Edit Profile (opens in new tab) Astashkin, Sergeĭ Vladimir Co-Author Distance Author ID: astashkin.sergey-v Published as: Astashkin, S. V.; Astashkin, Sergey V.; Astashkin, Sergei V.; Astashkin, Sergey; Astashkin, Serguei V.; Astashkin, S.; Astashkin, Sergeĭ Vladimirovich; Astashkin, Serguey V.; Astashkin, Sergeĭ V.; Astashkin, Sergei more...less Further Spellings: Astashkin, Sergey Vladimir Homepage: http://www.ssau.ru/engstaff/334603-Astashkin-Sergey-Vladimirovich/ External Links: MGP · ORCID · ResearchGate · Math-Net.Ru Documents Indexed: 175 Publications since 1982, including 2 Books Co-Authors: 27 Co-Authors with 99 Joint Publications 682 Co-Co-Authors all top 5 Co-Authors 76 single-authored 21 Maligranda, Lech 20 Sukochev, Fedor Anatol’evich 18 Semënov, Evgeniĭ Mikhaĭlovich 8 Curbera, Guillermo P. 8 Lykov, Konstantin Vladimirovich 8 Terekhin, Pavel Aleksandrovich 6 Tikhomirov, Konstantin E. 4 Zanin, Dmitriy V. 3 Milman, Mario Marcos 3 Nilsson, Per G. 2 Mastyło, Mieczysław 2 Strakhov, Stepan Igorevich 2 Sukhanov, R. S. 2 Sunehag, Peter 2 Wong, Chin Pin 1 Braverman, Michael Sh. 1 Cwikel, Michael 1 Galich, D. N. 1 Hernández Rodriguez, Francisco L. 1 Huang, Jinghao 1 Kalton, Nigel John 1 Kim, Yu. E. 1 Leibov, Mikhail 1 Leśnik, Karol 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Ovchinnikov, Vladimir I. 1 Uzbekov, R. F. all top 5 Serials 22 Mathematical Notes 15 Functional Analysis and its Applications 12 Siberian Mathematical Journal 11 Studia Mathematica 9 Sbornik: Mathematics 8 Doklady Mathematics 7 Journal of Functional Analysis 6 Journal of Mathematical Analysis and Applications 6 Proceedings of the American Mathematical Society 5 St. Petersburg Mathematical Journal 4 Sibirskiĭ Matematicheskiĭ Zhurnal 4 Positivity 4 Revista Matemática Complutense 3 Israel Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Russian Mathematics 2 Russian Mathematical Surveys 2 Journal of Approximation Theory 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Indagationes Mathematicae. New Series 2 East Journal on Approximations 2 Izvestiya: Mathematics 2 Izvestiya. Rossiĭskaya Akademiya Estestvennykh Nauk. Matematika, Matematicheskoe Modelirovanie, Informatika i Upravlenie 2 Vestnik Samarskogo Gosudarstvennogo Universitetea. Estestvennonauchnaya Seriya 2 Pure and Applied Functional Analysis 2 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya 1 Houston Journal of Mathematics 1 Advances in Mathematics 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Doklady Akademii Nauk UzSSR 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Revista Matemática Iberoamericana 1 Journal of Mathematical Sciences (New York) 1 The Journal of Fourier Analysis and Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Issledovaniya po Teorii Funktsiĭ Mnogikh Veshchestvennykh Peremennykh 1 Proceedings of the Steklov Institute of Mathematics 1 Banach Journal of Mathematical Analysis 1 Analysis & PDE 1 Commentationes Mathematicae 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Fields 164 Functional analysis (46-XX) 21 Probability theory and stochastic processes (60-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 14 Operator theory (47-XX) 4 Approximations and expansions (41-XX) 3 Measure and integration (28-XX) 2 Real functions (26-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 129 Publications have been cited 633 times in 280 Documents Cited by ▼ Year ▼ Structure of Cesàro function spaces. Zbl 1200.46027Astashkin, Sergei V.; Maligranda, Lech 37 2009 Structure of Cesàro function spaces: a survey. Zbl 1327.46028Astashkin, Sergey V.; Maligranda, Lech 27 2014 Series of independent random variables in rearrangement invariant spaces: an operator approach. Zbl 1084.46020Astashkin, S. V.; Sukochev, F. A. 26 2005 Cesaro mean convergence of martingale differences in rearrangement invariant spaces. Zbl 1160.46020Astashkin, Sergey