Kokilashvili, Vakhtang; Ibrahimov, Elman J. Weak and strong type inequalities criteria for fractional maximal functions and fractional integrals associated with Gegenbauer differential operator. (English) Zbl 1532.42025 Georgian Math. J. 30, No. 5, 745-767 (2023). Reviewer: Sibei Yang (Lanzhou) MSC: 42B35 42B25 42B20 46E35 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Rubio de Francía’s weighted extrapolation in mixed-norm spaces and applications. (English) Zbl 1535.46031 Math. Nachr. 296, No. 9, 3929-3947 (2023). MSC: 46E30 46E36 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
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 1531.42048 Result. Math. 78, No. 5, Paper No. 181, 17 p. (2023). MSC: 42B35 47B38 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Gorgadze, Tamuna; Kokilashvili, Vakhtang; Makharadze, Dali The inequalities for trigonometric polynomials and entire functions of finite order in generalized weighted grand Lebesgue spaces. (English) Zbl 1533.46026 Trans. A. Razmadze Math. Inst. 176, No. 3, 443-446 (2022). MSC: 46E30 41A17 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, V. Boundary value problems for analytic functions with boundary data from grand Lebesgue spaces. (English. Russian original) Zbl 1507.42014 J. Math. Sci., New York 268, No. 3, 355-367 (2022); translation from Probl. Mat. Anal. 118, 97-107 (2022). MSC: 42B20 30E25 45E99 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang; Meskhi, Alexander Extrapolation and the boundedness in grand variable exponent Lebesgue spaces without assuming the log-Hölder continuity condition, and applications. (English) Zbl 1485.42036 J. Fourier Anal. Appl. 28, No. 2, Paper No. 28, 26 p. (2022). MSC: 42B25 42B35 42B20 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang Boundedness criteria for Calderón singular integral operator in some grand function spaces. (English) Zbl 1537.42026 Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 2, 7-13 (2021). MSC: 42B20 46E30 42B35 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang; Meskhi, Alexander Weighted extrapolation in mixed norm function spaces. (English) Zbl 1494.46026 Trans. A. Razmadze Math. Inst. 175, No. 2, 287-291 (2021). MSC: 46E30 42B25 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang; Meskhi, Alexander Fractional integrals with measure in grand Lebesgue and Morrey spaces. (English) Zbl 1529.45010 Integral Transforms Spec. Funct. 32, No. 9, 695-709 (2021). MSC: 45P05 26A33 28A25 26A42 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander Embeddings in grand variable exponent function spaces. (English) Zbl 1480.46050 Result. Math. 76, No. 3, Paper No. 137, 27 p. (2021). MSC: 46E36 46E35 42B25 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander Maximal and singular integral operators in weighted grand variable exponent Lebesgue spaces. (English) Zbl 1466.42014 Ann. Funct. Anal. 12, No. 3, Paper No. 48, 29 p. (2021). MSC: 42B25 42B20 47B38 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, V. M.; Meskhi, A. N. On the boundedness of integral operators in weighted grand Morrey spaces. (English. Russian original) Zbl 1462.42023 Proc. Steklov Inst. Math. 312, 194-206 (2021); translation from Tr. Mat. Inst. Steklova 312, 203-215 (2021). MSC: 42B20 42B25 42B35 47G10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang On the boundedness in generalized weighted grand Lebesgue spaces of some integral operators associated to the Schrödinger operator. (English) Zbl 07429514 Trans. A. Razmadze Math. Inst. 174, No. 3, 419-421 (2020). MSC: 47D08 42B25 42B20 42B35 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang Weighted grand mixed-norm Lebesgue spaces and boundedness criteria for integral operators. (English) Zbl 1478.46025 Georgian Math. J. 27, No. 4, 577-583 (2020). Reviewer: Nikita Evseev (Novosibirsk) MSC: 46E30 42B20 42B25 42B35 47G10 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Tsanava, Tsira A note on the multiple fractional integrals defined on the product of nonhomogeneous measure spaces. (English) Zbl 1456.26009 Trans. A. Razmadze Math. Inst. 174, No. 2, 257-259 (2020). MSC: 26A33 42B35 43A15 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang On the boundedness of multiple Cauchy singular and fractional integrals defined on the product of rectifiable curves. (English) Zbl 1456.42018 Trans. A. Razmadze Math. Inst. 174, No. 2, 251-255 (2020). MSC: 42B20 42A50 42B35 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang; Mastyło, Mieczysław; Meskhi, Alexander Calderón-Zygmund singular operators in extrapolation spaces. (English) Zbl 1450.42008 J. Funct. Anal. 279, No. 10, Article ID 108735, 21 p. (2020). Reviewer: Feng Liu (Qingdao) MSC: 42B20 42B25 46B70 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang On trigonometric approximation by angle of multivariable functions in weighted variable exponent mixed-norm Lebesgue spaces. (English) Zbl 1469.42006 Bull. Georgian Natl. Acad. Sci. (N.S.) 13, No. 3, 7-11 (2019). MSC: 42A10 42B35 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang; Tsanava, Tsira Trigonometric approximation by angle in classical weighted Lorentz and grand Lorentz spaces. (English) Zbl 1456.42004 Trans. A. Razmadze Math. Inst. 173, No. 3, 163-166 (2019). Reviewer: Yuri A. Farkov (Moskva) MSC: 42A10 41A30 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang Approximation by trigonometric polynomials in the framework of weighted fully measurable grand Lorentz spaces. (English) Zbl 1456.42003 Trans. A. Razmadze Math. Inst. 173, No. 3, 161-162 (2019). MSC: 42A10 41A30 42B35 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, V.; Tsanava, Ts. Angular trigonometric approximation in the framework of new scale of function spaces. (English) Zbl 1456.42005 Trans. A. Razmadze Math. Inst. 173, No. 2, 133-136 (2019). MSC: 42A10 41A30 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, V.; Meskhi, A. Maximal and Calderón-Zygmund operators in weighted grand variable exponent Lebesgue spaces. (English) Zbl 1516.42012 Trans. A. Razmadze Math. Inst. 173, No. 2, 127-131 (2019). MSC: 42B20 42B25 46E30 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, V. M. Weighted grand Lebesgue space with a mixed norm and integral operators. (English. Russian original) Zbl 1442.42048 Dokl. Math. 100, No. 3, 549-550 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 489, No. 4, 344-346 (2019). MSC: 42B25 42B35 47G10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Edmunds, David E.; Kokilashvili, Vakhtang; Meskhi, Alexander Sobolev-type inequalities for potentials in grand variable exponent Lebesgue spaces. (English) Zbl 1479.46033 Math. Nachr. 292, No. 10, 2174-2188 (2019). Reviewer: Alexandre Almeida (Aveiro) MSC: 46E30 42B20 42B25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Makharadze, Dali; Tsanava, Tsira Necessary and sufficient conditions for weighted boundedness of integral transforms defined on product spaces in generalized grand Lebesgue spaces. (English) Zbl 1440.42082 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 1, 7-11 (2018). MSC: 42B25 42B35 46E30 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Fiorenza, Alberto; Kokilashvili, Vakhtang Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications. (English) Zbl 1400.42010 Ann. Funct. Anal. 9, No. 3, 413-425 (2018). MSC: 42B20 42B25 46E30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
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 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Kokilashvili, Vakhtang; Meskhi, Alexander One-sided operators in grand variable exponent Lebesgue spaces. (English) Zbl 1395.42033 Z. Anal. Anwend. 37, No. 3, 277-297 (2018). MSC: 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, V.; Paatashvili, V. Riemann-Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue spaces. (English) Zbl 06900949 Complex Var. Elliptic Equ. 63, No. 9, 1233-1257 (2018). MSC: 47B35 30E20 47B38 30E25 × Cite Format Result Cite Review PDF Full Text: DOI
