Edit Profile (opens in new tab) Goldberg, Michael Joseph Co-Author Distance Author ID: goldberg.michael-joseph Published as: Goldberg, Michael; Goldberg, M. External Links: MGP Documents Indexed: 39 Publications since 1992, including 4 Additional arXiv Preprints Co-Authors: 8 Co-Authors with 26 Joint Publications 261 Co-Co-Authors all top 5 Co-Authors 10 single-authored 13 Green, William R. 9 Erdoğan, Mehmet Burak 5 Beceanu, Marius 5 Schlag, Wilhelm 1 Adolfsson, Vilhelm 1 Borovyk, Vita 1 Christ, Michael 1 Jawerth, Björn David 1 Lennerstad, Håkan 1 Stolyarov, Dmitry M. 1 Vega, Luis 1 Visan, Monica 1 Visciglia, Nicola all top 5 Serials 6 Journal of Functional Analysis 4 Communications in Mathematical Physics 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Communications in Partial Differential Equations 2 Journal of Spectral Theory 1 Advances in Mathematics 1 American Journal of Mathematics 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Pacific Journal of Mathematics 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Mathematical Research Letters 1 Discrete and Continuous Dynamical Systems 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Proceedings of the American Mathematical Society. Series B 1 Transactions of the American Mathematical Society. Series B all top 5 Fields 34 Partial differential equations (35-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Operator theory (47-XX) 9 Quantum theory (81-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 545 times in 285 Documents Cited by ▼ Year ▼ Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077 Goldberg, M.; Schlag, W. 88 2004 Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 44 2009 A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063 Goldberg, M.; Schlag, W. 41 2004 Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 40 2008 Schrödinger dispersive estimates for a scaling-critical class of potentials. Zbl 1250.35047 Beceanu, Marius; Goldberg, Michael 30 2012 Matrix \(A_p\) weights via maximal functions. Zbl 1065.42013 Goldberg, Michael 29 2003 Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials. Zbl 1102.35026 Goldberg, Michael; Vega, Luis; Visciglia, Nicola 28 2006 Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials. Zbl 1158.35408 Goldberg, M. 24 2006 A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. Zbl 1110.35073 Goldberg, Michael; Visan, Monica 22 2006 Dispersive estimates for the three-dimensional Schrödinger equation with rough potentials. Zbl 1096.35027 Goldberg, M. 21 2006 Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials. Zbl 1161.35004 Goldberg, Michael 20 2009 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. Zbl 1317.35216 Goldberg, Michael; Green, William R. 18 2015 Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015 Christ, Michael; Goldberg, Michael 16 2001 Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 16 2014 A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. Zbl 1223.35265 Goldberg, Michael 15 2010 Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\). Zbl 1292.35063 Beceanu, Marius; Goldberg, Michael 14 2014 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261 Goldberg, Michael; Green, William R. 14 2017 Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 11 2019 Transport in the one-dimensional Schrödinger equation. Zbl 1123.35046 Goldberg, Michael 11 2007 On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 1516.35132 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 9 2018 The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029 Goldberg, Michael; Green, William R. 9 2016 Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential. Zbl 1234.35076 Goldberg, Michael 7 2011 Dispersive estimates for Schrödinger operators with measure-valued potentials in \(\mathbb R^3\). Zbl 1287.35075 Goldberg, Michael 7 2012 The Klein-Gordon equation on \(\mathbb Z^2\) and the quantum harmonic lattice. Zbl 1378.35182 Borovyk, Vita; Goldberg, Michael 5 2017 On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. Zbl 1364.81223 Goldberg, Michael; Green, William R. 4 2017 The Helmholtz equation with \(L^p\) data and