V.; Kalton, Nigel; Sukochev, Fyodor A. 17 2008 Cesàro function spaces fail the fixed point property. Zbl 1168.46014Astashkin, Sergei V.; Maligranda, Lech 16 2008 Extrapolatory description for the Lorentz and Marcinkiewicz spaces “close” to \(L_\infty\). Zbl 1150.46311Astashkin, S. V.; Lykov, K. V. 15 2006 Rademacher functions in symmetric spaces. Zbl 1229.46020Astashkin, S. V. 14 2010 Banach-Saks property in Marcinkiewicz spaces. Zbl 1126.46005Astashkin, S. V.; Sukochev, F. A. 14 2007 Independent functions and the geometry of Banach spaces. Zbl 1219.46025Astashkin, S. V.; Sukochev, F. A. 13 2010 Disjointly strictly singular inclusions of symmetric spaces. Zbl 0947.46017Astashkin, S. V. 13 1999 Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces. Zbl 1185.46016Astashkin, Sergei V.; Hernández, Francisco L.; Semenov, Evgeni M. 12 2009 The Banach–Saks \(p\)-property. Zbl 1083.46014Astashkin, S. V.; Semenov, E. M.; Sukochev, F. A. 12 2005 Interpolation between \(L_{1}\) and \(L_{p}\), \(1<p<\infty\). Zbl 1054.46017Astashkin, Sergei V.; Maligranda, Lech 11 2004 Strong extrapolation spaces and interpolation. Zbl 1224.46038Astashkin, S. V.; Lykov, K. V. 11 2009 Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces. Zbl 1325.46031Astashkin, S. V.; Sukochev, F. A. 9 2014 About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system. Zbl 1004.46018Astashkin, Sergey V. 8 2001 Best constants in Rosenthal-type inequalities and the Kruglov operator. Zbl 1211.46008Astashkin, S. V.; Sukochev, F. A. 8 2010 Comparison of sums of independent and disjoint functions in symmetric spaces. Zbl 1076.46020Astashkin, S. V.; Sukochev, F. A. 8 2004 Extrapolation description of rearrangement invariant spaces and related problems. Zbl 1294.46024Astashkin, Sergey; Lykov, Konstantin 8 2011 Systems of random variables equivalent in distribution to the Rademacher system and the \(\mathcal K\)-closed representability of Banach couples. Zbl 0965.60016Astashkin, S. V. 8 2000 Extrapolation functors on a family of scales generated by the real interpolation method. Zbl 1107.46017Astashkin, S. V. 8 2005 Rademacher functions in Cesàro type spaces. Zbl 1202.46031Astashkin, Sergei V.; Maligranda, Lech 8 2010 Multiplicator space and complemented subspaces of rearrangement invariant space. Zbl 1040.46025Astashkin, S. V.; Maligranda, L.; Semenov, E. M. 8 2003 \({\Lambda}(p)\)-spaces. Zbl 1319.46025Astashkin, S. V. 8 2014 Limiting interpolation spaces via extrapolation. Zbl 1421.46023Astashkin, Sergey V.; Lykov, Konstantin V.; Milman, Mario 8 2019 Symmetric kernel of Rademacher multiplicator spaces. Zbl 1083.46015Astashkin, Serguei V.; Curbera, Guillermo P. 7 2005 Disjointification inequalities in symmetric quasi-Banach spaces and their applications. Zbl 1318.46014Astashkin, Sergey; Sukochev, Fedor A.; Zanin, Dmitriy 7 2014 Disjointification of martingale differences and conditionally independent random variables with some applications. Zbl 1238.46009Astashkin, Sergey; Sukochev, Fedor; Wong, Chin Pin 7 2011 Interpolation of Cesàro sequence and function spaces. Zbl 1357.46023Astashkin, Sergey V.; Maligranda, Lech 7 2013 Disjointly homogeneous rearrangement invariant spaces via interpolation. Zbl 1328.46022Astashkin, S. V. 6 2015 Tensor product in symmetric function spaces. Zbl 0892.46028Astashkin, S. V. 6 1997 Interpolation of operators in quasinormed groups of measurable functions. Zbl 0877.46015Astashkin, S. V. 6 1994 On the multiplier space generated by the Rademacher system. Zbl 1115.46024Astashkin, S. V. 6 2004 Rademacher functions in BMO. Zbl 1242.46034Astashkin, Sergey V.; Leibov, Mikhail; Maligranda, Lech 6 2011 Distributionally concave symmetric spaces and uniqueness of symmetric structure. Zbl 1264.46019Astashkin, S. V.; Sukochev, F. A.; Wong, C. P. 6 2013 Independent functions in rearrangement invariant spaces and the Kruglov