Edit Profile (opens in new tab) Axler, Sheldon Jay Co-Author Distance Author ID: axler.sheldon Published as: Axler, Sheldon Homepage: http://www.axler.net/ External Links: MGP · ORCID · Wikidata · Google Scholar · Twitter · dblp · GND · IdRef Documents Indexed: 42 Publications since 1977, including 7 Books 3 Contributions as Editor Co-Authors: 18 Co-Authors with 29 Joint Publications 512 Co-Co-Authors all top 5 Co-Authors 16 single-authored 7 Shields, Allen L. 4 Bourdon, Paul S. 4 Gorkin, Pamela B. 4 Ramey, Wade C. 4 Sarason, Donald Erik 3 Jewell, Nicholas P. 3 Zheng, Dechao 2 Berg, I. David 2 Čučković, Željko 2 McCarthy, John Edward 1 Chang, Sun-Yung Alice 1 Conway, John B. 1 McDonald, Gerard 1 Rosenthal, Peter 1 Shapiro, Joel H. 1 Shin, Peter J. 1 Voss, Karl 1 Zhu, Kehe all top 5 Serials 4 American Mathematical Monthly 3 Indiana University Mathematics Journal 3 Michigan Mathematical Journal 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Annals of Mathematics. Second Series 3 Graduate Texts in Mathematics 2 Integral Equations and Operator Theory 2 Mathematical Sciences Research Institute Publications 2 Undergraduate Texts in Mathematics 1 Studia Mathematica 1 Mathematics of Computation 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Journal of Applied Mathematics and Computing 1 Operator Theory: Advances and Applications all top 5 Fields 20 Operator theory (47-XX) 18 Functional analysis (46-XX) 15 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 5 Several complex variables and analytic spaces (32-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 1,340 times in 1,156 Documents Cited by ▼ Year ▼ Harmonic function theory. 2nd ed. Zbl 0959.31001Axler, Sheldon; Bourdon, Paul; Ramey, Wade 324 2001 Harmonic function theory. Zbl 0765.31001Axler, Sheldon; Bourdon, Paul; Ramey, Wade 192 1992 Compact operators via the Berezin transform. Zbl 0914.47029Axler, Sheldon; Zheng, Dechao 96 1998 Commuting Toeplitz operators with harmonic symbols. Zbl 0733.47027Axler, Sheldon; Čučković, Željko 89 1991 The Bergman space, the Bloch space, and commutators of multiplication operators. Zbl 0633.47014Axler, Sheldon 80 1986 Products of Toeplitz operators. Zbl 0396.47017Axler, Sheldon; Chang, Sun-Yung A.; Sarason, Donald 62 1978 Linear algebra done right. 3rd ed. Zbl 1304.15001Axler, Sheldon 40 2015 Commutants of analytic Toeplitz operators on the Bergman space. Zbl 0947.47023Axler, Sheldon; Čučković, Željko; Rao, N. V. 39 2000 Toeplitz operators on Bergman spaces. Zbl 0452.47032Axler, Sheldon; Conway, John B.; McDonald, Gerard 37 1982 Linear algebra done right. 2nd ed. Zbl 0886.15001Axler, Sheldon 33 1997 Bergman spaces and their operators. Zbl 0681.47006Axler, Sheldon 30 1988 The Berezin transform on the Toeplitz algebra. Zbl 0915.47022Axler, Sheldon; Zheng, Dechao 29 1998 Harmonic functions from a complex analysis viewpoint. Zbl 0604.31001Axler, Sheldon 26 1986 Multiplication operators on Bergman spaces. Zbl 0484.30033Axler, Sheldon 26 1982 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0399.47024Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 22 1979 The essential norm of an operator and its adjoint. Zbl 0434.41016Axler, Sheldon; Jewell, Nicholas; Shields, Allen 18 1980 Univalent multipliers of the Dirichlet space. Zbl 0567.30036Axler, Sheldon; Shields, Allen L. 17 1985 