Edit Profile (opens in new tab) Müller, Paul F. X. Co-Author Distance Author ID: muller.paul-f-x Published as: Müller, Paul F. X.; Müller, P. F. X.; Müller, Paul; Müller, Paul F. more...less Homepage: http://www.jku.at/analysis/content/e83758/index_html?team_view=section&t=1&emp=e... External Links: Wikidata · GND · IdRef Documents Indexed: 68 Publications since 1986, including 2 Books and 11 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 24 Co-Authors with 35 Joint Publications 559 Co-Co-Authors all top 5 Co-Authors 31 single-authored 6 Lechner, Richard 4 Kamont, Anna 4 Motakis, Pavlos 4 Schlumprecht, Thomas 3 Geiss, Stefan 3 Jones, Peter Wilcox 3 Schechtman, Gideon 2 Elie, Romuald 2 Geist, Matthieu 2 Girgin, Sertan 2 Laurière, Mathieu 2 Lindenberger, Alexander 2 Müller, Stefan 2 Passenbrunner, Markus 2 Penteker, Johanna 2 Perolat, Julien 2 Perrin, Sarah 2 Pietquin, Olivier 2 Riegler, Katharina 2 Schmuckenschläger, Michael 1 Arias, Alvaro 1 Belot, Michèle 1 Bishop, Alan Reginald 1 Cabannes, Theophile 1 Gotzhein, Reinhard 1 Ivanisvili, Paata 1 Jain, Ayush 1 Kazaniecki, Krystian 1 Kircher, Philipp 1 Kirchheim, Bernd 1 Laustsen, Niels Jakob 1 Lee, Jihoon 1 Mertens, Franz G. 1 Morales Molina, Luis 1 Piliouras, Georgios 1 Pillwein, Veronika 1 Sánchez, Angel 1 Schachermayer, Walter 1 Schmidt, V. V. 1 Schmitt, Jens Burkhard 1 Ustinov, Alekseĭ Vladimirovich 1 Yuditskii, Peter Meerovich all top 5 Serials 6 Israel Journal of Mathematics 6 Studia Mathematica 4 Mathematical Proceedings of the Cambridge Philosophical Society 3 Proceedings of the American Mathematical Society 2 Bulletin of the London Mathematical Society 2 Colloquium Mathematicum 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Revista Matemática Iberoamericana 2 Acta Mathematica Universitatis Comenianae. New Series 2 Geometric and Functional Analysis. GAFA 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Arkiv för Matematik 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 The Review of Economic Studies 1 Communications in Partial Differential Equations 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Mathematical Research Letters 1 The Quarterly Journal of Mathematics 1 London Mathematical Society Lecture Note Series 1 Monografie Matematyczne. Instytut Matematyczny PAN. New Series 1 New Mathematical Monographs 1 Forum of Mathematics, Sigma all top 5 Fields 43 Functional analysis (46-XX) 25 Probability theory and stochastic processes (60-XX) 15 Functions of a complex variable (30-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Potential theory (31-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 150 times in 70 Documents Cited by ▼ Year ▼ Isomorphisms between \(H^1\) spaces. Zbl 1089.42001 Müller, Paul F. X. 22 2005 Factorization of the identity through operators with large diagonal. Zbl 1447.47022 Laustsen, Niels Jakob; Lechner, Richard; Müller, Paul F. X. 11 2018 On projections in \(H^ 1\) and BMO. Zbl 0677.46010 Müller, Paul F. X. 11 1988 Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009 Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan 10 2011 Conditioned Brownian motion and multipliers into \(SL^\infty\). Zbl 1059.43002 Jones, P. W.; Müller, P. F. X. 9 2004 Localization and projections on bi-parameter BMO. Zbl 1344.46024 Lechner, Richard; Müller, Paul F. X. 7 2015 Two remarks on primary spaces. Zbl 1258.46003 Müller, Paul F. X. 6 2012 A decomposition for Hardy martingales. Zbl 1288.60053 Müller, Paul F. X. 6 2012 Strategically reproducible bases and the factorization property. Zbl 1452.46009 Lechner, Richard; Motakis, Pavlos; Müller, Paul F. X.; Schlumprecht, Thomas 