property. Zbl 1280.46015Astashkin, S. V. 6 2008 On interpolation of bilinear operators by the real method. Zbl 0798.46054Astashkin, S. V. 5 1992 Lebesgue constants of the Walsh system and Banach limits. Zbl 1354.42047Astashkin, S. V.; Semenov, E. M. 5 2016 Rademacher chaos in symmetric spaces. II. Zbl 1084.42508Astashkin, S. V. 5 2000 On interpolation of subspaces of symmetric spaces generated by Rademacher system. Zbl 0908.46014Astashkin, S. V. 5 1997 Rademacher multiplicator spaces equal to \(L^\infty \). Zbl 1160.46021Astashkin, Serguei V.; Curbera, Guillermo P. 5 2008 Real method of interpolation on subcouples of codimension one. Zbl 1144.46018Astashkin, S. V.; Sunehag, P. 5 2008 Sequences of independent identically distributed functions in rearrangement invariant spaces. Zbl 1144.46025Astashkin, S. V.; Sukochev, F. A. 5 2008 Spaces defined by the Paley function. Zbl 1287.46021Astashkin, S. V.; Semenov, E. M. 5 2013 Finite representability of \(\ell _{p}\)-spaces in symmetric spaces. Zbl 1245.46021Astashkin, S. V. 5 2012 On symmetric spaces with convergence in measure on reflexive subspaces. Zbl 1407.46022Astashkin, S. V.; Strakhov, S. I. 5 2018 On the geometric properties of Cesàro spaces. Zbl 1253.46022Astashkin, S. V. 5 2012 Geometry of Cesàro function spaces. Zbl 1271.46027Astashkin, S. V.; Maligranda, L. 5 2011 On a property of rearrangement invariant spaces whose second Köthe dual is nonseparable. Zbl 1456.46024Astashkin, S. V.; Semenov, E. M. 5 2020 Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi-axis. Zbl 1215.46013Astashkin, Sergey V. 4 2011 Ultrasymmetric Orlicz spaces. Zbl 1170.46029Astashkin, Sergei V.; Maligranda, Lech 4 2008 Extrapolation properties of the scale of \(L_p\)-spaces. Zbl 1088.46011Astashkin, S. V. 4 2003 On uniqueness of distribution of a random variable whose independent copies span a subspace in \(L_p\). Zbl 1345.46020Astashkin, S.; Sukochev, F.; Zanin, D. 4 2015 Local Khinchin inequality in rearrangement invariant spaces. (Local Khintchine inequality in rearrangement invariant spaces.) Zbl 1350.46022Astashkin, Serguey V.; Curbera, Guillermo P. 4 2015 On cones of step functions in rearrangement invariant spaces. Zbl 0828.46019Astashkin, S. V. 4 1993 Rademacher chaos in symmetric spaces. Zbl 1054.46021Astashkin, S. V. 4 1998 Rademacher functions in weighted symmetric spaces. Zbl 1387.46028Astashkin, Sergey 4 2017 On extrapolation of rearrangement invariant spaces. Zbl 1245.46018Astashkin, S. V.; Lykov, K. V.; Mastyło, M. 4 2012 Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property. Zbl 1253.60058Astashkin, S. V.; Sukochev, F. A. 4 2011 Duality problem for disjointly homogeneous rearrangement invariant spaces. Zbl 1415.46020Astashkin, Sergey V. 4 2019 Isomorphic structure of Cesàro and Tandori spaces. Zbl 1430.46012Astashkin, Sergey V.; Lesnik, Karol; Maligranda, Lech 4 2019 Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness. Zbl 1443.46018Astashkin, Sergey V. 4 2019 A short proof of some recent results related to Cesàro function spaces. Zbl 1292.46008Astashkin, Sergey V.; Maligranda, Lech 4 2013 The Rademacher system in functional spaces. (Система радемахера в функциональных пространствах.) Zbl 1387.46002Astashkin, S. V. 3 2017 On the existence of RUC systems in rearrangement invariant spaces. Zbl 1355.46015Astashkin, Sergey V.; Curbera, Guillermo P.; Tikhomirov, Konstantin E. 3 2016 Rearrangement invariance of Rademacher multiplicator spaces. Zbl 1178.46024Astashkin, Serguei V.; Curbera, Guillermo P. 3 2009 Interpolation of Cesàro and Copson spaces. Zbl 1338.46034Astashkin, Sergey V.; Maligranda, Lech 3 2014 Khintchine inequality for sets of small measure. Zbl 1332.46036Astashkin, S. V. 3 2014 Fourier-Rademacher coefficients. Zbl 1084.42509Astashkin, S. V.; Semenov, E. M. 3 2000 Some new extrapolation estimates for the scale of \(L_p\)-spaces. Zbl 