Algebras generated by analytic and harmonic functions. Zbl 0616.46048Axler, Sheldon; Shields, Allen 17 1987 Divisibility in Douglas algebras. Zbl 0597.46054Axler, Sheldon; Gorkin, Pamela 16 1984 Algebras on the disk and doubly commuting multiplication operators. Zbl 0706.46040Axler, Sheldon; Gorkin, Pamela 16 1988 Harmonic polynomials and Dirichlet-type problems. Zbl 0848.31002Axler, Sheldon; Ramey, Wade 14 1995 The Dirichlet problem on quadratic surfaces. Zbl 1040.31003Axler, Sheldon; Gorkin, Pamela; Voss, Karl 14 2004 Factorization of \(L^\infty\) functions. Zbl 0373.46063Axler, Sheldon 11 1977 Boundary behavior of derivatives of analytic functions. Zbl 0769.30020Axler, Sheldon; Zhu, Kehe 10 1992 Finite codimensional invariant subspaces of Bergman spaces. Zbl 0658.47011Axler, Sheldon; Bourdon, Paul 10 1988 Zero multipliers of Bergman spaces. Zbl 0578.32010Axler, Sheldon 10 1985 Down with determinants! Zbl 0845.15004Axler, Sheldon 9 1995 Sequences in the maximal ideal space of \(H^{\infty}\). Zbl 0703.46037Axler, Sheldon; Gorkin, Pamela 8 1990 Bôcher’s theorem. Zbl 0758.31002Axler, Sheldon; Bourdon, Paul; Ramey, Wade 7 1992 Putnam’s theorem, Alexander’s spectral area estimate, and VMO. Zbl 0541.30021Axler, Sheldon; Shapiro, Joel H. 7 1985 Extensions of harmonic and analytic functions. Zbl 0732.30026Axler, Sheldon; Shields, Allen 6 1990 Toeplitz operators. Zbl 1217.47056Axler, Sheldon 5 2010 Linear algebra done right. Zbl 0843.15002Axler, Sheldon 4 1995 Interpolation by multipliers of the Dirichlet space. Zbl 0768.30023Axler, Sheldon 3 1992 Paul Halmos and Toeplitz operators. Zbl 0810.47021Axler, Sheldon 3 1991 Measure, integration & real analysis. Zbl 1435.28001Axler, Sheldon 3 2020 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0387.47018Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 3 1979 Toeplitz algebras on the disk. Zbl 1142.46022Axler, Sheldon; Zheng, Dechao 1 2007 Holomorphic spaces. Zbl 0893.00015 1 1998 The dual of \(H^1\). Zbl 0444.30024Axler, Sheldon 1 1980 Extreme points in VMO and BMO. Zbl 0451.30028Axler, Sheldon; Shields, Allen 1 1982 Measure, integration & real analysis. Zbl 1435.28001Axler, Sheldon 3 2020 Linear algebra done right. 3rd ed. Zbl 1304.15001Axler, Sheldon 40 2015 Toeplitz operators. Zbl 1217.47056Axler, Sheldon 5 2010 Toeplitz algebras on the disk. Zbl 1142.46022Axler, Sheldon; Zheng, Dechao 1 2007 The Dirichlet problem on quadratic surfaces. Zbl 1040.31003Axler, Sheldon; Gorkin, Pamela; Voss, Karl 14 2004 Harmonic function theory. 2nd ed. Zbl 0959.31001Axler, Sheldon; Bourdon, Paul; Ramey, Wade 324 2001 Commutants of analytic Toeplitz operators on the Bergman space. Zbl 0947.47023Axler, Sheldon; Čučković, Željko; Rao, N. V. 39 2000 Compact operators via the Berezin transform. Zbl 0914.47029Axler, Sheldon; Zheng, Dechao 96 1998 The Berezin transform on the Toeplitz algebra. Zbl 0915.47022Axler, Sheldon; Zheng, Dechao 29 1998 Holomorphic spaces. Zbl 0893.00015 1 1998 Linear algebra done right. 