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Goldberg, Michael Joseph

Author ID: goldberg.michael-joseph Recent zbMATH articles by "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
257 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 535 times in 276 Documents Cited by Year
Dispersive estimates for Schrödinger operators in dimensions one and three. Zbl 1086.81077
Goldberg, M.; Schlag, W.
86
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
43
2009
A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063
Goldberg, M.; Schlag, W.
40
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
38
2008
Matrix \(A_p\) weights via maximal functions. Zbl 1065.42013
Goldberg, Michael
29
2003
Schrödinger dispersive estimates for a scaling-critical class of potentials. Zbl 1250.35047
Beceanu, Marius; Goldberg, Michael
29
2012
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
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
Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015
Christ, Michael; Goldberg, Michael
16
2001
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
Transport in the one-dimensional Schrödinger equation. Zbl 1123.35046
Goldberg, Michael
11
2007
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.
10
2019
The \(L^{p}\) boundedness of wave operators for Schrödinger operators with threshold singularities. Zbl 1351.35029
Goldberg, Michael; Green, William R.
9
2016
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.
8
2018
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
6
2011
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 Klein-Gordon equation on \(\mathbb Z^2\) and the quantum harmonic lattice. Zbl 1378.35182
Borovyk, Vita; Goldberg, Michael
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
Localized Galerkin estimates for boundary integral equations on Lipschitz domains. Zbl 0757.65117
Adolfsson, V.; Goldberg, M.; Jawerth, B.; Lennerstad, H.
2
1992
Asymptotic properties of the vector Carleson embedding theorem. Zbl 0991.42008
Goldberg, Michael
2
2002
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.
10
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.
8
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
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 Klein-Gordon equation on \(\mathbb Z^2\) and the quantum harmonic lattice. Zbl 1378.35182
Borovyk, Vita; Goldberg, Michael
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
29
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
6
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
43
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
38
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.
86
2004
A limiting absorption principle for the three-dimensional Schrödinger equation with \(L^p\) potentials. Zbl 1069.35063
Goldberg, M.; Schlag, W.
40
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 top 5

Cited by 276 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
9 Isralowitz, Joshua
9 Soffer, Avraham
9 Yao, Xiaohua
8 Zhang, Junyong
6 Chen, Gong
6 Kopylova, Elena A.
6 Teschl, Gerald
6 Zheng, Jiqiang
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 Lu, Xiaojun
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 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
2 Wick, Brett Duane
...and 176 more Authors
all top 5

Cited in 82 Serials

28 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 Annales Henri Poincaré
6 The Journal of Geometric Analysis
5 Journal of the Mathematical Society of Japan
5 Discrete and Continuous Dynamical Systems
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 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 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 Journal of the London Mathematical Society. Second Series
1 Mathematica Scandinavica
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 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

Citations by Year