1051.46012Astashkin, S. V. 3 2003 On the multiplier of a rearrangement invariant space with respect to the tensor product. Zbl 0886.46026Astashkin, S. V. 3 1996 \(L_p +L_{\infty}\) and \(L_p \cap L_{\infty}\) are not isomorphic for all \(1 \leq p < \infty\), \(p \neq 2\). Zbl 1395.46014Astashkin, Sergey V.; Maligranda, Lech 3 2018 Geometrical properties of Banach spaces generated by sublinear operators. Zbl 1277.46005Astashkin, S. V. 3 2013 A probabilistic version of Rosenthal’s inequality. Zbl 1287.46022Astashkin, S. V.; Tikhomirov, K. E. 3 2013 Garsia-Rodemich spaces: local maximal functions and interpolation. Zbl 1457.46035Astashkin, Sergey; Milman, Mario 3 2020 Symmetric finite representability of \(\ell^p\)-spaces in rearrangement invariant spaces on \((0,\infty)\). Zbl 1507.46010Astashkin, Sergey V. 3 2022 On symmetric spaces containing isomorphic copies of Orlicz sequence spaces. Zbl 1416.46029Astashkin, Sergey 3 2016 Affine Walsh-type systems of functions in symmetric spaces. Zbl 1405.42058Astashkin, S. V.; Terekhin, P. A. 2 2018 Fourier–Rademacher coefficients of functions in rearrangement-invariant spaces. Zbl 0967.42016Astashkin, S. V. 2 2000 On a bilinear multiplicative operator. Zbl 0581.47041Astashkin, S. V. 2 1982 Lebesgue constants of the Walsh system. Zbl 1329.42026Astashkin, S. V.; Semenov, E. M. 2 2015 On certain properties of Rademacher chaos. Zbl 1285.42022Astashkin, S. V.; Sukhanov, R. S. 2 2012 A weighted Khintchine inequality. Zbl 1306.46025Astashkin, Sergey V.; Curbera, Guillermo P. 2 2014 Images of operators in rearrangement invariant spaces and interpolation. Zbl 1069.47016Astashkin, S. V. 2 2003 Vector-valued sums of independent functions in rearrangement invariant spaces. Zbl 1270.60010Astashkin, S. V. 2 2010 Interpolation of positive polylinear operators in Calderón-Lozanovskij spaces. Zbl 0944.46013Astashkin, S. V. 2 1997 Extraction of subsystems “majorized” by the Rademacher system. Zbl 0969.46021Astashkin, S. V. 2 1999 Lieb-Thirring inequality for \(L_p\) norms. Zbl 1159.46017Astashkin, S. V. 2 2008 Lack of isomorphic embeddings of symmetric function spaces into operator ideals. Zbl 1467.46025Astashkin, S.; Huang, J.; Sukochev, F. 2 2021 On series with respect to the Rademacher system in rearrangement invariant spaces “close” to \(L_\infty\). Zbl 0938.46028Astashkin, S. V. 2 1998 One property of functors of the real interpolation method. Zbl 0649.46061Astashkin, S. V. 2 1985 Jawerth-Milman extrapolation theory: some recent developments with applications. Zbl 1394.46013Astashkin, Sergey V.; Lykov, Konstantin V. 2 2017 Compact and strictly singular operators in rearrangement invariant spaces and Rademacher functions. Zbl 1480.46038Astashkin, Sergey V. 2 2021 New examples of \(K\)-monotone weighted Banach couples. Zbl 1292.46013Astashkin, Sergey V.; Maligranda, Lech; Tikhomirov, Konstantin E. 2 2013 Strict embeddings of rearrangement invariant spaces. Zbl 1409.46023Astashkin, S. V.; Semenov, E. M. 2 2018 Arazy-Cwikel property for quasi-Banach couples. Zbl 1503.46015Astashkin, Sergey V.; Nilsson, Per G. 2 2022 Some remarks about disjointly homogeneous symmetric spaces. Zbl 1441.46022Astashkin, Sergey V. 2 2019 Haar series and spaces determined by the Paley function. Zbl 1267.42031Astashkin, S. V.; Semenov, E. M. 2 2012 Functorial approach to interpolation of operators of weak type. Zbl 0744.41001Astashkin, S. V.; Ovchinnikov, V. I. 1 1991 Basis properties of affine Walsh systems in symmetric spaces. Zbl 1403.46026Astashkin, S. V.; Terekhin, P. A. 1 2018 A description of interpolation spaces for quasi-Banach couples by real \(K\)-method. Zbl 1516.46014Astashkin, Sergey V.; Nilsson, Per G. 1 2023 Symmetric finite representability of \(\ell^p\)-spaces in rearrangement invariant spaces on \((0,\infty)\). Zbl 1507.46010Astashkin, Sergey V. 3 2022 Arazy-Cwikel property for quasi-Banach