Edit Profile (opens in new tab) Ivanisvili, Paata Co-Author Distance Author ID: ivanisvili.paata Published as: Ivanisvili, Paata; Ivanisvili, P. Documents Indexed: 45 Publications since 2015, including 1 Book and 13 Additional arXiv Preprints Co-Authors: 34 Co-Authors with 40 Joint Publications 803 Co-Co-Authors all top 5 Co-Authors 5 single-authored 15 Volberg, Alexander Lvovich 5 Eskenazis, Alexandros 4 Nazarov, Fedor L. 4 Stolyarov, Dmitry M. 4 Vasyunin, Vasiliĭ Ivanovich 4 Zatitskii, Pavel B. 3 Madrid, José A. Jiménez 2 de Dios Pont, Jaume 2 Frank, Rupert L. 2 Osipov, Nikolay N. 2 Treil, Sergei 2 van Handel, Ramon 1 Barthe, Franck 1 Beltran, David 1 Carlen, Eric Anders 1 Domelevo, Komla 1 Greenfeld, Rachel 1 Holmes, Irina 1 Jaye, Benjamin J. 1 Klein, Ohad 1 Li, Dong 1 Lieb, Elliott Hershel 1 Lindenberger, Alexander 1 Mooney, Connor 1 Mozolyako, Pavel A. 1 Müller, Paul F. X. 1 Petermichl, Stefanie 1 Russell, Ryan P. 1 Schmuckenschläger, Michael 1 Stone, Yonathan 1 Streck, Lauritz 1 Tkocz, Tomasz 1 Vershynin, Roman 1 Zbarsky, Samuel all top 5 Serials 4 Analysis & PDE 3 Revista Matemática Iberoamericana 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 1 Israel Journal of Mathematics 1 Studia Mathematica 1 Arkiv för Matematik 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Probability Theory and Related Fields 1 The Journal of Geometric Analysis 1 The Electronic Journal of Combinatorics 1 Annals of Mathematics. Second Series 1 Advances in Calculus of Variations 1 Discrete Analysis all top 5 Fields 32 Harmonic analysis on Euclidean spaces (42-XX) 17 Operator theory (47-XX) 12 Probability theory and stochastic processes (60-XX) 7 Real functions (26-XX) 7 Functional analysis (46-XX) 6 Convex and discrete geometry (52-XX) 4 Partial differential equations (35-XX) 4 Approximations and expansions (41-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 117 times in 75 Documents Cited by ▼ Year ▼ Bellman function for extremal problems in BMO. Zbl 1346.42003 Ivanisvili, Paata; Osipov, Nikolay N.; Stolyarov, Dmitriy M.; Vasyunin, Vasily I.; Zatitskiy, Pavel B. 24 2016 Sharp estimates of integral functionals on classes of functions with small mean oscillation. (Estimations précises de certaines fonctionnelles intégrales sur des classes de fonctions avec une petite oscillation moyenne.) Zbl 1338.42031 Ivanisvili, Paata; Osipov, Nikolay N.; Stolyarov, Dmitriy M.; Vasyunin, Vasily I.; Zatitskiy, Pavel B. 11 2015 Hessian of Bellman functions and uniqueness of the Brascamp-Lieb inequality. Zbl 1395.42061 Ivanisvili, P.; Volberg, A. 11 2015 Rademacher type and Enflo type coincide. Zbl 1458.46012 Ivanisvili, Paata; van Handel, Ramon; Volberg, Alexander 8 2020 On the failure of lower square function estimates in the non-homogeneous weighted setting. Zbl 1428.42028 Domelevo, K.; Ivanisvili, P.; Petermichl, S.; Treil, S.; Volberg, A. 6 2019 Polynomial inequalities on the Hamming cube. Zbl 1447.42029 Eskenazis, Alexandros; Ivanisvili, Paata 5 2020 Bellman function for extremal problems in BMO. II: Evolution. Zbl 1405.42046 Ivanisvili, Paata; Stolyarov, Dmitriy M.; Vasyunin, Vasily I.; Zatitskiy, Pavel B. 5 2018 Improving Beckner’s