Gabidzashvili, Merab; Kokilashvili, Vakhtang; Tsanava, Tsira Fundamental inequalities for trigonometric polynomials in new function spaces and applications. (English) Zbl 1385.42001 Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 1, 7-11 (2017). MSC: 42A05 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, V.; Paatashvili, V. On the Riemann-Hilbert boundary value problem for generalized analytic functions in the framework of variable exponent spaces. (English) Zbl 06836393 Math. Methods Appl. Sci. 40, No. 18, 7267-7286 (2017). MSC: 47B35 42B25 30E20 47B38 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, V.; Meskhi, A.; Rafeiro, H. Sublinear operators in generalized weighted Morrey spaces. (English. Russian original) Zbl 06688877 Dokl. Math. 94, No. 2, 558-560 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 470, No. 5, 502-504 (2016). MSC: 47-XX 42Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Gabisonia, Inga; Kokilashvili, Vakhtang; Makharadze, Dali On the approximation of periodic functions in variable exponent Lorentz spaces. (English) Zbl 1356.42002 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 1, 7-11 (2016). MSC: 42A10 46E30 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, V. M.; Meskhi, A. N. Weighted extrapolation in Iwaniec-Sbordone spaces. Applications to integral operators and approximation theory. (English. Russian original) Zbl 1365.46026 Proc. Steklov Inst. Math. 293, 161-185 (2016); translation from Tr. Mat. Inst. Steklova 293, 167-192 (2016). MSC: 46E30 41A17 26D10 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Paatashvili, Vakhtang The Riemann boundary value problem in the class of Cauchy type integrals with densities of grand variable exponent Lebesgue spaces. (English) Zbl 1372.47038 Georgian Math. J. 23, No. 4, 551-558 (2016). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 47B35 30E20 45P05 47B38 30E25 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad Sharp weighted bounds for multiple integral operators. (English) Zbl 1350.42029 Trans. A. Razmadze Math. Inst. 170, No. 1, 75-90 (2016). MSC: 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kokilashvili, Vakhtang; Meskhi, Alexander; Paatashvili, Vakhtang Generalized singular integral on Carleson curves in weighted grand Lebesgue spaces. (English) Zbl 1354.30040 Trans. A. Razmadze Math. Inst. 170, No. 2, 212-214 (2016). MSC: 30G20 46E30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kokilashvili, Vakhtang; Meskhi, Alexander; Paatashvili, Vakhtang The Riemann-Hilbert problem in the class of Cauchy type integrals with densities of grand Lebesgue spaces. (English) Zbl 1358.30014 Trans. A. Razmadze Math. Inst. 170, No. 2, 208-211 (2016). Reviewer: Vladimir S. Pilidi (Rostov-na-Donu) MSC: 30E25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI
Danelia, Nina; Kokilashvili, Vakhtang Approximation by trigonometric polynomials in the framework of variable exponent grand Lebesgue spaces. (English) Zbl 1336.42001 Georgian Math. J. 23, No. 1, 43-53 (2016). MSC: 42A10 42A05 46E30 42A50 42B35 42B25 41A17 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces. (English) Zbl 1385.47001 Operator Theory: Advances and Applications 248. Basel: Birkhäuser/Springer (ISBN 978-3-319-21014-8/hbk; 978-3-319-21015-5/ebook; 978-3-319-21153-4/set). xx, 567 p. (2016). Reviewer: Boris Rubin (Baton Rouge) MSC: 47-02 47G10 45P05 45E99 × Cite Format Result Cite Review PDF Full Text: DOI
Danelia, Nina; Kokilashvili, Vakhtang Approximation by trigonometric polynomials of fractional derivatives of periodic functions and the properties of conjugate functions in \(L^{p(x)}\) spaces when min \(p(x) = 1\). (English) Zbl 1352.42003 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 7-11 (2015). MSC: 42A10 42A50 46E30 26A33 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang The inverse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces with different space norms. (English) Zbl 1345.42002 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 1, 7-11 (2015). MSC: 42A10 46E30 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF
Kokilashvili, V.; Mastyło, M.; Meskhi, A. Multilinear maximal functions and singular integrals in weighted grand Lebesque spaces. (English) Zbl 1333.42038 Proc. A. Razmadze Math. Inst. 167, 142-150 (2015). MSC: 42B25 42B20 42B35 46E30 31E05 × Cite Format Result Cite Review PDF