couples. Zbl 1503.46015Astashkin, Sergey V.; Nilsson, Per G. 2 2022 The distribution of a random variable whose independent copies span \(\ell_M\) is unique. Zbl 1505.46027Astashkin, S.; Sukochev, F.; Zanin, D. 1 2022 Lack of isomorphic embeddings of symmetric function spaces into operator ideals. Zbl 1467.46025Astashkin, S.; Huang, J.; Sukochev, F. 2 2021 Compact and strictly singular operators in rearrangement invariant spaces and Rademacher functions. Zbl 1480.46038Astashkin, Sergey V. 2 2021 Extrapolation: stories and problems. Zbl 1486.46023Astashkin, Sergey; Milman, Mario 1 2021 On a property of rearrangement invariant spaces whose second Köthe dual is nonseparable. Zbl 1456.46024Astashkin, S. V.; Semenov, E. M. 5 2020 Garsia-Rodemich spaces: local maximal functions and interpolation. Zbl 1457.46035Astashkin, Sergey; Milman, Mario 3 2020 On disjointly homogeneous Orlicz-Lorentz spaces. Zbl 1467.46026Astashkin, S. V.; Strakhov, S. I. 1 2020 Representing systems of dilations and translations in symmetric function spaces. Zbl 1446.46011Astashkin, Sergey V.; Terekhin, Pavel A. 1 2020 Orthogonal elements in nonseparable rearrangement invariant spaces. Zbl 1487.46026Astashkin, S. V.; Semenov, E. M. 1 2020 The Rademacher system in function spaces. Zbl 1455.46001Astashkin, Sergey V. 1 2020 Limiting interpolation spaces via extrapolation. Zbl 1421.46023Astashkin, Sergey V.; Lykov, Konstantin V.; Milman, Mario 8 2019 Duality problem for disjointly homogeneous rearrangement invariant spaces. Zbl 1415.46020Astashkin, Sergey V. 4 2019 Isomorphic structure of Cesàro and Tandori spaces. Zbl 1430.46012Astashkin, Sergey V.; Lesnik, Karol; Maligranda, Lech 4 2019 Rearrangement invariant spaces satisfying Dunford-Pettis criterion of weak compactness. Zbl 1443.46018Astashkin, Sergey V. 4 2019 Some remarks about disjointly homogeneous symmetric spaces. Zbl 1441.46022Astashkin, Sergey V. 2 2019 Some properties of embeddings of rearrangement invariant spaces. Zbl 1464.46027Astashkin, Sergeĭ V.; Semenov, Evgeniĭ M. 1 2019 On symmetric spaces with convergence in measure on reflexive subspaces. Zbl 1407.46022Astashkin, S. V.; Strakhov, S. I. 5 2018 \(L_p +L_{\infty}\) and \(L_p \cap L_{\infty}\) are not isomorphic for all \(1 \leq p < \infty\), \(p \neq 2\). Zbl 1395.46014Astashkin, Sergey V.; Maligranda, Lech 3 2018 Affine Walsh-type systems of functions in symmetric spaces. Zbl 1405.42058Astashkin, S. V.; Terekhin, P. A. 2 2018 Strict embeddings of rearrangement invariant spaces. Zbl 1409.46023Astashkin, S. V.; Semenov, E. M. 2 2018 Basis properties of affine Walsh systems in symmetric spaces. Zbl 1403.46026Astashkin, S. V.; Terekhin, P. A. 1 2018 \(L_p + L_q\) and \(L_p \cap L_q\) are not isomorphic for all \(1 \leq p\), \(q\leq \infty\), \(p\neq q\). (\(L_{p} + L_{q}\) et \(L_p \cap L_q\) ne sont pas isomorphes pour tout \(1 \leq p\), \(q\leq \infty\), \(p\neq q\).) Zbl 1398.46008Astashkin, Sergey V.; Maligranda, Lech 1 2018 Sequences of dilations and translations in function spaces. Zbl 1381.47007Astashkin, Sergey V.; Terekhin, Pavel A. 1 2018 Rademacher functions in weighted symmetric spaces. Zbl 1387.46028Astashkin, Sergey 4 2017 The Rademacher system in functional spaces. (Система радемахера в функциональных пространствах.) Zbl 1387.46002Astashkin, S. V. 3 2017 Jawerth-Milman extrapolation theory: some recent developments with applications. Zbl 1394.46013Astashkin, Sergey V.; Lykov, Konstantin V. 2 2017 Lebesgue constants of the Walsh system and Banach limits. Zbl 1354.42047Astashkin, S. V.; Semenov, E. M. 5 2016 On the existence of RUC systems in rearrangement invariant spaces. Zbl 1355.46015Astashkin, Sergey V.; Curbera, Guillermo P.; Tikhomirov, Konstantin E. 3 2016 On symmetric spaces containing isomorphic copies of Orlicz sequence spaces. Zbl 1416.46029Astashkin, Sergey 3 2016 Rademacher functions in Nakano spaces. Zbl 