6 2020 Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces. Zbl 0723.46029 Müller, Paul F. X.; Schechtman, Gideon 5 1991 Orthogonal projections on martingale \(H^ 1\) spaces of two parameters. Zbl 0824.46027 Müller, Paul F. X. 5 1994 On sequences of the Haar basis in \(H^ 1(\delta)\) and isomorphism between \(H^ 1\)-spaces. Zbl 0636.46011 Müller, Paul F. X. 4 1986 A martingale approach to general Franklin systems. Zbl 1131.60032 Kamont, Anna; Müller, Paul F. X. 4 2006 The factorisation property of \(\ell^\infty(X_k)\). Zbl 1483.46014 Lechner, Richard; Motakis, Pavlos; Müller, Paul F. X.; Schlumprecht, Thomas 4 2021 A remark on extrapolation of rearrangement operators on dyadic \(H^s\), \(0 < s \leq 1\). Zbl 1092.46014 Geiss, Stefan; Müller, Paul F. X.; Pillwein, Veronika 3 2005 A decomposition for Hardy martingales. II. Zbl 1311.60047 Müller, Paul F. X. 3 2014 Holomorphic martingales and interpolation between Hardy spaces. Zbl 0796.60051 Müller, Paul F. X. 3 1993 Almost everywhere convergence of spline sequences. Zbl 1462.46012 Müller, Paul F. X.; Passenbrunner, Markus 3 2020 Bounded plateau and Weierstrass martingales with infinite variation in each direction. Zbl 1059.30503 Müller, P. F. X. 2 1999 On the span of some three valued martingale difference sequences in \(L^ p\) \((1<p<\infty)\) and \(H^ 1\). Zbl 0656.46011 Müller, Paul F. X. 2 1987 Radial variation of Bloch functions. Zbl 0882.30020 Jones, Peter W.; Müller, Paul F. X. 2 1997 The physics of superconductors. Introduction to fundamentals and applications. Transl. from the Russian by I. V. Grigorieva. Ed. by P. Müller and A. V. Ustinov. Rev. ed. Zbl 0919.00007 Schmidt, V. V. 2 1997 A remarkable rearrangement of the Haar system in \(L_{p}\). Zbl 0883.46021 Müller, Paul F. X.; Schechtman, Gideon 2 1997 Rearrangements of the Haar system that preserve BMO. Zbl 0921.42018 Müller, Paul F. X. 2 1997 On linear topological properties of \(H^ 1\) on spaces of homogeneous type. Zbl 0694.46027 Müller, Paul F. 2 1990 A family of complemented subspaces in VMO and its isomorphic classification. Zbl 1061.46030 Müller, Paul F. X. 2 2003 \(p\)-summing multiplication operators, dyadic Hardy spaces and atomic decomposition. Zbl 1358.42017 Müller, Paul F. X.; Penteker, Johanna 1 2015 On complemented subspaces of \(H^ 1\) and VMO. Zbl 0687.46014 Müller, Paul F. X.; Schechtman, Gideon 1 1989 Classification of the isomorphic types of martingale-\(H^ 1\) spaces. Zbl 0649.46048 Müller, Paul F. X. 1 1987 On subspaces of \(H^ 1\) isomorphic to \(H^ 1\). Zbl 0653.46054 Müller, Paul F. X. 1 1988 A local version of a result of Gamlen and Gaudet. Zbl 0661.46017 Müller, Paul F. X. 1 1988 Holomorphic martingales and interpolation between Hardy spaces: The complex method. Zbl 0829.60037 Müller, Paul F. X. 1 1995 The Banach space \(H^ 1 (X, d, \mu)\). I. Zbl 0835.46047 Müller, Paul F. X. 1 1995 The Banach space \(H^ 1 (X, d,\mu)\). II. Zbl 0835.46048 Müller, Paul F. X. 1 1995 Similarity of nests in \(L_ p\), \(1\leq p\neq 2< \infty\). Zbl 0839.47028 Arias, Alvaro; Müller, Paul 1 1995 Extrapolation of vector-valued rearrangement operators. II. Zbl 1254.46020 Müller, Paul F. X. 1 2012 Extrapolation of vector-valued rearrangement operators. Zbl 1190.46016 Geiss, Stefan; Müller, Paul F. X. 1 2009 A decomposition theorem for singular integral operators on spaces of homogeneous type. Zbl 1241.42013 Müller, Paul F. X.; Passenbrunner, Markus 1 2012 Rearrangements with supporting trees, isomorphisms and shift operators. Zbl 1287.46015 Kamont, Anna; Müller, Paul F. X. 1 2013 The space \(L_1(L_p)\) is primary for \(1<p<\infty\). Zbl 1495.46013 