# zbMATH — the first resource for mathematics

## Wilson, James Michael

Compute Distance To:
 Author ID: wilson.j-michael Published as: Wilson, J. Michael; Wilson, Michael; Wilson, J. M.; Wilson, J.; Wilson, M. Homepage: http://www.emba.uvm.edu/~jmwilson/ External Links: MGP
 Documents Indexed: 50 Publications since 1982, including 1 Book
all top 5

#### Co-Authors

 38 single-authored 3 Sweezy, Caroline 2 Wheeden, Richard Lee 1 Chang, Sun-Yung Alice 1 Dewji, R. 1 Dimitrov, Ivan P. 1 Nazarov, Fedor L. 1 Roth, Mike 1 Tarulli, Mirko 1 Uchiyama, Akihito 1 Wehlau, David Louis 1 Wolff, Thomas H. 1 Zwick, Daniel S.
all top 5

#### Serials

 6 Proceedings of the American Mathematical Society 4 The Journal of Fourier Analysis and Applications 3 Journal of Mathematical Analysis and Applications 3 Studia Mathematica 3 Indiana University Mathematics Journal 3 Transactions of the American Mathematical Society 2 Duke Mathematical Journal 2 Revista Matemática Iberoamericana 1 Rocky Mountain Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Dissertationes Mathematicae 1 Illinois Journal of Mathematics 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Operational Research Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Publicacions Matemàtiques 1 Foundations of Computing and Decision Sciences 1 Journal of Algebraic Combinatorics 1 Applied and Computational Harmonic Analysis 1 International Journal of Pure and Applied Mathematics 1 WSEAS Transactions on Mathematics 1 Lecture Notes in Mathematics
all top 5