Kokilashvili, V. On the mean spherical convergence and summability of multiple Fourier trigonometric series. (English) Zbl 1333.42007 Proc. A. Razmadze Math. Inst. 167, 138-141 (2015). MSC: 42B08 42B05 42B15 42B35 42B30 46E30 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kokilashvili, Vakhtang; Meskhi, Alexander On weighted Bernstein type inequality in grand variable exponent Lebesgue spaces. (English) Zbl 1322.42002 Math. Inequal. Appl. 18, No. 3, 991-1002 (2015). MSC: 42A05 42A10 41A17 26D05 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, V.; Meskhi, A. Some fundamental inequalities for trigonometric polynomials and imbeddings of grand Besov spaces. (English) Zbl 1327.46031 Proc. A. Razmadze Math. Inst. 165, 105-116 (2014). MSC: 46E30 46E35 42B25 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kokilashvili, Vakhtang; Meskhi, Alexander Maximal and Calderón-Zygmund operators in grand variable exponent Lebesgue spaces. (English) Zbl 1304.42049 Georgian Math. J. 21, No. 4, 447-461 (2014). MSC: 42B25 42B20 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, V.; Meskhi, A.; Zaighum, M. A. On sharp weighted bounds for one-sided operators norms. (English) Zbl 1297.42031 Proc. A. Razmadze Math. Inst. 164, 121-129 (2014). MSC: 42B25 42B20 × Cite Format Result Cite Review PDF Full Text: Link
Danelia, N.; Kokilashvili, V. Approximation of periodic functions in grand variable exponent Lebesgue spaces. (English) Zbl 1296.41004 Proc. A. Razmadze Math. Inst. 164, 100-103 (2014). MSC: 41A10 41A25 26A33 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto Grand Bochner-Lebesgue space and its associate space. (English) Zbl 1308.46052 J. Funct. Anal. 266, No. 4, 2125-2136 (2014). MSC: 46E40 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Mastyło, Mieczyslaw; Meskhi, Alexander On the boundedness of the multilinear fractional integral operators. (English) Zbl 1283.42033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 94, 142-147 (2014). MSC: 42B25 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Akgün, R.; Kokilashvili, V. Some notes on trigonometric approximation of \((\alpha, \psi)\)-differentiable functions in weighted variable exponent Lebesgue spaces. (English) Zbl 1291.42002 Proc. A. Razmadze Math. Inst. 161, 15-23 (2013). MSC: 42A10 46E30 41A17 41A25 41A27 × Cite Format Result Cite Review PDF
Kokilashvili, V.; Meskhi, A. Integral operator in grand variable Lebesgue spaces. (English) Zbl 1290.42046 Proc. A. Razmadze Math. Inst. 162, 144-150 (2013). MSC: 42B25 42B20 42B35 × Cite Format Result Cite Review PDF
Kokilashvili, V.; Samko, S. A note on generalized Cauchy singular integrals in weighted variable exponent Lebesgue spaces. (English) Zbl 1287.42011 Proc. A. Razmadze Math. Inst. 162, 79-84 (2013). MSC: 42B20 × Cite Format Result Cite Review PDF
Kokilashvili, Vakhtang; Nanobashvili, Ilia Boundedness criteria for the majorants of Fourier integrals summation means in weighted variable exponent Lebesgue spaces and application. (English) Zbl 1283.42034 Georgian Math. J. 20, No. 4, 721-727 (2013). MSC: 42B25 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad Positive kernel operators in \(L^{p(x)}\) spaces. (English) Zbl 1318.47041 Positivity 17, No. 4, 1123-1140 (2013). Reviewer: Alexandre Almeida (Aveiro) MSC: 47B34 46E30 47B38 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Zaighum, Muhammad Asad Weighted kernel operators in variable exponent amalgam spaces. (English) Zbl 1320.47028 J. Inequal. Appl. 2013, Paper No. 173, 27 p. (2013). Reviewer: Alexandre Almeida (Aveiro) MSC: 47B34 46E30 47B38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kokilashvili, Vakhtang; Meskhi, Alexander; Sarwar, Muhammad Two-weight norm estimates for maximal and Calderón-Zygmund operators in variable exponent Lebesgue spaces. (English) Zbl 1286.42019 Georgian Math. J. 20, No. 3, 547-572 (2013). Reviewer: Chun-Yen Shen (Chungli) MSC: 42B20 42B25 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications. (English) Zbl 1292.42009 Stud. Math. 217, No. 2, 159-178 (2013). Reviewer: Chin-Cheng Lin (Chung-Li) MSC: 42B20 42B25 42B35 42B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto Riesz type potential operators in generalized grand Morrey spaces. (English) Zbl 1280.46017 Georgian Math. J. 20, No. 1, 43-64 (2013). Reviewer: Giorgi Oniani (Kutaisi) MSC: 46E30 42B20 