1347.46009Astashkin, Sergey; Mastyło, Mieczysław 1 2016 Disjointly homogeneous rearrangement invariant spaces via interpolation. Zbl 1328.46022Astashkin, S. V. 6 2015 On uniqueness of distribution of a random variable whose independent copies span a subspace in \(L_p\). Zbl 1345.46020Astashkin, S.; Sukochev, F.; Zanin, D. 4 2015 Local Khinchin inequality in rearrangement invariant spaces. (Local Khintchine inequality in rearrangement invariant spaces.) Zbl 1350.46022Astashkin, Serguey V.; Curbera, Guillermo P. 4 2015 Lebesgue constants of the Walsh system. Zbl 1329.42026Astashkin, S. V.; Semenov, E. M. 2 2015 Structure of Rademacher subspaces in Cesàro type spaces. Zbl 1344.46022Astashkin, Sergey V.; Maligranda, Lech 1 2015 Structure of Cesàro function spaces: a survey. Zbl 1327.46028Astashkin, Sergey V.; Maligranda, Lech 27 2014 Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces. Zbl 1325.46031Astashkin, S. V.; Sukochev, F. A. 9 2014 \({\Lambda}(p)\)-spaces. Zbl 1319.46025Astashkin, S. V. 8 2014 Disjointification inequalities in symmetric quasi-Banach spaces and their applications. Zbl 1318.46014Astashkin, Sergey; Sukochev, Fedor A.; Zanin, Dmitriy 7 2014 Interpolation of Cesàro and Copson spaces. Zbl 1338.46034Astashkin, Sergey V.; Maligranda, Lech 3 2014 Khintchine inequality for sets of small measure. Zbl 1332.46036Astashkin, S. V. 3 2014 A weighted Khintchine inequality. Zbl 1306.46025Astashkin, Sergey V.; Curbera, Guillermo P. 2 2014 Martingale Rosenthal inequalities in symmetric spaces. Zbl 1321.46016Astashkin, S. V. 1 2014 Approximation of subspaces of symmetric spaces generated by independent functions. Zbl 1328.46013Astashkin, S. V. 1 2014 Interpolation of Cesàro sequence and function spaces. Zbl 1357.46023Astashkin, Sergey V.; Maligranda, Lech 7 2013 Distributionally concave symmetric spaces and uniqueness of symmetric structure. Zbl 1264.46019Astashkin, S. V.; Sukochev, F. A.; Wong, C. P. 6 2013 Spaces defined by the Paley function. Zbl 1287.46021Astashkin, S. V.; Semenov, E. M. 5 2013 A short proof of some recent results related to Cesàro function spaces. Zbl 1292.46008Astashkin, Sergey V.; Maligranda, Lech 4 2013 Geometrical properties of Banach spaces generated by sublinear operators. Zbl 1277.46005Astashkin, S. V. 3 2013 A probabilistic version of Rosenthal’s inequality. Zbl 1287.46022Astashkin, S. V.; Tikhomirov, K. E. 3 2013 New examples of \(K\)-monotone weighted Banach couples. Zbl 1292.46013Astashkin, Sergey V.; Maligranda, Lech; Tikhomirov, Konstantin E. 2 2013 On complementability of subspaces in symmetric spaces with the Kruglov property. Zbl 1278.46027Astashkin, S. V. 1 2013 Finite representability of \(\ell _{p}\)-spaces in symmetric spaces. Zbl 1245.46021Astashkin, S. V. 5 2012 On the geometric properties of Cesàro spaces. Zbl 1253.46022Astashkin, S. V. 5 2012 On extrapolation of rearrangement invariant spaces. Zbl 1245.46018Astashkin, S. V.; Lykov, K. V.; Mastyło, M. 4 2012 On certain properties of Rademacher chaos. Zbl 1285.42022Astashkin, S. V.; Sukhanov, R. S. 2 2012 Haar series and spaces determined by the Paley function. Zbl 1267.42031Astashkin, S. V.; Semenov, E. M. 2 2012 Extrapolation description of rearrangement invariant spaces and related problems. Zbl 1294.46024Astashkin, Sergey; Lykov, Konstantin 8 2011 Disjointification of martingale differences and conditionally independent random variables with some applications. Zbl 1238.46009Astashkin, Sergey; Sukochev, Fedor; Wong, Chin Pin 7 2011 Rademacher functions in BMO. Zbl 1242.46034Astashkin, Sergey V.; Leibov, Mikhail; Maligranda, Lech 6 2011 Geometry of Cesàro function spaces. Zbl 1271.46027Astashkin, S. V.; Maligranda, L. 5 2011 Rademacher series and isomorphisms of rearrangement invariant spaces on the finite interval and on the semi-axis. Zbl 1215.46013Astashkin, Sergey V. 4 2011 Symmetric quasi-norms of