#### Fields

 44 Harmonic analysis on Euclidean spaces (42-XX) 7 Partial differential equations (35-XX) 5 Potential theory (31-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 388 times in 273 Documents Cited by Year
Some weighted norm inequalities concerning the Schrödinger operators. Zbl 0575.42025
Chang, S. Y. A.; Wilson, J. M.; Wolff, T. H.
1985
Weighted inequalities for the dyadic square function without dyadic $$A_{\infty}$$. Zbl 0639.42016
Wilson, J. Michael
1987
The intrinsic square function. Zbl 1213.42072
Wilson, Michael
2007
Weighted norm inequalities for the continuous square functions. Zbl 0689.42016
Wilson, J. Michael
1989
Weighted Littlewood-Paley theory and exponential-square integrability. Zbl 1138.42011
Wilson, Michael
2008
On the atomic decomposition for Hardy spaces. Zbl 0563.42012
Wilson, J. Michael
1985
How fast and in what sense(s) does the Calderón reproducing formula converge? Zbl 1204.42029
Wilson, M.
2010
Convergence and stability of the Calderón reproducing formula in $$H ^{1}$$ and $$BMO$$. Zbl 1230.42028
Wilson, Michael
2011
A sharp inequality for the square function. Zbl 0639.42017
Wilson, J. Michael
1987
Approximate identities and $$H^1(R)$$. Zbl 0516.42027
Uchiyama, Akihito; Wilson, J. Michael
1983
$$L^ p$$ weighted norm inequalities for the square function, $$0<p<2$$. Zbl 0684.42010
Wilson, J. Michael
1989
Weighted norm estimates for gradients of half-space extensions. Zbl 0860.42015
Wheeden, Richard L.; Wilson, J. Michael
1995
A simple proof of the atomic decomposition for $$H^ p(R^ n)$$, $$0<p \leq 1$$. Zbl 0496.42009
Wilson, J. Michael
1982
Invariance and stability of almost-orthogonal systems. Zbl 1341.42032
Wilson, Michael
2016
Best approximation by subharmonic functions. Zbl 0755.41022
Wilson, J. M.; Zwick, D.
1992
Paraproducts and the exponential-square class. Zbl 1019.42010
Wilson, J. Michael
2002
Chanillo-Wheeden inequalities for $$0<p\leq 1$$. Zbl 0712.42032
Wilson, J. Michael
1990
Some two-parameter square function inequalities. Zbl 0734.42007
Wilson, J. Michael
1991
Stability of wavelet-like expansions under chromatic aberration. Zbl 1170.42017
Wilson, Michael
2009
A counterexample in the theory of best approximation. Zbl 0726.41027
Wilson, J. Michael
1990
Green’s theorem and balayage. Zbl 0663.31003
Wilson, J. Michael
1988
Decomposing inversion sets of permutations and applications to faces of the Littlewood-Richardson cone. Zbl 1440.05004
Dewji, R.; Dimitrov, I.; McCabe, A.; Roth, M.; Wehlau, D.; Wilson, J.
2017
Erratum to “Weighted norm inequalities for the continuous square function”. Zbl 0714.42012
Wilson, J. M.
1990
Bounded variation, convexity, and almost-orthogonality. Zbl 1359.42009
Wilson, Michael
2017
Global orthogonality implies local almost-orthogonality. Zbl 0967.42012
Wilson, J. Michael
2000
The Buckley dyadic square function. Zbl 1271.42032
Nazarov, Fedor; Wilson, Michael
2013
Invariance of almost-orthogonal systems between weighted spaces: the non-compact support case. Zbl 1328.42011
Wilson, Michael
2015
A note on the g-function. Zbl 0653.42020
Wilson, J. Michael
1988
Decomposing inversion sets of permutations and applications to faces of the Littlewood-Richardson cone. Zbl 1440.05004
Dewji, R.; Dimitrov, I.; McCabe, A.; Roth, M.; Wehlau, D.; Wilson, J.
2017
Bounded variation, convexity, and almost-orthogonality. Zbl 1359.42009
Wilson, Michael
2017
Invariance and stability of almost-orthogonal systems. Zbl 1341.42032
Wilson, Michael
2016
Invariance of almost-orthogonal systems between weighted spaces: the non-compact support case. Zbl 1328.42011
Wilson, Michael
2015
The Buckley dyadic square function. Zbl 1271.42032
Nazarov, Fedor; Wilson, Michael
2013
Convergence and stability of the Calderón reproducing formula in $$H ^{1}$$ and $$BMO$$. Zbl 1230.42028
Wilson, Michael
2011
How fast and in what sense(s) does the Calderón reproducing formula converge? Zbl 1204.42029
Wilson, M.
2010
Stability of wavelet-like expansions under chromatic aberration. Zbl 1170.42017
Wilson, Michael
2009
Weighted Littlewood-Paley theory and exponential-square integrability. Zbl 1138.42011
Wilson, Michael
2008
The intrinsic square function. Zbl 1213.42072
Wilson, Michael
2007
Paraproducts and the exponential-square class. Zbl 1019.42010
Wilson, J. Michael
2002
Global orthogonality implies local almost-orthogonality. Zbl 0967.42012
Wilson, J. Michael
2000
Weighted norm estimates for gradients of half-space extensions. Zbl 0860.42015
Wheeden, Richard L.; Wilson, J. Michael
1995
Best approximation by subharmonic functions. Zbl 0755.41022
Wilson, J. M.; Zwick, D.
1992
Some two-parameter square function inequalities. Zbl 0734.42007
Wilson, J. Michael
1991
Chanillo-Wheeden inequalities for $$0<p\leq 1$$. Zbl 0712.42032
Wilson, J. Michael
1990
A counterexample in the theory of best approximation. Zbl 0726.41027
Wilson, J. Michael
1990
Erratum to “Weighted norm inequalities for the continuous square function”. Zbl 0714.42012
Wilson, J. M.
1990
Weighted norm inequalities for the continuous square functions. Zbl 0689.42016
Wilson, J. Michael
1989
$$L^ p$$ weighted norm inequalities for the square function, $$0<p<2$$. Zbl 0684.42010
Wilson, J. Michael
1989
Green’s theorem and balayage. Zbl 0663.31003
Wilson, J. Michael
1988
A note on the g-function. Zbl 0653.42020
Wilson, J. Michael
1988
Weighted inequalities for the dyadic square function without dyadic $$A_{\infty}$$. Zbl 0639.42016
Wilson, J. Michael
1987
A sharp inequality for the square function. Zbl 0639.42017
Wilson, J. Michael
1987
Some weighted norm inequalities concerning the Schrödinger operators. Zbl 0575.42025
Chang, S. Y. A.; Wilson, J. M.; Wolff, T. H.
1985
On the atomic decomposition for Hardy spaces. Zbl 0563.42012
Wilson, J. Michael
1985
Approximate identities and $$H^1(R)$$. Zbl 0516.42027
Uchiyama, Akihito; Wilson, J. Michael
1983
A simple proof of the atomic decomposition for $$H^ p(R^ n)$$, $$0<p \leq 1$$. Zbl 0496.42009
Wilson, J. Michael
1982
all top 5