bound via Hermite functions. Zbl 1364.42029 Ivanisvili, Paata; Volberg, Alexander 4 2017 Inequality for Burkholder’s martingale transform. Zbl 1341.60031 Ivanisvili, Paata 4 2015 Hamming cube and martingales. (Cube de Hamming et martingales.) Zbl 1379.42009 Ivanisvili, Paata; Nazarov, Fedor; Volberg, Alexander 3 2017 Comparison of moments of Rademacher chaoses. Zbl 1425.42032 Ivanisvili, Paata; Tkocz, Tomasz 3 2019 Inequalities for \(L^p\)-norms that sharpen the triangle inequality and complement Hanner’s inequality. Zbl 1475.46028 Carlen, Eric A.; Frank, Rupert L.; Ivanisvili, Paata; Lieb, Elliott H. 3 2021 Hypercontractivity of the semigroup of the fractional Laplacian on the \(n\)-sphere. Zbl 1472.39048 Frank, Rupert L.; Ivanisvili, Paata 3 2021 Square functions and the Hamming cube: duality. Zbl 1404.42027 Ivanisvili, Paata; Nazarov, Fedor; Volberg, Alexander 3 2018 Lower bounds for uncentered maximal functions in any dimension. Zbl 1405.42033 Ivanisvili, Paata; Jaye, Benjamin; Nazarov, Fedor 3 2017 Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach. Zbl 1405.42023 Ivanisvili, Paata; Volberg, Alexander 3 2018 Bellman function approach to the sharp constants in uniform convexity. Zbl 1381.28004 Ivanisvili, Paata 2 2018 On Weissler’s conjecture on the Hamming cube. I. Zbl 1487.42069 Ivanisvili, P.; Nazarov, F. 2 2022 The sharp constant in the weak (1,1) inequality for the square function: a new proof. Zbl 1444.42012 Holmes, Irina; Ivanisvili, Paata; Volberg, Alexander 2 2020 Dimension independent Bernstein-Markov inequalities in Gauss space. Zbl 1478.41001 Eskenazis, Alexandros; Ivanisvili, Paata 2 2020 Poincaré inequality 3/2 on the Hamming cube. Zbl 1437.42036 Ivanisvili, Paata; Volberg, Alexander 2 2020 Centered Hardy-Littlewood maximal operator on the real line: lower bounds. (Fonction maximale centrée de Hardy-Littlewood : bornes inférieures.) Zbl 1416.42020 Ivanisvili, Paata; Zbarsky, Samuel 2 2019 Superexponential estimates and weighted lower bounds for the square function. Zbl 1417.42017 Ivanisvili, Paata; Treil, Sergei 2 2019 Sharpening the triangle inequality: envelopes between \(L^2\) and \(L^p\) spaces. Zbl 1451.42022 Ivanisvili, Paata; Mooney, Connor 1 2020 From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity. Zbl 1415.42007 Ivanisvili, P.; Volberg, A. 1 2019 Sharp growth of the Ornstein-Uhlenbeck operator on Gaussian tail spaces. Zbl 1528.41025 Eskenazis, Alexandros; Ivanisvili, Paata 1 2023 A boundary value problem and the Ehrhard inequality. Zbl 1415.42022 Ivanisvili, Paata 1 2019 Sharp growth of the Ornstein-Uhlenbeck operator on Gaussian tail spaces. Zbl 1528.41025 Eskenazis, Alexandros; Ivanisvili, Paata 1 2023 On Weissler’s conjecture on the Hamming cube. I. Zbl 1487.42069 Ivanisvili, P.; Nazarov, F. 2 2022 Inequalities for \(L^p\)-norms that sharpen the triangle inequality and complement Hanner’s inequality. Zbl 1475.46028 Carlen, Eric A.; Frank, Rupert L.; Ivanisvili, Paata; Lieb, Elliott H. 3 2021 Hypercontractivity of the semigroup of the fractional Laplacian on the \(n\)-sphere. Zbl 1472.39048 Frank, Rupert L.; Ivanisvili, Paata 3 2021 Rademacher type and Enflo type coincide. Zbl 