## Christ, Michael

Compute Distance To:
 Author ID: christ.michael Published as: Christ, Michael; Christ, M.; Christ, Mike
 Documents Indexed: 119 Publications since 1983, including 1 Book 4 Contributions as Editor Co-Authors: 57 Co-Authors with 57 Joint Publications 1,110 Co-Co-Authors
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### Co-Authors

 66 single-authored 8 Kiselev, Alexander A. 5 Müller, Detlef 5 Tao, Terence 4 Carbery, Anthony 4 Thiele, Christoph Martin 3 Geller, Daryl 3 Rubio de Francia, José Luis 3 Wainger, Stephen 2 Bennett, Jonathan M. 2 Colliander, James E. 2 Duoandikoetxea, Javier 2 Erdoğan, Mehmet Burak 2 Grafakos, Loukas 2 Kenig, Carlos Eduardo 2 Liu, Heping 2 Sadosky, Cora 2 Seeger, Andreas 2 Shao, Shuanglin 2 Sogge, Christopher D. 2 Stein, Elias Menachem 2 Vance, James Thomas jun. 2 Zhang, An 1 Barron, Alexander 1 Carlsson, Hasse 1 Chanillo, Sagun 1 Córdoba Barba, Antonio Juan 1 Dendrinos, Spyridon 1 Durcik, Polona 1 Fefferman, Robert A. 1 Flock, Taryn C. 1 Fu, Siqi 1 Głowacki, Paweł 1 Goldberg, Michael Joseph 1 Holmer, Justin 1 Honzík, Petr 1 Journé, Jean-Lin 1 Karadzhov, Georgi Eremiev 1 Last, Yoram 1 Li, Songying 1 Li, Xiaochun 1 Maldague, Dominique 1 Nagel, Alexander 1 Oliveira e Silva, Diogo 1 Pausader, Benoît 1 Polin, Larry 1 Quilodrán, René 1 Remling, Christian 1 Rieffel, Marc A. 1 Roos, Joris 1 Stovall, Betsy 1 Street, Brian 1 Tataru, Daniel 1 Watson, David K. 1 Weinberg, David Arthur 1 Weiss, Guido Leopold 1 Wright, James Robert 1 Xue, Qingying
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### Serials

 10 Duke Mathematical Journal 7 Proceedings of the American Mathematical Society 7 Mathematical Research Letters 6 Transactions of the American Mathematical Society 6 Annals of Mathematics. Second Series 5 Revista Matemática Iberoamericana 4 Journal of Functional Analysis 4 Journal of the American Mathematical Society 3 Advances in Mathematics 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 Oberwolfach Reports 2 Arkiv för Matematik 2 American Journal of Mathematics 2 Mathematische Zeitschrift 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 IMRN. International Mathematics Research Notices 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Acta Mathematica Sinica. English Series 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Studia Mathematica 1 Acta Mathematica 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Proceedings of the London Mathematical Society. Third Series 1 Publicacions Matemàtiques 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Notices of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Journal of the Institute of Mathematics of Jussieu 1 Regional Conference Series in Mathematics 1 Analysis & PDE 1 Libertas Mathematica. New Series
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### Fields

 53 Harmonic analysis on Euclidean spaces (42-XX) 50 Partial differential equations (35-XX) 24 Several complex variables and analytic spaces (32-XX) 14 Real functions (26-XX) 14 Abstract harmonic analysis (43-XX) 13 Integral transforms, operational calculus (44-XX) 13 Operator theory (47-XX) 7 Topological groups, Lie groups (22-XX) 7 Quantum theory (81-XX) 6 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 5 Differential geometry (53-XX) 4 General and overarching topics; collections (00-XX) 4 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Measure and integration (28-XX) 2 Convex and discrete geometry (52-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX)