2nd ed. Zbl 0886.15001Axler, Sheldon 33 1997 Harmonic polynomials and Dirichlet-type problems. Zbl 0848.31002Axler, Sheldon; Ramey, Wade 14 1995 Down with determinants! Zbl 0845.15004Axler, Sheldon 9 1995 Linear algebra done right. Zbl 0843.15002Axler, Sheldon 4 1995 Harmonic function theory. Zbl 0765.31001Axler, Sheldon; Bourdon, Paul; Ramey, Wade 192 1992 Boundary behavior of derivatives of analytic functions. Zbl 0769.30020Axler, Sheldon; Zhu, Kehe 10 1992 Bôcher’s theorem. Zbl 0758.31002Axler, Sheldon; Bourdon, Paul; Ramey, Wade 7 1992 Interpolation by multipliers of the Dirichlet space. Zbl 0768.30023Axler, Sheldon 3 1992 Commuting Toeplitz operators with harmonic symbols. Zbl 0733.47027Axler, Sheldon; Čučković, Željko 89 1991 Paul Halmos and Toeplitz operators. Zbl 0810.47021Axler, Sheldon 3 1991 Sequences in the maximal ideal space of \(H^{\infty}\). Zbl 0703.46037Axler, Sheldon; Gorkin, Pamela 8 1990 Extensions of harmonic and analytic functions. Zbl 0732.30026Axler, Sheldon; Shields, Allen 6 1990 Bergman spaces and their operators. Zbl 0681.47006Axler, Sheldon 30 1988 Algebras on the disk and doubly commuting multiplication operators. Zbl 0706.46040Axler, Sheldon; Gorkin, Pamela 16 1988 Finite codimensional invariant subspaces of Bergman spaces. Zbl 0658.47011Axler, Sheldon; Bourdon, Paul 10 1988 Algebras generated by analytic and harmonic functions. Zbl 0616.46048Axler, Sheldon; Shields, Allen 17 1987 The Bergman space, the Bloch space, and commutators of multiplication operators. Zbl 0633.47014Axler, Sheldon 80 1986 Harmonic functions from a complex analysis viewpoint. Zbl 0604.31001Axler, Sheldon 26 1986 Univalent multipliers of the Dirichlet space. Zbl 0567.30036Axler, Sheldon; Shields, Allen L. 17 1985 Zero multipliers of Bergman spaces. Zbl 0578.32010Axler, Sheldon 10 1985 Putnam’s theorem, Alexander’s spectral area estimate, and VMO. Zbl 0541.30021Axler, Sheldon; Shapiro, Joel H. 7 1985 Divisibility in Douglas algebras. Zbl 0597.46054Axler, Sheldon; Gorkin, Pamela 16 1984 Toeplitz operators on Bergman spaces. Zbl 0452.47032Axler, Sheldon; Conway, John B.; McDonald, Gerard 37 1982 Multiplication operators on Bergman spaces. Zbl 0484.30033Axler, Sheldon 26 1982 Extreme points in VMO and BMO. Zbl 0451.30028Axler, Sheldon; Shields, Allen 1 1982 The essential norm of an operator and its adjoint. Zbl 0434.41016Axler, Sheldon; Jewell, Nicholas; Shields, Allen 18 1980 The dual of \(H^1\). Zbl 0444.30024Axler, Sheldon 1 1980 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0399.47024Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 22 1979 Approximation by compact operators and the space \(H^\infty +C\). Zbl 0387.47018Axler, Sheldon; Berg, I. David; Jewell, Nicholas; Shields, Allen 3 1979 Products of Toeplitz operators. Zbl 0396.47017Axler, Sheldon; Chang, Sun-Yung A.; Sarason, Donald 62 1978 Factorization of \(L^\infty\) functions. Zbl 0373.46063Axler, Sheldon 11 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,330 Authors 29 Zheng, Dechao 25 Kalaj, David 25 Lu, Yufeng 24 Choe, Boo Rim 22 Lee, Young Joo 19 Koo, Hyungwoon 15 Gorkin, Pamela B. 13 Zhu, Kehe 12 Render, Hermann 11 Cao, Guangfu 10 Izuchi, Keiji 10 Mateljević, Miodrag S. 10 Mortini, Raymond 10 Wick, Brett Duane 10 Yu, Tao 9 Axler, Sheldon Jay 9 Čučković, Željko 9 Ding, Xuanhao 9 Şahutoğlu, Sönmez 8 Chen, Yong 8 Dong, Xingtang 8 Garayev, Mübariz Tapdıgoğlu 8 Nam, Kyesook 8 Stroethoff, Karel 8 Üreyen, Adem Ersin 7 Bauer, Wolfram 7 Das, Namita 7 Gu, Caixing 7 Guo, Kunyu 7 Le, Trieu 7 Lee, Jun Ik 7 Lindström, Mikael 7 Taskinen, Jari 6 Kaptanoglu, H. Turgay 6 Leutwiler, Heinz 6 Liu, Congwen 6 Na, Kyunguk 6 Pavlović, Miroslav 6 Virtanen, Jani A. 6 