1458.46012 Ivanisvili, Paata; van Handel, Ramon; Volberg, Alexander 8 2020 Polynomial inequalities on the Hamming cube. Zbl 1447.42029 Eskenazis, Alexandros; Ivanisvili, Paata 5 2020 The sharp constant in the weak (1,1) inequality for the square function: a new proof. Zbl 1444.42012 Holmes, Irina; Ivanisvili, Paata; Volberg, Alexander 2 2020 Dimension independent Bernstein-Markov inequalities in Gauss space. Zbl 1478.41001 Eskenazis, Alexandros; Ivanisvili, Paata 2 2020 Poincaré inequality 3/2 on the Hamming cube. Zbl 1437.42036 Ivanisvili, Paata; Volberg, Alexander 2 2020 Sharpening the triangle inequality: envelopes between \(L^2\) and \(L^p\) spaces. Zbl 1451.42022 Ivanisvili, Paata; Mooney, Connor 1 2020 On the failure of lower square function estimates in the non-homogeneous weighted setting. Zbl 1428.42028 Domelevo, K.; Ivanisvili, P.; Petermichl, S.; Treil, S.; Volberg, A. 6 2019 Comparison of moments of Rademacher chaoses. Zbl 1425.42032 Ivanisvili, Paata; Tkocz, Tomasz 3 2019 Centered Hardy-Littlewood maximal operator on the real line: lower bounds. (Fonction maximale centrée de Hardy-Littlewood : bornes inférieures.) Zbl 1416.42020 Ivanisvili, Paata; Zbarsky, Samuel 2 2019 Superexponential estimates and weighted lower bounds for the square function. Zbl 1417.42017 Ivanisvili, Paata; Treil, Sergei 2 2019 From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity. Zbl 1415.42007 Ivanisvili, P.; Volberg, A. 1 2019 A boundary value problem and the Ehrhard inequality. Zbl 1415.42022 Ivanisvili, Paata 1 2019 Bellman function for extremal problems in BMO. II: Evolution. Zbl 1405.42046 Ivanisvili, Paata; Stolyarov, Dmitriy M.; Vasyunin, Vasily I.; Zatitskiy, Pavel B. 5 2018 Square functions and the Hamming cube: duality. Zbl 1404.42027 Ivanisvili, Paata; Nazarov, Fedor; Volberg, Alexander 3 2018 Isoperimetric functional inequalities via the maximum principle: the exterior differential systems approach. Zbl 1405.42023 Ivanisvili, Paata; Volberg, Alexander 3 2018 Bellman function approach to the sharp constants in uniform convexity. Zbl 1381.28004 Ivanisvili, Paata 2 2018 Improving Beckner’s bound via Hermite functions. Zbl 1364.42029 Ivanisvili, Paata; Volberg, Alexander 4 2017 Hamming cube and martingales. (Cube de Hamming et martingales.) Zbl 1379.42009 Ivanisvili, Paata; Nazarov, Fedor; Volberg, Alexander 3 2017 Lower bounds for uncentered maximal functions in any dimension. Zbl 1405.42033 Ivanisvili, Paata; Jaye, Benjamin; Nazarov, Fedor 3 2017 Bellman function for extremal problems in BMO. Zbl 1346.42003 Ivanisvili, Paata; Osipov, Nikolay N.; Stolyarov, Dmitriy M.; Vasyunin, Vasily I.; Zatitskiy, Pavel B. 24 2016 Sharp estimates of integral functionals on classes of functions with small mean oscillation. (Estimations précises de certaines fonctionnelles intégrales sur des classes de fonctions avec une petite oscillation moyenne.) Zbl 1338.42031 Ivanisvili, Paata; Osipov, Nikolay N.; Stolyarov, Dmitriy M.; Vasyunin, Vasily I.; Zatitskiy, Pavel B. 11 2015 Hessian of Bellman functions and uniqueness of the Brascamp-Lieb inequality. Zbl 1395.42061 Ivanisvili, P.; Volberg, A. 11 2015 Inequality for Burkholder’s