sums of independent random variables in symmetric function spaces with the Kruglov property. Zbl 1253.60058Astashkin, S. V.; Sukochev, F. A. 4 2011 Rademacher functions in symmetric spaces. Zbl 1229.46020Astashkin, S. V. 14 2010 Independent functions and the geometry of Banach spaces. Zbl 1219.46025Astashkin, S. V.; Sukochev, F. A. 13 2010 Best constants in Rosenthal-type inequalities and the Kruglov operator. Zbl 1211.46008Astashkin, S. V.; Sukochev, F. A. 8 2010 Rademacher functions in Cesàro type spaces. Zbl 1202.46031Astashkin, Sergei V.; Maligranda, Lech 8 2010 Vector-valued sums of independent functions in rearrangement invariant spaces. Zbl 1270.60010Astashkin, S. V. 2 2010 On the comparison of distribution functions of random variables. Zbl 1206.60021Astashkin, S. V. 1 2010 On stability of \(\mathcal{K}\)-monotonicity of Banach couples. Zbl 1202.46089Astashkin, Sergey V.; Tikhomirov, Konstantin E. 1 2010 Structure of Cesàro function spaces. Zbl 1200.46027Astashkin, Sergei V.; Maligranda, Lech 37 2009 Strictly singular inclusions of rearrangement invariant spaces and Rademacher spaces. Zbl 1185.46016Astashkin, Sergei V.; Hernández, Francisco L.; Semenov, Evgeni M. 12 2009 Strong extrapolation spaces and interpolation. Zbl 1224.46038Astashkin, S. V.; Lykov, K. V. 11 2009 Rearrangement invariance of Rademacher multiplicator spaces. Zbl 1178.46024Astashkin, Serguei V.; Curbera, Guillermo P. 3 2009 Kruglov operator and operators defined by random permutations. Zbl 1271.47021Astashkin, S. V.; Zanin, D. V.; Semenov, E. M.; Sukochev, F. A. 1 2009 Cesaro mean convergence of martingale differences in rearrangement invariant spaces. Zbl 1160.46020Astashkin, Sergey V.; Kalton, Nigel; Sukochev, Fyodor A. 17 2008 Cesàro function spaces fail the fixed point property. Zbl 1168.46014Astashkin, Sergei V.; Maligranda, Lech 16 2008 Independent functions in rearrangement invariant spaces and the Kruglov property. Zbl 1280.46015Astashkin, S. V. 6 2008 Rademacher multiplicator spaces equal to \(L^\infty \). Zbl 1160.46021Astashkin, Serguei V.; Curbera, Guillermo P. 5 2008 Real method of interpolation on subcouples of codimension one. Zbl 1144.46018Astashkin, S. V.; Sunehag, P. 5 2008 Sequences of independent identically distributed functions in rearrangement invariant spaces. Zbl 1144.46025Astashkin, S. V.; Sukochev, F. A. 5 2008 Ultrasymmetric Orlicz spaces. Zbl 1170.46029Astashkin, Sergei V.; Maligranda, Lech 4 2008 Lieb-Thirring inequality for \(L_p\) norms. Zbl 1159.46017Astashkin, S. V. 2 2008 A generalized Khintchine inequality in rearrangement invariant spaces. Zbl 1167.46019Astashkin, S. V. 1 2008 Banach-Saks property in Marcinkiewicz spaces. Zbl 1126.46005Astashkin, S. V.; Sukochev, F. A. 14 2007 On the normability of Marcinkiewicz classes. Zbl 1143.46009Astashkin, S. V. 1 2007 Extrapolatory description for the Lorentz and Marcinkiewicz spaces “close” to \(L_\infty\). Zbl 1150.46311Astashkin, S. V.; Lykov, K. V. 15 2006 Sums of independent functions in symmetric spaces with the Kruglov property. Zbl 1122.46014Astashkin, S. V.; Sukochev, F. A. 1 2006 Series of independent random variables in rearrangement invariant spaces: an operator approach. Zbl 1084.46020Astashkin, S. V.; Sukochev, F. A. 26 2005 The Banach–Saks \(p\)-property. Zbl 1083.46014Astashkin, S. V.; Semenov, E. M.; Sukochev, F. A. 12 2005 Extrapolation functors on a family of scales generated by the real interpolation method. Zbl 1107.46017Astashkin, S. V. 8 2005 Symmetric kernel of Rademacher multiplicator spaces. Zbl 1083.46015Astashkin, Serguei V.; Curbera, Guillermo P. 7 2005 Interpolation between \(L_{1}\) and \(L_{p}\), \(1<p<\infty\). Zbl 1054.46017Astashkin, Sergei V.; Maligranda, Lech 11 2004 Comparison of sums of independent and disjoint functions in symmetric spaces. Zbl 1076.46020Astashkin, S. V.; Sukochev, F. A. 8 2004 On the multiplier space