### Citations contained in zbMATH Open

106 Publications have been cited 2,552 times in 1,932 Documents Cited by Year
A $$T(b)$$ theorem with remarks on analytic capacity and the Cauchy integral. Zbl 0758.42009
Christ, Michael
1990
Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101
Christ, Michael; Colliander, James; Tao, Terrence
2003
Maximal functions associated to filtrations. Zbl 0974.47025
Christ, Michael; Kiselev, Alexander
2001
$$L^ p$$ bounds for spectral multipliers on nilpotent groups. Zbl 0739.42010
Christ, Michael
1991
Weak type (1,1) bounds for rough operators. Zbl 0666.47027
Christ, Michael
1988
Polynomial growth estimates for multilinear singular integral operators. Zbl 0645.42017
Christ, Michael; Journé, Jean-Lin
1987
Best constants for two nonconvolution inequalities. Zbl 0830.42009
Christ, Michael; Grafakos, Loukas
1995
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
2008
Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001
Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1999
Lectures on singular integral operators. Expository lectures from the CBMS regional conference held at the University of Montana, Missoula, MT (USA) from August 28-September 1, 1989. Zbl 0745.42008
Christ, Michael
1990
On the $$\bar {\partial{}}$$ equation in weighted $$L^ 2$$ norms in $$\mathbb{C} ^ 1$$. Zbl 0737.35011
Christ, Michael
1991
Multidimensional van der Corput and sublevel set estimates. Zbl 0938.42008
Carbery, Anthony; Christ, Michael; Wright, James
1999
Hilbert transforms along curves. I: Nilpotent groups. Zbl 0593.43011
Christ, Michael
1985
On almost everywhere convergence of Bochner-Riesz means in higher dimensions. Zbl 0569.42011
Christ, Michael
1985
Estimates for the k-plane transform. Zbl 0597.44003
Christ, Michael
1984
On the restriction of the Fourier transform to curves: Endpoint results and the degenerate case. Zbl 0563.42010
Christ, Michael
1985
Weak type (1,1) bounds for rough operators. II. Zbl 0695.47052
Christ, Michael; Rubio de Francia, José Luis
1988
Global $$C^{\infty}$$ irregularity of the $$\bar \partial$$–Neumann problem for worm domains. Zbl 0945.32022
Christ, Michael
1996
Convolution, curvature, and combinatorics: A case study. Zbl 0927.42008
Christ, Michael
1998
Operators associated to flat plane curves: $$L^ p$$ estimates via dilation methods. Zbl 0723.44006
Carbery, Anthony; Christ, Michael; Vance, James; Wainger, Stephen; Watson, David K.
1989
Power series solution of a nonlinear Schrödinger equation. Zbl 1142.35084
Christ, M.
2007
Weak (1,1) bounds for oscillatory singular integrals. Zbl 0667.42007
Chanillo, Sagun; Christ, Michael
1987
A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order. Zbl 1136.35087
Christ, Michael; Colliander, James; Tao, Terence
2008
Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations. Zbl 0656.42010
Christ, Michael; Duoandikoetxea, Javier; Rubio de Francia, José L.
1986
Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051
Christ, Michael; Kiselev, Alexander
1998
Singular integral characterizations of Hardy spaces on homogeneous groups. Zbl 0601.43003
Christ, Michael; Geller, Daryl
1984
$$L^ p$$ estimates for maximal functions and Hilbert transforms along flat convex curves in $$R^ 2$$. Zbl 0588.44007
Carlsson, Hasse; Christ, Michael; Cordoba, Antonio; Duoandikoetxea, Javier; Rubio de Francia, Jose L.; Vance, James; Wainger, Stephen; Weinberg, David
1986
On $$L^ p$$ spectral multipliers for a solvable Lie group. Zbl 0878.43008
Christ, M.; Müller, D.
1996
Certain sums of squares of vector fields fail to be analytic hypoelliptic. Zbl 0762.35017
Christ, Michael
1991
Regularity properties of the $${\bar \partial}_ b$$ equation on weakly pseudoconvex CR manifolds of dimension 3. Zbl 0671.35017
Christ, Michael
1988
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
2012
Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities. Zbl 1247.26029
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
2010
Pseudodifferential operators on groups with dilations. Zbl 0764.35120
Christ, Michael; Geller, Daryl; Głowacki, Paweł; Polin, Larry
1992
Intermediate optimal Gevrey exponents occur. Zbl 0893.35021
Christ, Michael
1997
Weak type endpoint bounds for Bochner-Riesz multipliers. Zbl 0726.42009
Christ, Michael
1987
On the extremizers of an adjoint Fourier restriction inequality. Zbl 1258.35007
Christ, Michael; Shao, Shuanglin
2012
WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials. Zbl 0985.34078
Christ, Michael; Kiselev, Alexander
2001
Counterexamples to analytic hypoellipticity for domains of finite type. Zbl 0758.35024
Christ, Michael; Geller, Daryl
1992
On multilinear oscillatory integrals, nonsingular and singular. Zbl 1119.42005
Christ, Michael; Li, Xiaochun; Tao, Terence; Thiele, Christoph
2005
Hilbert transforms along curves. II: A flat case. Zbl 0677.42011
Christ, Michael
1985
Compactness in the $$\overline\partial$$-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect. Zbl 1098.32020
Christ, Michael; Fu, Siqi
2005
WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065
Christ, Michael; Kiselev, Alexander
2001
A note on weighted norm inequalities for the Hardy-Littlewood maximal operator. Zbl 0502.42017
Christ, Michael; Fefferman, Robert
1983
Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076
Christ, M.; Kiselev, A.
2002
Failure of an endpoint estimate for integrals along curves. Zbl 0871.42017
Christ, Michael
1995
Extremizers of a Radon transform inequality. Zbl 1303.44001
Christ, Michael
2014
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
1997
Hypoellipticity in the infinitely degenerate regime. Zbl 1015.32032
Christ, Michael
2001
A necessary condition for analytic hypoellipticity. Zbl 0841.35026
Christ, Michael
1994
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
2012
Nilpotent group $$C^*$$-algebras as compact quantum metric spaces. Zbl 1372.46054
Christ, Michael; Rieffel, Marc A.
2017
Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011
Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas
2005
A remark on singular Calderón-Zygmund theory. Zbl 0622.42012
Christ, Michael; Stein, Elias M.
1987
Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains. Zbl 0747.35005
Christ, Michael
1991
The Szegö projection need not preserve global analyticity. Zbl 0851.32024
Christ, Michael
1996
Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. Zbl 1285.26035
Christ, Michael; Quilodrán, René
2014
Inversion in some algebras of singular integral operators. Zbl 0703.43001
Christ, Michael
1988
Vector $$A_2$$ weights and a Hardy-Littlewood maximal function. Zbl 0995.42015
Christ, Michael; Goldberg, Michael
2001
The strong maximal function on a nilpotent group. Zbl 0765.43002
Christ, Michael
1992
Global analytic hypoellipticity in the presence of symmetry. Zbl 0841.35027
Christ, Michael
1994
Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019
Christ, Michael; Erdoğan, M. Burak
2002
A convolution inequality concerning Cantor-Lebesgue measures. Zbl 0644.42011
Christ, Michael
1985
The extension problem for certain function spaces involving fractional orders of differentiability. Zbl 0548.46025
Christ, M.
1984
Some non-analytic-hypoelliptic sums of squares of vector fields. Zbl 0767.35003
Christ, Michael
1992
A class of hypoelliptic PDE admitting non-analytic solutions. Zbl 0804.35022
Christ, Michael
1992
Necessary conditions for vector-valued operator inequalities in harmonic analysis. Zbl 1099.42020
Christ, Michael; Seeger, Andreas
2006
Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles. Zbl 1043.32023
Christ, Michael
2003
Remarks on global irregularity in the $$\bar\partial$$-Neumann problem. Zbl 0959.32041
Christ, Michael
1999
Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem. Zbl 0802.35025
Christ, Michael
1993
Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group. Zbl 1342.26042
Christ, Michael; Liu, Heping; Zhang, An
2016
On the regularity of inverses of singular integral operators. Zbl 0673.42011
Christ, Michael
1988
Hypoellipticity of the Kohn Laplacian for three-dimensional tubular Cauchy-Riemann structures. Zbl 1038.32031
Christ, Michael
2002
Pointwise estimates for the relative fundamental solution of $${\bar \partial}_ b$$. Zbl 0694.35003
Christ, Michael
1988
Temporal regularity for random walk on discrete nilpotent groups. Zbl 0889.60007
Christ, Michael
1995
Weighted norm inequalities and Schur’s lemma. Zbl 0555.42008
Christ, Michael
1984
Hypoellipticity: Geometrization and speculation. Zbl 0965.47033
Christ, Michael
2000
Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups. Zbl 1329.26028
Christ, Michael; Liu, Heping; Zhang, An
2016
Embedding compact three-dimensional CR manifolds of finite type in $${\mathbb{C}}^ n$$. Zbl 0668.32019
Christ, Michael
1989
Near equality in the Riesz-Sobolev inequality. