Edit Profile (opens in new tab) Goldberg, Michael Joseph Compute Distance To: Compute Author ID: goldberg.michael-joseph Published as: Goldberg, Michael; Goldberg, M. External Links: MGP Documents Indexed: 32 Publications since 1992 Co-Authors: 8 Co-Authors with 19 Joint Publications 222 Co-Co-Authors all top 5 Co-Authors 10 single-authored 10 Green, William R. 7 Erdoğan, Mehmet Burak 4 Schlag, Wilhelm 2 Beceanu, Marius 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 4 Communications in Mathematical Physics 4 Journal of Functional Analysis 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 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 28 Partial differential equations (35-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Operator theory (47-XX) 9 Quantum theory (81-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-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 473 times in 247 Documents Cited by ▼ Year ▼ Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077Goldberg, M.; Schlag, W. 84 2004 Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 41 2009 Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 35 2008 A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063Goldberg, M.; Schlag, W. 34 2004 Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials. Zbl 1102.35026Goldberg, Michael; Vega, Luis; Visciglia, Nicola 27 2006 Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials. Zbl 1158.35408Goldberg, M. 23 2006 Schrödinger dispersive estimates for a scaling-critical class of potentials. Zbl 1250.35047Beceanu, Marius; Goldberg, Michael 23 2012 Matrix \(A_p\) weights via maximal functions. Zbl 1065.42013Goldberg, Michael 23 2003 Dispersive estimates for the three-dimensional Schrödinger equation with rough potentials. Zbl 1096.35027Goldberg, M. 20 2006 A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. Zbl 1110.35073Goldberg, Michael; Visan, Monica 19 2006 Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials. Zbl 1161.35004Goldberg, Michael 18 2009 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. Zbl 1317.35216Goldberg, Michael; Green, William R. 14 2015 A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. Zbl 1223.35265Goldberg, Michael 14 2010 Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\). Zbl 1292.35063Beceanu, Marius; Goldberg, Michael 13 2014 Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 13 2014 Transport in the one-dimensional Schrödinger equation. Zbl 1123.35046Goldberg, Michael 11 2007 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261Goldberg, Michael; Green, William R. 11 2017 Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015Christ, Michael; Goldberg, Michael 11 2001 Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 9 2019 On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 06837535Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 6 2018 Dispersive estimates for Schrödinger operators with measure-valued potentials in \(\mathbb R^3\). Zbl 1287.35075Goldberg, Michael 6 2012 The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029Goldberg, Michael; Green, William R. 5 2016 Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential. Zbl 1234.35076Goldberg, Michael 5 2011 The Klein-Gordon equation on \(\mathbb Z^2\) and the quantum harmonic lattice. Zbl 1378.35182Borovyk, Vita; Goldberg, Michael 4 2017 The Helmholtz equation with \(L^p\) data and Bochner-Riesz multipliers. Zbl 1371.35030Goldberg, Michael 4 2016 On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. Zbl 1364.81223Goldberg, Michael; Green, William R. 3 2017 On the \(L^p\) boundedness of the wave operators for fourth order Schrödinger operators. Zbl 07344659Goldberg, Michael; Green, William R. 2 2021 Localized Galerkin estimates for boundary integral equations on Lipschitz domains. Zbl 0757.65117Adolfsson, V.; Goldberg, M.; Jawerth, B.; Lennerstad, H. 2 1992 Asymptotic properties of the vector Carleson embedding theorem. Zbl 0991.42008Goldberg, Michael 2 2002 The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 1491.35374Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 1 2021 On the \(L^p\) boundedness of the wave operators for fourth order Schrödinger operators. Zbl 07344659Goldberg, Michael; Green, William R. 2 2021 The massless Dirac equation in two dimensions: zero-energy obstructions and dispersive estimates. Zbl 1491.35374Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 1 2021 Limiting absorption principle and Strichartz estimates for Dirac operators in two and higher dimensions. Zbl 1421.35310Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 9 2019 On the \(L^p\) boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions. Zbl 06837535Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 6 2018 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. II: The even dimensional case. Zbl 1372.35261Goldberg, Michael; Green, William R. 11 2017 The Klein-Gordon equation on \(\mathbb Z^2\) and the quantum harmonic lattice. Zbl 1378.35182Borovyk, Vita; Goldberg, Michael 4 2017 On the \(L^p\) boundedness of wave operators for four-dimensional Schrödinger operators with a threshold eigenvalue. Zbl 1364.81223Goldberg, Michael; Green, William R. 3 2017 The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029Goldberg, Michael; Green, William R. 5 2016 The Helmholtz equation with \(L^p\) data and Bochner-Riesz multipliers. Zbl 1371.35030Goldberg, Michael 4 2016 Dispersive estimates for higher dimensional Schrödinger operators with threshold eigenvalues. I: The odd dimensional case. Zbl 1317.35216Goldberg, Michael; Green, William R. 14 2015 Strichartz estimates and maximal operators for the wave equation in \(\mathbb R^3\). Zbl 1292.35063Beceanu, Marius; Goldberg, Michael 13 2014 Dispersive estimates for four dimensional Schrödinger and wave equations with obstructions at zero energy. Zbl 1325.35017Erdoğan, M. Burak; Goldberg, Michael; Green, William R. 13 2014 Schrödinger dispersive estimates for a scaling-critical class of potentials. Zbl 1250.35047Beceanu, Marius; Goldberg, Michael 23 2012 Dispersive estimates for Schrödinger operators with measure-valued potentials in \(\mathbb R^3\). Zbl 1287.35075Goldberg, Michael 6 2012 Strichartz estimates for Schrödinger operators with a non-smooth magnetic potential. Zbl 1234.35076Goldberg, Michael 5 2011 A dispersive bound for three-dimensional Schrödinger operators with zero energy eigenvalues. Zbl 1223.35265Goldberg, Michael 14 2010 Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions. Zbl 1181.35208Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 41 2009 Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials. Zbl 1161.35004Goldberg, Michael 18 2009 Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in \(\mathbb R^3\). Zbl 1152.35021Erdoğan, M. Burak; Goldberg, Michael; Schlag, Wilhelm 35 2008 Transport in the one-dimensional Schrödinger equation. Zbl 1123.35046Goldberg, Michael 11 2007 Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials. Zbl 1102.35026Goldberg, Michael; Vega, Luis; Visciglia, Nicola 27 2006 Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials. Zbl 1158.35408Goldberg, M. 23 2006 Dispersive estimates for the three-dimensional Schrödinger equation with rough potentials. Zbl 1096.35027Goldberg, M. 20 2006 A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. Zbl 1110.35073Goldberg, Michael; Visan, Monica 19 2006 Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077Goldberg, M.; Schlag, W. 84 2004 A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063Goldberg, M.; Schlag, W. 34 2004 Matrix \(A_p\) weights via maximal functions. Zbl 1065.42013Goldberg, Michael 23 2003 Asymptotic properties of the vector Carleson embedding theorem. Zbl 0991.42008Goldberg, Michael 2 2002 Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015Christ, Michael; Goldberg, Michael 11 2001 Localized Galerkin estimates for boundary integral equations on Lipschitz domains. Zbl 0757.65117Adolfsson, V.; Goldberg, M.; Jawerth, B.; Lennerstad, H. 2 1992 all cited Publications top 5 cited Publications all top 5 Cited by 251 Authors 18 Green, William R. 17 Goldberg, Michael Joseph 15 Erdoğan, Mehmet Burak 13 Fanelli, Luca 11 D’Ancona, Piero 10 Mizutani, Haruya 9 Schlag, Wilhelm 8 Beceanu, Marius 8 Isralowitz, Joshua 8 Soffer, Avraham 8 Yao, Xiaohua 7 Zhang, Junyong 6 Kopylova, Elena A. 6 Teschl, Gerald 6 Zheng, Jiqiang 5 Chen, Gong 5 Vodev, Georgi 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 Stefanov, Atanas G. 4 Visciglia, Nicola 4 Yajima, Kenji 3 Bickel, Kelly 3 Bouclet, Jean-Marc 3 Cacciafesta, Federico 3 Cruz-Uribe, David Vincente 3 Cuevas, Claudio 3 Egorova, Iryna 3 Gesztesy, Fritz 3 Holzleitner, Markus 3 Lu, Xiaojun 3 Maeda, Masaya 3 Mandel, Rainer 3 Marzuola, Jeremy Louis 3 Pelinovsky, Dmitry Efimovich 3 Pott, Sandra 3 Pusateri, Fabio 3 Rivera-Ríos, Israel P. 3 The Anh Bui 3 Vega, Luis 3 Vougalter, Vitali 3 Zheng, Quan 2 Ali Mehmeti, Felix 2 Antonelli, Paolo 2 Boussaid, Nabile 2 Cossetti, Lucrezia 2 Deng, Qingquan 2 Dewez, Florent 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 Huang, Shanlin 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 Michelangeli, Alessandro 2 Muñoz, Claudio 2 Nichols, Roger 2 Petermichl, Stefanie 2 Primo, Ana R. M. 2 Ratnakumar, P. K. 2 Roudenko, Svetlana 2 Scandone, Raffaele 2 Schiavone, Nico Michele 2 Sogge, Christopher D. 2 Staubach, Wolfgang 2 Tanveer, Saleh 2 Tarulli, Mirko 2 Toprak, Ebru 2 Wang, Xueping 2 Wick, Brett Duane 2 Wu, Zhao 2 Zubeldia, Miren 1 Aafarani, Maha 1 Ammari, Kais 1 Arrizabalaga, Naiara 1 Ashbaugh, Mark S. 1 Banica, Valeria 1 Barceló, Juan Antonio 1 Barron, Alex 1 Ben-Artzi, Matania ...and 151 more Authors all top 5 Cited in 76 Serials 25 Journal of Functional Analysis 24 Communications in Mathematical Physics 23 Journal of Differential Equations 13 Journal of Mathematical Analysis and Applications 10 Advances in Mathematics 9 Transactions of the American Mathematical Society 9 Communications in Partial Differential Equations 8 Mathematische Annalen 7 Journal of Mathematical Physics 7 Annales Henri Poincaré 6 The Journal of Geometric Analysis 5 Discrete and Continuous Dynamical Systems 4 Journal of the Mathematical Society of Japan 4 The Journal of Fourier Analysis and Applications 4 Journal of Evolution Equations 3 Reviews in Mathematical Physics 3 Duke Mathematical Journal 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Mathematical Analysis 3 Analysis & PDE 2 Journal d’Analyse Mathématique 2 Annales de l’Institut Fourier 2 Illinois Journal of Mathematics 2 Integral Equations and Operator Theory 2 Mathematische Zeitschrift 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 Journal of Spectral Theory 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 Canadian Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 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 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 Transactions of the American Mathematical Society. Series B 1 Pure and Applied Analysis 1 SN Partial Differential Equations and Applications all top 5 Cited in 26 Fields 206 Partial differential equations (35-XX) 65 Quantum theory (81-XX) 61 Operator theory (47-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Functional analysis (46-XX) 7 Ordinary differential equations (34-XX) 7 Optics, electromagnetic theory (78-XX) 5 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) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Systems theory; control (93-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year