#### Cited by 308 Authors

 11 Wilson, James Michael 9 Lerner, Andrei K. 9 Rivera-Ríos, Israel P. 8 Yan, Lixin 7 Cruz-Uribe, David Vincente 7 Li, Kangwei 7 Martell, José María (Chema) 7 Wang, Hua 6 Hytönen, Tuomas P. 6 Yang, Dachun 5 Lacey, Michael T. 5 Weisz, Ferenc 5 Xue, Qingying 4 Carro, María Jesús 4 di Plinio, Francesco 4 Ding, Yong 4 Duong, Xuan Thinh 4 Martikainen, Henri 4 Ombrosi, Sheldy Javier 4 Parissis, Ioannis R. 4 Rela, Ezequiel 4 Soria, Javier 4 Verbitsky, Igor E. 4 Wheeden, Richard Lee 3 Auscher, Pascal 3 Bennett, Jonathan M. 3 Beznosova, Oleksandra V. 3 Bilyk, Dmitry 3 Cao, Mingming 3 Chung, Daewon 3 Gala, Sadek 3 Guliyev, Vagif Sabir 3 Guo, Shaoming 3 Hagelstein, Paul Alton 3 Hart, Jarod V. 3 Ho, Kwok-Pun 3 Honzík, Petr 3 Hu, Guoen 3 Maz’ya, Vladimir Gilelevich 3 Meskhi, Alexander 3 Mitrea, Marius 3 Moore, Charles Nelson 3 Sawyer, Eric T. 3 Seeger, Andreas 3 Song, Liang 3 Tao, Shuangping 3 Treil, Sergei 3 Volberg, Alexander Lvovich 3 Vuorinen, Emil 3 Wu, Xiaomei 3 Yan, Xianjie 2 Almeida, Víctor M. 2 Bañuelos, Rodrigo 2 Beltran, David 2 Betancor Perez, Jorge Juan 2 Chen, Yanping 2 Choi, Woocheol 2 Dafni, Galia 2 Dalmasso, Estefanía 2 Damián, Wendolín 2 Demeter, Ciprian 2 Doubtsov, Evgueni Sergeevich 2 Duoandikoetxea, Javier 2 Gauthier, Paul M. 2 Girela, Daniel 2 Gong, Ruming 2 Grafakos, Loukas 2 Hitczenko, Paweł 2 Hofmann, Steve 2 Hormozi, Mahdi 2 Ivanisvili, Paata 2 Jawerth, Björn David 2 Kinzebulatov, Damir 2 Kokilashvili, Vakhtang Mikhailovich 2 Li, Ji 2 Li, Wenming 2 Liang, YiYu 2 Liu, Heping 2 Lu, Guozhen 2 Lu, Shanzhen 2 Markhasin, Lev 2 Mitrea, Dorina 2 Moen, Kabe 2 Nguyen Cong Phuc 2 Omarova, Mehriban N. 2 Pereyra, María Cristina 2 Pipher, Jill Catherine 2 Pott, Sandra 2 Reguera, Maria Carmen 2 Reznikov, Aleksandr 2 Rodríguez-Mesa, Lourdes 2 Roncal, Luz 2 Roos, Joris 2 Saari, Olli 2 Saleem, Muhammad Shoaib 2 Schechter, Martin 2 Semënov, Yuliy A. 2 Sun, Wenchang 2 Tapiola, Olli 2 The Anh Bui ...and 208 more Authors
all top 5

#### Cited in 90 Serials

 21 Journal of Mathematical Analysis and Applications 21 Journal of Functional Analysis 18 Transactions of the American Mathematical Society 15 The Journal of Geometric Analysis 14 Proceedings of the American Mathematical Society 13 Advances in Mathematics 10 The Journal of Fourier Analysis and Applications 6 Annales de l’Institut Fourier 6 Journal of Inequalities and Applications 5 Journal d’Analyse Mathématique 5 Duke Mathematical Journal 5 Mathematische Annalen 5 Journal of Function Spaces 4 Israel Journal of Mathematics 4 Integral Equations and Operator Theory 4 Mathematische Zeitschrift 4 Revista Matemática Complutense 4 Banach Journal of Mathematical Analysis 3 Illinois Journal of Mathematics 3 Journal of Approximation Theory 3 Mathematische Nachrichten 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Revista Matemática Iberoamericana 3 Communications in Partial Differential Equations 3 Bulletin of the American Mathematical Society. New Series 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Rocky Mountain Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Mathematika 2 Acta Mathematica Hungarica 2 Potential Analysis 2 Turkish Journal of Mathematics 2 Acta Mathematica Sinica. English Series 2 Journal of the Australian Mathematical Society 2 Communications on Pure and Applied Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Frontiers of Mathematics in China 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Lithuanian Mathematical Journal 1 Periodica Mathematica Hungarica 1 Arkiv för Matematik 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society 1 Collectanea Mathematica 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Real Analysis Exchange 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Science in China. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Stochastic Processes and their Applications 1 Expositiones Mathematicae 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal 1 The New York Journal of Mathematics 1 Abstract and Applied Analysis 1 Positivity 1 Taiwanese Journal of Mathematics 1 Fractional Calculus & Applied Analysis 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 East Asian Mathematical Journal 1 Journal of Nonlinear Science and Applications 1 Set-Valued and Variational Analysis 1 Science China. Mathematics 1 Communications in Mathematics and Statistics 1 Concrete Operators 1 Transactions of A. Razmadze Mathematical Institute
all top 5

#### Cited in 24 Fields

 224 Harmonic analysis on Euclidean spaces (42-XX) 61 Functional analysis (46-XX) 43 Operator theory (47-XX) 35 Partial differential equations (35-XX) 16 Functions of a complex variable (30-XX) 16 Potential theory (31-XX) 13 Probability theory and stochastic processes (60-XX) 10 Real functions (26-XX) 8 Abstract harmonic analysis (43-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Approximations and expansions (41-XX) 5 Number theory (11-XX) 5 Integral transforms, operational calculus (44-XX) 4 Quantum theory (81-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Systems theory; control (93-XX)