martingale transform. Zbl 1341.60031 Ivanisvili, Paata 4 2015 all cited Publications top 5 cited Publications all top 5 Cited by 70 Authors 17 Ivanisvili, Paata 11 Zatitskii, Pavel B. 9 Stolyarov, Dmitry M. 9 Vasyunin, Vasiliĭ Ivanovich 8 Osękowski, Adam 8 Volberg, Alexander Lvovich 6 Eskenazis, Alexandros 4 Nikolidakis, Eleftherios Nikolaos 3 Slavin, Leonid 3 Treil, Sergei 3 Zlotnikov, Ilya K. 2 Cordero-Erausquin, Dario 2 Delgado, Julio 2 Li, Kangwei 2 Martikainen, Henri 2 Melas, Antonios D. 2 Paouris, Grigoris 2 Valettas, Petros 2 van Handel, Ramon 2 Vuorinen, Emil 2 Zbarsky, Samuel 1 Bačák, Miroslav 1 Bennett, Jonathan M. 1 Bez, Neal 1 Borovitskiĭ, Vyacheslav A. 1 Brandolini, Barbara 1 Carando, Daniel G. 1 Cardona, Duván 1 Carlen, Eric Anders 1 Catrina, Florin 1 Domelevo, Komla 1 Edmunds, David Eric 1 Enflo, Per Henrik 1 Erdélyi, Tamás 1 Frank, Rupert L. 1 Gałązka, Tomasz 1 Hedenmalm, Håkan 1 Henrot, Antoine 1 Holmes, Irina 1 Huang, Yi C. 1 Ivanishvili, Paata 1 Kakaroumpas, Spyridon 1 Kamiński, Łukasz 1 Lang, Jan 1 Lieb, Elliott Hershel 1 Marceca, Felipe 1 Martell, José María (Chema) 1 Mercaldo, Anna 1 Mooney, Connor 1 Moslehian, Mohammad Sal 1 Naor, Assaf 1 Nazarov, Fedor L. 1 Neeman, Joe 1 Novikov, M. I. 1 Ombrosi, Sheldy Javier 1 Osipov, Nikolay N. 1 Pérez Lázaro, Francisco Javier 1 Petermichl, Stefanie 1 Posteraro, Maria Rosaria 1 Russell, Ryan P. 1 Ruzhansky, Michael V. 1 Samorodnitsky, Alex 1 Satomi, Takashi 1 Seoane-Sepúlveda, Juan Benigno 1 Sevilla-Peris, Pablo 1 Shenfeld, Yair 1 Skorski, Maciej 1 Stan, Aurel Iulian 1 Tselishchev, Anton 1 Zhang, Haonan all top 5 Cited in 42 Serials 5 Journal of Mathematical Analysis and Applications 5 Advances in Mathematics 5 The Journal of Geometric Analysis 4 Transactions of the American Mathematical Society 4 St. Petersburg Mathematical Journal 4 Analysis & PDE 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Israel Journal of Mathematics 2 Archiv der Mathematik 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Probability Theory and Related Fields 1 Journal d’Analyse Mathématique 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Canadian Mathematical Bulletin 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Approximation Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Statistics & Probability Letters 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Mathematical Sciences (New York) 1 The Electronic Journal of Combinatorics 1 Bernoulli 1 Positivity 1 Journal of Evolution Equations 1 Advances in Calculus of Variations 1 Japanese Journal of Mathematics. 3rd Series 1 Transactions of A. Razmadze Mathematical Institute 1 British Journal for the History of Mathematics all top 5 Cited in 23 Fields 48 Harmonic analysis on Euclidean spaces (42-XX) 25 Functional analysis (46-XX) 21 Probability theory and stochastic processes (60-XX) 12 Operator theory (47-XX) 10 Real functions (26-XX) 10 Convex and discrete geometry (52-XX) 9 Partial differential equations (35-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 4 Measure and integration (28-XX) 4 Special functions (33-XX) 4 Approximations and expansions (41-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year