Bochner-Riesz multipliers. Zbl 1371.35030 Goldberg, Michael 4 2016 On the \(L^p\) boundedness of the wave operators for fourth order Schrödinger operators. Zbl 07344659 Goldberg, Michael; Green, William R. 4 2021 Asymptotic properties of the vector Carleson embedding theorem. Zbl 0991.42008 Goldberg, Michael 2 2002 Localized Galerkin estimates for boundary integral equations on Lipschitz domains. Zbl 0757.65117 Adolfsson, V.; Goldberg, M.; Jawerth, B.; Lennerstad, H. 2 1992 The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 1491.35374 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 1 2021 On the \(L^p\) boundedness of the wave operators for fourth order Schrödinger operators. Zbl 07344659 Goldberg, Michael; Green, William R. 4 2021 The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 1491.35374 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 1 2021 Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 11 2019 On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 1516.35132 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 9 2018 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261 Goldberg, Michael; Green, William R. 14 2017 The Klein-Gordon equation on \(\mathbb Z^2\) and the quantum harmonic lattice. Zbl 1378.35182 Borovyk, Vita; Goldberg, Michael 5 2017 On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. Zbl 1364.81223 Goldberg, Michael; Green, William R. 4 2017 The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029 Goldberg, Michael; Green, William R. 9 2016 The Helmholtz equation with \(L^p\) data and Bochner-Riesz multipliers. Zbl 1371.35030 Goldberg, Michael 4 2016 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. Zbl 1317.35216 Goldberg, Michael; Green, William R. 18 2015 Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017 Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 16 2014 Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\). Zbl 1292.35063 Beceanu, Marius; Goldberg, Michael 14 2014 Schrödinger dispersive estimates for a scaling-critical class of potentials. Zbl 1250.35047 Beceanu, Marius; Goldberg, Michael 30 2012 Dispersive estimates for Schrödinger operators with measure-valued potentials in \(\mathbb R^3\). Zbl 1287.35075 Goldberg, Michael 7 2012 Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential. Zbl 1234.35076 Goldberg, Michael 7 2011 A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. Zbl 1223.35265 Goldberg, Michael 15 2010 Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 44 2009 Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials. Zbl 1161.35004 Goldberg, Michael 20 2009 Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021 Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 40 2008 Transport in the one-dimensional Schrödinger equation. Zbl 1123.35046 Goldberg, Michael 11 2007 Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials. Zbl 1102.35026 Goldberg, Michael; Vega, Luis; Visciglia, Nicola 28 2006 Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials. Zbl 1158.35408 Goldberg, M. 24 2006 A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. Zbl 1110.35073 Goldberg, Michael; Visan, Monica 22 2006 Dispersive estimates for the three-dimensional Schrödinger equation with rough potentials. Zbl 1096.35027 Goldberg, M. 21 2006 Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077 Goldberg, M.; Schlag, W. 88 2004 A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063 Goldberg, M.; Schlag, W. 41 2004 Matrix \(A_p\) weights via maximal functions. Zbl 1065.42013 Goldberg, Michael 29 2003 Asymptotic properties of the vector Carleson embedding theorem. Zbl 0991.42008 Goldberg, Michael 2 2002 Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015 Christ, Michael; Goldberg, Michael 16 2001 Localized Galerkin estimates for boundary integral equations on Lipschitz domains. Zbl 0757.65117 Adolfsson, V.; Goldberg, M.; Jawerth, B.; Lennerstad, H. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 287 Authors 21 Green, William R. 20 Goldberg, Michael Joseph 17 Erdoğan, Mehmet Burak 13 Fanelli, Luca 11 D’Ancona, Piero 11 Mizutani, Haruya 10 Beceanu, Marius 10 Schlag, Wilhelm 10 Yao, Xiaohua 9 Isralowitz, Joshua 9 Soffer, Avraham 8 Zhang, Junyong 6 Chen, Gong 6 Kopylova, Elena A. 6 Teschl, Gerald 6 Zheng, Jiqiang 5 Lu, Xiaojun 5 Petermichl, Stefanie 5 Vodev, Georgi 5 Yajima, Kenji 4 Cacciafesta, Federico 4 Cardoso, Fernando 4 Costin, Ovidiu 4 Cuccagna, Scipio 4 Duong, Xuan Thinh 4 Hong, Younghun 4 Komech, Alexander Ilich 4 Kovařík, Hynek 4 Moen, Kabe 4 Nielsen, Morten 4 Pott, Sandra 4 Pusateri, Fabio 4 Stefanov, Atanas G. 4 Visciglia, Nicola 4 Vougalter, Vitali 4 Zheng, Quan 3 Ben-Artzi, Matania 3 Bickel, Kelly 3 Bouclet, Jean-Marc 3 Cruz-Uribe, David Vincente 3 Cuevas, Claudio 3 Deng, Qingquan 3 Egorova, Iryna 3 Gesztesy, Fritz 3 Holzleitner, Markus 3 Huang, Shanlin 3 Maeda, Masaya 3 Mandel, Rainer 3 Marzuola, Jeremy Louis 3 Michelangeli, Alessandro 3 Pelinovsky, Dmitry Efimovich 3 Rivera-Ríos, Israel P. 3 Scandone, Raffaele 3 The Anh Bui 3 Treil, Sergei 3 Vega, Luis 2 Ali Mehmeti, Felix 2 Antonelli, Paolo 2 Boussaid, Nabile 2 Cossetti, Lucrezia 2 Dewez, Florent 2 Efendiev, Messoud 2 Felli, Veronica 2 Feng, Hongliang 2 Fontelos López, Marco Antonio 2 Frank, Rupert L. 2 Gang, Zhou 2 Gao, Xiaofen 2 Garcia, Andoni 2 Germain, Pierre 2 Grillo, Gabriele 2 Huang, Min 2 Hytönen, Tuomas P. 2 Kawamoto, Masaki 2 Kim, Seongyeon 2 Kostenko, Aleksey S. 2 Kowalczyk, Michał 2 Kwon, Yehyun 2 Lafontaine, David 2 Li, Ji 2 Li, Ze 2 Lv, Xiaofen 2 Martel, Yvan 2 Muñoz, Claudio 2 Murphy, Jason 2 Nazarov, Fedor L. 2 Nichols, Roger 2 Primo, Ana R. M. 2 Ratnakumar, P. K. 2 Roudenko, Svetlana 2 Schiavone, Nico Michele 2 Seo, Ihyeok 2 Sogge, Christopher D. 2 Staubach, Wolfgang 2 Tanveer, Saleh 2 Tarulli, Mirko 2 Toprak, Ebru 2 Tu, Ziheng 2 Volberg, Alexander Lvovich 2 Wang, Xueping ...and 187 more Authors all top 5 Cited in 85 Serials 29 Journal of Functional Analysis 25 Communications in Mathematical Physics 23 Journal of Differential Equations 16 Journal of Mathematical Analysis and Applications 13 Advances in Mathematics 10 Communications in Partial Differential Equations 9 Transactions of the American Mathematical Society 8 Mathematische Annalen 7 Journal of Mathematical Physics 7 Discrete and Continuous Dynamical Systems 7 Annales Henri Poincaré 6 The Journal of Geometric Analysis 5 Journal of the Mathematical Society of Japan 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 The Journal of Fourier Analysis and Applications 4 Journal of Evolution Equations 4 Journal of Spectral Theory 3 Reviews in Mathematical Physics 3 Duke Mathematical Journal 3 Illinois Journal of Mathematics 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Analysis & PDE 2 Journal d’Analyse Mathématique 2 Annales de l’Institut Fourier 2 Indiana University Mathematics Journal 2 Integral Equations and Operator Theory 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 Potential Analysis 2 Mathematical Physics, Analysis and Geometry 2 Séminaire Laurent Schwartz. EDP et Applications 2 Proceedings of the American Mathematical Society. Series B 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Osaka Journal of Mathematics 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Physica D 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Differential Equations and Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 Complex Analysis and Operator Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Pseudo-Differential Operators and Applications 1 Forum of Mathematics, Pi 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal of Mathematics 1 Discrete Analysis 1 Transactions of the American Mathematical Society. Series B 1 Mathematics in Engineering 1 Pure and Applied Analysis 1 SN Partial Differential Equations and Applications 1 Frontiers of Mathematics all top 5 Cited in 27 Fields 237 Partial differential equations (35-XX) 73 Quantum theory (81-XX) 71 Operator theory (47-XX) 64 Harmonic analysis on Euclidean spaces (42-XX) 12 Functional analysis (46-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Optics, electromagnetic theory (78-XX) 7 Ordinary differential equations (34-XX) 7 Probability theory and stochastic processes (60-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year