Wu, Zhijian 6 Yi, Heungsu 6 Zhao, Xianfeng 6 Zhou, Zehua 5 Clos, Timothy G. 5 Doğan, Ömer Faruk 5 Estrada, Ricardo 5 Ghatage, Pratibha G. 5 Guediri, Hocine 5 Hu, Zhangjian 5 Ko, Eungil 5 Kounchev, Ognyan Ivanov 5 Liu, Liu 5 Louhichi, Issam 5 Nakai, Mitsuru 5 Ross, William T. 5 Younis, Rahman M. 5 Zeytuncu, Yunus Ergýn 5 Zorboska, Nina 4 Armitage, David H. 4 Coburn, Lewis A. 4 De Bie, Hendrik 4 Dyakonov, Konstantin M. 4 Engliš, Miroslav 4 Galindo, Pablo 4 Grzebuła, Hubert 4 Gurdal, Mehmet 4 Hagger, Raffael 4 Hu, Yinyin 4 Izzo, Alexander John 4 Jevtić, Miroljub 4 Kähler, Uwe 4 Karapetyants, Alekseĭ Nikolaevich 4 Khalfallah, Adel 4 Lee, Jieun 4 Leiva, Hugo 4 Li, Yucheng 4 Ma, Pan 4 Menegatto, Valdir Antonio 4 Perälä, Antti Ilmari 4 Ponnusamy, Saminathan 4 Raimondo, Roberto C. 4 Sang, Yuanqi 4 Sehba, Benoit Florent 4 Sun, Shunhua 4 Thäle, Christoph 4 Trefethen, Lloyd Nicholas 4 Tylli, Hans-Olav 4 Wang, Xiantao 4 Wulan, Hasi 4 Xia, Jingbo 4 Xu, Hongyan 4 Yang, Jingyu 4 Zhang, Xuejun 4 Zhu, Jianfeng 3 Aleman, Alexandru 3 Aouadi, Moncef 3 Arakelian, N. H. 3 Bourdon, Paul S. 3 Castillo, René Erlín 3 Chan, Kit Chak ...and 1,230 more Authors all top 5 Cited in 283 Serials 108 Journal of Mathematical Analysis and Applications 65 Journal of Functional Analysis 59 Proceedings of the American Mathematical Society 56 Complex Analysis and Operator Theory 51 Integral Equations and Operator Theory 37 Transactions of the American Mathematical Society 20 Acta Mathematica Sinica. English Series 18 Potential Analysis 18 Complex Variables and Elliptic Equations 16 Advances in Mathematics 16 Computational Methods and Function Theory 15 Rocky Mountain Journal of Mathematics 13 Abstract and Applied Analysis 11 Bulletin of the Australian Mathematical Society 11 The Journal of Geometric Analysis 10 Journal of Mathematical Sciences (New York) 10 Advances in Applied Clifford Algebras 9 Czechoslovak Mathematical Journal 9 Revista Matemática Iberoamericana 9 Linear Algebra and its Applications 9 The Journal of Fourier Analysis and Applications 9 Journal of Inequalities and Applications 8 Journal d’Analyse Mathématique 8 Arkiv för Matematik 8 Archiv der Mathematik 8 Journal of Differential Equations 8 Operators and Matrices 7 Duke Mathematical Journal 7 Journal of Computational and Applied Mathematics 7 Mathematische Zeitschrift 7 Monatshefte für Mathematik 7 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 7 Positivity 6 International Journal of Mathematics and Mathematical Sciences 6 Proceedings of the Edinburgh Mathematical Society. Series II 6 Rendiconti del Circolo Matemàtico di Palermo. Serie II 6 Results in Mathematics 6 Constructive Approximation 6 St. Petersburg Mathematical Journal 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Banach Journal of Mathematical Analysis 6 Journal of Function Spaces 5 Israel Journal of Mathematics 5 Mathematical Methods in the Applied Sciences 5 Glasgow Mathematical Journal 5 Journal of Approximation Theory 5 Mathematische Annalen 5 Tôhoku Mathematical Journal. Second Series 5 Chinese Annals of Mathematics. Series B 5 Acta Mathematica Hungarica 5 International Journal of Mathematics 5 Journal of the Australian Mathematical Society 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Journal of Function Spaces and Applications 5 Boundary Value Problems 5 Science