generated by the Rademacher system. Zbl 1115.46024Astashkin, S. V. 6 2004 Multiplicator space and complemented subspaces of rearrangement invariant space. Zbl 1040.46025Astashkin, S. V.; Maligranda, L.; Semenov, E. M. 8 2003 Extrapolation properties of the scale of \(L_p\)-spaces. Zbl 1088.46011Astashkin, S. V. 4 2003 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 201 Authors 102 Astashkin, Sergeĭ Vladimir 43 Sukochev, Fedor Anatol’evich 22 Semënov, Evgeniĭ Mikhaĭlovich 19 Maligranda, Lech 13 Zanin, Dmitriy V. 12 Curbera, Guillermo P. 9 Huang, Jinghao 8 Jiao, Yong 8 Kolwicz, Paweł 8 Leśnik, Karol 8 Ricker, Werner Joseph 8 Terekhin, Pavel Aleksandrovich 7 Hernández Rodriguez, Francisco L. 7 Lykov, Konstantin Vladimirovich 7 Mastyło, Mieczysław 6 Fernández-Martínez, Pedro 6 Kiwerski, Tomasz 5 Milman, Mario Marcos 5 Strakhov, Stepan Igorevich 4 Bonet Solves, José 4 Pliev, Marat Amurkhanovich 4 Signes, Teresa M. 4 Tikhomirov, Konstantin E. 4 Tradacete Pérez, Pedro 4 Usachev, Aleksandr Sergeevich 4 Zhou, Dejian 3 Berezhnoĭ, Evgeniĭ Ivanovich 3 Cui, Yunan 3 Fiorenza, Alberto 3 Flores, Julio Rolando 3 Nilsson, Per G. 3 Ruiz, César 3 Sánchez, Víctor M. 3 Stepanov, Vladimir Dmitrievich 3 Wu, Lian 2 Abuelwafa, Maryam M. 2 Barseghyan, Diana 2 Bikchentaev, Aĭrat Midkhatovich 2 Carrillo-Alanís, Javier 2 Cwikel, Michael 2 de Pagter, Bernardus 2 Dominguez, Oscar 2 Foralewski, Paweł 2 Formica, Maria Rosaria 2 Gao, Niushan 2 Gogatishvili, Amiran 2 Ho, Kwok-Pun 2 Kalton, Nigel John 2 Kamińska, Anna 2 Kikuchi, Masato 2 Kończak, Joanna 2 Kurakin, Leonid Gennadievich 2 Leung, Denny H. 2 Liu, Chuntai 2 Lopez-Abad, Jordi 2 Nezir, Veysel 2 Novikova, A. I. 2 Nursultanov, Erlan D. 2 Pick, Luboš 2 Raynaud, Yves 2 Sadovskaya, Olga 2 Saker, Samir H. 2 Sánchez-Pérez, Enrique Alfonso 2 Semenov, Evgueni M. 2 Sukhanov, R. S. 2 Tantrawan, Made 2 Tomaszewski, Jakub 2 Tulenov, Kanat Serikovich 2 Ünver, Tuğçe 2 Xie, Guangheng 1 Abrahamsen, Trond Arnold 1 Agarwal, Ravi P. 1 Alam, Ihab Al 1 Albanese, Angela Anna 1 Alekhno, Egor Aleksandrovich 1 Antipov, Mikhaylo 1 Asekritova, Irina U. 1 Avdeev, Nikolaĭ Nikolaevich 1 Băleanu, Dumitru I. 1 Barza, Sorina 1 Ber, Aleksey Feliksovich 1 Bilgiçli, Nevin 1 Boche, Holger 1 Bueno-Contreras, J. 1 Cadilhac, Léonard 1 Calabuig, José Manuel 1 Chen, Yanni 1 Cheng, Lixin 1 Cheng, Qingjin 1 Cherkashin, Danila D. 1 Chill, Ralph 1 Chumachenko, Sergeĭ Alekseevich 1 da Silva, Eduardo Brandani 1 Delgado, Olvido 1 Demiriz, Serkan 1 Di Fratta, Giovanni 1 Dirksen, Sjoerd 1 Dodds, Peter G. 1 Erdoğan, Ezgi 1 Fang, Lulu ...and 101 more Authors all top 5 Cited in 80 Serials 30 Journal of Functional Analysis 26 Journal of Mathematical Analysis and Applications 20 Mathematical Notes 18 Positivity 13 Siberian Mathematical Journal 12 Proceedings of the American Mathematical Society 9 Functional Analysis and its Applications 8 Studia Mathematica 7 St. Petersburg Mathematical Journal 7 Doklady Mathematics 6 Mathematische Zeitschrift 5 Indagationes Mathematicae. 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(English Edition) 1 Communications on Pure and Applied Analysis 1 Journal of Fixed Point Theory and Applications 1 Differential Equations and Applications 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Bulletin of Mathematical Sciences 1 Journal of Function Spaces 1 Advances in Operator Theory all top 5 Cited in 21 Fields 251 Functional analysis (46-XX) 70 Operator theory (47-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 28 Probability theory and stochastic processes (60-XX) 18 Real functions (26-XX) 8 Integral transforms, operational calculus (44-XX) 6 Measure and integration (28-XX) 5 Sequences, series, summability (40-XX) 4 Approximations and expansions (41-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Abstract harmonic analysis (43-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year