Lechner, Richard; Motakis, Pavlos; Müller, Paul F. X.; Schlumprecht, Thomas 1 2022 The space \(L_1(L_p)\) is primary for \(1<p<\infty\). Zbl 1495.46013 Lechner, Richard; Motakis, Pavlos; Müller, Paul F. X.; Schlumprecht, Thomas 1 2022 The factorisation property of \(\ell^\infty(X_k)\). Zbl 1483.46014 Lechner, Richard; Motakis, Pavlos; Müller, Paul F. X.; Schlumprecht, Thomas 4 2021 Strategically reproducible bases and the factorization property. Zbl 1452.46009 Lechner, Richard; Motakis, Pavlos; Müller, Paul F. X.; Schlumprecht, Thomas 6 2020 Almost everywhere convergence of spline sequences. Zbl 1462.46012 Müller, Paul F. X.; Passenbrunner, Markus 3 2020 Factorization of the identity through operators with large diagonal. Zbl 1447.47022 Laustsen, Niels Jakob; Lechner, Richard; Müller, Paul F. X. 11 2018 Localization and projections on bi-parameter BMO. Zbl 1344.46024 Lechner, Richard; Müller, Paul F. X. 7 2015 \(p\)-summing multiplication operators, dyadic Hardy spaces and atomic decomposition. Zbl 1358.42017 Müller, Paul F. X.; Penteker, Johanna 1 2015 A decomposition for Hardy martingales. II. Zbl 1311.60047 Müller, Paul F. X. 3 2014 Rearrangements with supporting trees, isomorphisms and shift operators. Zbl 1287.46015 Kamont, Anna; Müller, Paul F. X. 1 2013 Two remarks on primary spaces. Zbl 1258.46003 Müller, Paul F. X. 6 2012 A decomposition for Hardy martingales. Zbl 1288.60053 Müller, Paul F. X. 6 2012 Extrapolation of vector-valued rearrangement operators. II. Zbl 1254.46020 Müller, Paul F. X. 1 2012 A decomposition theorem for singular integral operators on spaces of homogeneous type. Zbl 1241.42013 Müller, Paul F. X.; Passenbrunner, Markus 1 2012 Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections. Zbl 1230.49009 Lee, Jihoon; Müller, Paul F. X.; Müller, Stefan 10 2011 Extrapolation of vector-valued rearrangement operators. Zbl 1190.46016 Geiss, Stefan; Müller, Paul F. X. 1 2009 A martingale approach to general Franklin systems. Zbl 1131.60032 Kamont, Anna; Müller, Paul F. X. 4 2006 Isomorphisms between \(H^1\) spaces. Zbl 1089.42001 Müller, Paul F. X. 22 2005 A remark on extrapolation of rearrangement operators on dyadic \(H^s\), \(0 < s \leq 1\). Zbl 1092.46014 Geiss, Stefan; Müller, Paul F. X.; Pillwein, Veronika 3 2005 Conditioned Brownian motion and multipliers into \(SL^\infty\). Zbl 1059.43002 Jones, P. W.; Müller, P. F. X. 9 2004 A family of complemented subspaces in VMO and its isomorphic classification. Zbl 1061.46030 Müller, Paul F. X. 2 2003 Bounded plateau and Weierstrass martingales with infinite variation in each direction. Zbl 1059.30503 Müller, P. F. X. 2 1999 Radial variation of Bloch functions. Zbl 0882.30020 Jones, Peter W.; Müller, Paul F. X. 2 1997 The physics of superconductors. Introduction to fundamentals and applications. Transl. from the Russian by I. V. Grigorieva. Ed. by P. Müller and A. V. Ustinov. Rev. ed. Zbl 0919.00007 Schmidt, V. V. 2 1997 A remarkable rearrangement of the Haar system in \(L_{p}\). Zbl 0883.46021 Müller, Paul F. X.; Schechtman, Gideon 2 1997 Rearrangements of the Haar system that preserve BMO. Zbl 0921.42018 Müller, Paul F. X. 2 1997 Holomorphic martingales and interpolation between Hardy spaces: The complex method. Zbl 0829.60037 Müller, Paul F. X. 1 1995 The Banach space \(H^ 1 (X, d, \mu)\). I. Zbl 0835.46047 Müller, Paul F. X. 1 1995 The Banach space \(H^ 1 (X, d,\mu)\). II. Zbl 0835.46048 Müller, Paul F. X. 1 1995 Similarity of nests in \(L_ p\), \(1\leq p\neq 2< \infty\). Zbl 0839.47028 Arias, Alvaro; Müller, Paul 1 1995 Orthogonal projections on martingale \(H^ 1\) spaces of two parameters. Zbl 0824.46027 Müller, Paul F. X. 5 1994 Holomorphic martingales and interpolation between Hardy spaces. Zbl 0796.60051 Müller, Paul F. X. 3 1993 Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces. Zbl 0723.46029 Müller, Paul F. X.; Schechtman, Gideon 5 1991 On linear topological properties of \(H^ 1\) on spaces of homogeneous type. Zbl 0694.46027 Müller, Paul F. 2 1990 On complemented subspaces of \(H^ 1\) and VMO. Zbl 0687.46014 Müller, Paul F. X.; Schechtman, Gideon 1 1989 On projections in \(H^ 1\) and BMO. Zbl 0677.46010 Müller, Paul F. X. 11 1988 On subspaces of \(H^ 1\) isomorphic to \(H^ 1\). Zbl 0653.46054 Müller, Paul F. X. 1 1988 A local version of a result of Gamlen and Gaudet. Zbl 0661.46017 Müller, Paul F. X. 1 1988 On the span of some three valued martingale difference sequences in \(L^ p\) \((1<p<\infty)\) and \(H^ 1\). Zbl 0656.46011 Müller, Paul F. X. 2 1987 Classification of the isomorphic types of martingale-\(H^ 1\) spaces. Zbl 0649.46048 Müller, Paul F. X. 1 1987 On sequences of the Haar basis in \(H^ 1(\delta)\) and isomorphism between \(H^ 1\)-spaces. Zbl 0636.46011 Müller, Paul F. X. 4 1986 all cited Publications top 5 cited Publications all top 5 Cited by 64 Authors 21 Müller, Paul F. X. 10 Lechner, Richard 6 Passenbrunner, Markus 5 Astashkin, Sergeĭ Vladimir 5 Motakis, Pavlos 5 Schlumprecht, Thomas 3 Kamont, Anna 3 Raită, Bogdan 3 Rzeszut, Maciej 3 Terekhin, Pavel Aleksandrovich 2 Martín, Francisco 2 Müller, Stefan 2 Randrianantoanina, Narcisse 2 Schechtman, Gideon 2 Semënov, Evgeniĭ Mikhaĭlovich 2 Umehara, Masaaki 2 Wojciechowski, Michał 2 Xu, Quanhua 2 Yamada, Kotaro 2 Zsák, András 1 Anisimov, D. S. 1 Arai, Hitoshi 1 Bakas, Odysseas 1 Dai, Yuying 1 Fan, Adrian 1 Freeman, Daniel H. jun. 1 Härkönen, Marc 1 Harris, Terence L. J. 1 Hore, Ankush 1 Irodova, Irina Pavlovna 1 Jiao, Siqi 1 Kania, Tomasz 1 Karagulyan, Grigori 1 Kirchheim, Bernd 1 Kislyakov, Sergeĭ Vital’evich 1 Kleper, Dvir 1 Kristensen, Jan 1 Lan, Tianxu 1 Laustsen, Niels Jakob 1 Lee, Jihoon 1 Lin, Chun-Chi 1 Montemurro, Jack 1 Navascués, María Antonia 1 Navoyan, Khazhak V. 1 Nicklasson, Lisa 1 O’Neill, Michael D. 1 Osipov, Nikolay N. 1 Palombaro, Mariapia 1 Penteker, Johanna 1 Petrushev, Pencho P. 1 Praveen, Naina 1 Rusonik, Alyssa 1 Skoufranis, Paul 1 Smela, Krzysztof 1 Smyshlyaev, Valery P. 1 Taylor, Mitchell A. 1 Tobin, Noam 1 Troitsky, Vladimir G. 1 Trojan, Bartosz 1 Wark, H. M. 1 Wirths, Karl-Joachim 1 Wu, Lian 1 Xiao, Jie 1 Yuditskii, Peter Meerovich all top 5 Cited in 40 Serials 7 Proceedings of the American Mathematical Society 6 Israel Journal of Mathematics 5 Journal of Functional Analysis 4 Mathematical Proceedings of the Cambridge Philosophical Society 3 Studia Mathematica 3 Colloquium Mathematicum 3 Calculus of Variations and Partial Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Forum of Mathematics, Sigma 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Dissertationes Mathematicae 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Journal of Symbolic Computation 1 Revista Matemática Iberoamericana 1 Communications in Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Positivity 1 Operators and Matrices 1 Involve 1 Advances in Operator Theory all top 5 Cited in 18 Fields 46 Functional analysis (46-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 19 Probability theory and stochastic processes (60-XX) 13 Operator theory (47-XX) 11 Functions of a complex variable (30-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Approximations and expansions (41-XX) 3 Partial differential equations (35-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.