42B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kokilashvili, V.; Paatashvili, V. The Riemann and Dirichlet problems with data from the grand Lebesgue spaces. (English) Zbl 1276.47039 Almeida, Alexandre (ed.) et al., Advances in harmonic analysis and operator theory. The Stefan Samko anniversary volume on the occasion of his 70th birthday. Mainly based on the presentations at two conferences, Lisbon and Aveiro, Portugal, in June – July, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0515-5/hbk; 978-3-0348-0516-2/ebook). Operator Theory: Advances and Applications 229, 233-251 (2013). Reviewer: Boris A. Kats (Kazan) MSC: 47B38 30E20 42B20 42B25 46E30 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Danelia, Nina; Kokilashvili, Vakhtang On the approximation of periodic functions within the frame of grand Lebesgue spaces. (English) Zbl 1281.42004 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 2, 11-16 (2012). MSC: 42A10 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, V.; Meskhi, A. Potentials with product kernels in grand Lebesgue spaces. (English) Zbl 1276.42017 Proc. A. Razmadze Math. Inst. 159, 158-161 (2012). MSC: 42B25 46E30 × Cite Format Result Cite Review PDF
Akgün, R.; Kokilashvili, V. Some approximation problems for \((\alpha,\psi)\)-differentiable functions in weighted variable exponent Lebesgue spaces. (English. Russian original) Zbl 1264.41020 J. Math. Sci., New York 186, No. 2, 139-152 (2012); translation from Probl. Mat. Anal. 66, 3-14 (2012). MSC: 41A30 46E30 × Cite Format Result Cite Review PDF Full Text: DOI
Akgün, Ramazan; Kokilashvili, Vakhtang Refined estimates of trigonometric approximation for functions with generalized derivatives in weighted variable exponent Lebesgue spaces. (English) Zbl 1263.46029 Georgian Math. J. 19, No. 4, 611-626 (2012). Reviewer: László Leindler (Szeged) MSC: 46E30 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Akgün, R.; Kokilashvili, V. Approximation by trigonometric polynomials of functions having \((\alpha , \psi )\)-derivatives in weighted variable exponent Lebesgue spaces. (English) Zbl 1258.42004 J. Math. Sci., New York 184, No. 4, 371-382 (2012); translation from Probl. Mat. Anal. 65, 3-12 (2012). MSC: 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang; Paatashvili, Vakhtang Boundary value problems for analytic and harmonic functions in nonstandard Banach function spaces. (English) Zbl 1260.30001 Mathematics Research Developments. New York, NY: Nova Science Publishers (ISBN 978-1-61942-301-5/hbk; 978-1-61942-302-2/ebook). xiii, 280 p. (2012). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30-02 30E20 31A25 30E25 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kokilashvili, Vakhtang; Meskhi, Alexander Trace inequalities for fractional integrals in grand Lebesgue spaces. (English) Zbl 1275.46016 Stud. Math. 210, No. 2, 159-176 (2012). Reviewer: Santiago Boza (Vilanova i la Geltrú) MSC: 46E30 31E05 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Kokilashvili, Vakhtang Singular integrals and strong maximal functions in weighted grand Lebesgue spaces. (English) Zbl 1289.42043 Rákosník, Jiří (ed.), Nonlinear analysis, function spaces and applications. Vol. 9. Proceedings of the international school, NAFSA 9, Třešt’, Czech Republic, September 11–17, 2010. Prague: Czech Academy of Sciences, Mathematical Institute (ISBN 978-80-85823-59-2). 261-269 (2011). MSC: 42B20 42B25 46E30 × Cite Format Result Cite Review PDF Full Text: Link
Kokilashvili, Vakhtang; Paatashvili, Vakhtang Generalization of I. Vekua’s integral representations of holomorphic functions and their application to the Riemann-Hilbert-Poincaré problem. (English) Zbl 1237.30012 J. Funct. Spaces Appl. 9, No. 3, 217-244 (2011). Reviewer: Vladimir Mityushev (Kraków) MSC: 30E25 30E20 45E05 47B38 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Khuskivadze, G.; Kokilashvili, V.; Paatashvili, V. The Dirichlet problem for variable exponent Smirnov class harmonic functions in doubly-connected domains. (English) Zbl 1256.30021 Mem. Differ. Equ. Math. Phys. 52, 131-156 (2011). Reviewer: Heinrich Begehr (Berlin) MSC: 30E20 30E25 30H10 47B38 42B20 × Cite Format Result Cite Review PDF