26A33 47B38 47G10 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Z. Anal. Anwend. 24, No. 4, 871--885 (2006; Zbl 1094.42010) Full Text: DOI
Kokilashvili, V.; Meskhi, A. On two weight estimates for strong fractional maximal functions and potentials with multiple kernels. (English) Zbl 1169.42309 Proc. A. Razmadze Math. Inst. 137, 135-140 (2005). Reviewer: Mihai Turinici (Iaşi) MSC: 42B25 31B15 47G10 46E30 26A33 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 137, 135--140 (2005; Zbl 1169.42309)
Kokilashvili, Vakhtang; Meskhi, Alexander On one-sided potentials with multiple kernels. (English) Zbl 1097.47035 Integral Transforms Spec. Funct. 16, No. 8, 669-683 (2005). Reviewer: Boris Rubin (Baton Rouge) MSC: 47B38 46B50 46E40 47B34 47H50 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Integral Transforms Spec. Funct. 16, No. 8, 669--683 (2005; Zbl 1097.47035) Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander On the trace inequality for one-sided potentials with multiple kernels. (English) Zbl 1093.47027 Fract. Calc. Appl. Anal. 6, No. 4, 461-472 (2003). Reviewer: Stefan G. Samko (Faro) MSC: 47B34 26D10 31B15 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Fract. Calc. Appl. Anal. 6, No. 4, 461--472 (2003; Zbl 1093.47027)
Kokilashvili, V.; Meskhi, A.; Samko, S. On the inversion and characterization of the Riesz potentials in the weighted Lebesgue spaces. (English) Zbl 1059.31003 Mem. Differ. Equ. Math. Phys. 29, 31-45 (2003). Reviewer: Alexander I. Kheyfits (Bronx) MSC: 31B15 47G10 26A33 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Mem. Differ. Equ. Math. Phys. 29, 31--45 (2003; Zbl 1059.31003)
Kokilashvili, Vakhtang; Meskhi, Alexander Weight inequalities for one-sided potentials for critical weights. (English) Zbl 1048.47035 Fract. Calc. Appl. Anal. 5, No. 3, 255-265 (2002). Reviewer: Stefan G. Samko (Faro) MSC: 47G10 26A33 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Fract. Calc. Appl. Anal. 5, No. 3, 255--265 (2002; Zbl 1048.47035)
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. On Fourier multipliers in weighted Triebel-Lizorkin spaces. (English) Zbl 1016.42008 J. Inequal. Appl. 7, No. 4, 555-591 (2002). MSC: 42B15 46E35 42B20 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., J. Inequal. Appl. 7, No. 4, 555--591 (2002; Zbl 1016.42008) Full Text: DOI
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander Bounded and compact integral operators. (English) Zbl 1023.42001 Mathematics and its Applications (Dordrecht). 543. Dordrecht: Kluwer Academic Publishers. xvi, 643 p. (2002). Reviewer: Boris Rubin (Jerusalem) MSC: 42-02 42A50 42B15 42B20 42B25 47G10 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., Bounded and compact integral operators. Dordrecht: Kluwer Academic Publishers (2002; Zbl 1023.42001)
Kokilashvili, Vakhtang; Meskhi, Alexander Fractional integrals on measure spaces. (English) Zbl 1065.47503 Fract. Calc. Appl. Anal. 4, No. 1, 1-24 (2001). MSC: 47G10 47B38 26A33 31B15 42B20 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Fract. Calc. Appl. Anal. 4, No. 1, 1--24 (2001; Zbl 1065.47503)
Meskhi, A. Criteria of the boundedness and compactness for the Riemann-Liouville type discrete operators. (English) Zbl 1025.47030 Proc. A. Razmadze Math. Inst. 126, 119-121 (2001). MSC: 47G10 47B10 26A33 42B15 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 126, 119--121 (2001; Zbl 1025.47030)
Meskhi, A. Criteria for the boundedness and compactness of generalized one-sided potentials. (English) Zbl 1018.42011 Real Anal. Exch. 26(2000-2001), No. 1, 217-235 (2001). Reviewer: Boris Rubin (Givat Ram / Jerusalem) MSC: 42B20 47G10 26A33 47B38 46E40 PDFBibTeX XMLCite \textit{A. Meskhi}, Real Anal. Exch. 26, No. 1, 217--235 (2001; Zbl 1018.42011)
Meskhi, Alexander On the boundedness and compactness of ball fractional integral operators. (English) Zbl 1030.42015 Fract. Calc. Appl. Anal. 3, No. 1, 13-30 (2000). MSC: 42B20 47B38 26A33 47G10 PDFBibTeX XMLCite \textit{A. Meskhi}, Fract. Calc. Appl. Anal. 3, No. 1, 13--30 (2000; Zbl 1030.42015)
Meskhi, A. On the measure of non-compactness and singular numbers for the Volterra integral operators. (English) Zbl 0999.47032 Proc. A. Razmadze Math. Inst. 123, 162-165 (2000). Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk) MSC: 47G10 47B10 26A33 42B15 45P05 47H09 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 123, 162--165 (2000; Zbl 0999.47032)
Kokilashvili, V.; Meskhi, A. Boundedness and compactness criteria for some classical integral transforms. (English) Zbl 0960.44004 Hudzik, Henryk (ed.) et al., Function spaces. Proceedings of the 5th international conference, Poznań, Poland, August 28-September 3, 1998. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 213, 279-296 (2000). MSC: 44A15 42B20 43A85 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Lect. Notes Pure Appl. Math. 213, 279--296 (2000; Zbl 0960.44004)
Meskhi, A. Criteria for the boundedness and compactness for the generalized Riemann-Liouville transform. (English) Zbl 1094.42515 Proc. A. Razmadze Math. Inst. 121, 161-162 (1999). MSC: 42B20 42B25 46E30 26A33 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 121, 161--162 (1999; Zbl 1094.42515)
Meskhi, A. Boundedness and compactness weighted criteria for Riemann-Liouville and one-sided maximal operators. (English) Zbl 0982.42013 Proc. A. Razmadze Math. Inst. 117, 126-128 (1998). MSC: 42B25 42B20 47G10 47B38 26A33 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 117, 126--128 (1998; Zbl 0982.42013)
Meskhi, A. Solution of some weight problems for the Riemann-Liouville and Weyl operators. (English) Zbl 0931.42008 Georgian Math. J. 5, No. 6, 565-574 (1998). Reviewer: L.Pick (Praha) MSC: 42B20 26A33 46E40 47G10 PDFBibTeX XMLCite \textit{A. Meskhi}, Georgian Math. J. 5, No. 6, 565--574 (1998; Zbl 0931.42008) Full Text: EuDML EMIS