China. Mathematics 4 American Mathematical Monthly 4 Analysis Mathematica 4 Illinois Journal of Mathematics 4 Journal of the Mathematical Society of Japan 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Indagationes Mathematicae. New Series 4 Calculus of Variations and Partial Differential Equations 4 Discrete and Continuous Dynamical Systems 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Concrete Operators 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Mathematical Notes 3 Ukrainian Mathematical Journal 3 Mathematics of Computation 3 Acta Scientiarum Mathematicarum 3 Functiones et Approximatio. Commentarii Mathematici 3 Nagoya Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 Acta Mathematica Sinica. New Series 3 Turkish Journal of Mathematics 3 Filomat 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 The College Mathematics Journal 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Archive for Rational Mechanics and Analysis 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Linear and Multilinear Algebra 2 Nuclear Physics. B 2 Studia Mathematica 2 Journal of Geometry and Physics 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Michigan Mathematical Journal 2 Numerical Functional Analysis and Optimization 2 Siberian Mathematical Journal ...and 183 more Serials all top 5 Cited in 59 Fields 473 Operator theory (47-XX) 290 Functions of a complex variable (30-XX) 257 Functional analysis (46-XX) 239 Potential theory (31-XX) 181 Several complex variables and analytic spaces (32-XX) 158 Partial differential equations (35-XX) 49 Harmonic analysis on Euclidean spaces (42-XX) 37 Numerical analysis (65-XX) 33 Differential geometry (53-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 30 Approximations and expansions (41-XX) 29 Special functions (33-XX) 23 Real functions (26-XX) 21 Probability theory and stochastic processes (60-XX) 16 Quantum theory (81-XX) 15 Computer science (68-XX) 14 Abstract harmonic analysis (43-XX) 13 Integral transforms, operational calculus (44-XX) 13 Integral equations (45-XX) 12 Number theory (11-XX) 12 Convex and discrete geometry (52-XX) 12 Fluid mechanics (76-XX) 12 Systems theory; control (93-XX) 11 Combinatorics (05-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Statistics (62-XX) 9 Algebraic geometry (14-XX) 9 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Measure and integration (28-XX) 7 Topological groups, Lie groups (22-XX) 7 Mechanics of deformable solids (74-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Information and communication theory, circuits (94-XX) 6 General and overarching topics; collections (00-XX) 6 Mathematical logic and foundations (03-XX) 6 Manifolds and cell complexes (57-XX) 6 Operations research, mathematical programming (90-XX) 5 Field theory and polynomials (12-XX) 5 Commutative algebra (13-XX) 5 Relativity and gravitational theory (83-XX) 5 Geophysics (86-XX) 4 Optics, electromagnetic theory (78-XX) 4 Biology and other natural sciences (92-XX) 4 Mathematics education (97-XX) 3 Group theory and generalizations (20-XX) 3 General topology (54-XX) 3 Mechanics of particles and systems (70-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Difference and functional equations (39-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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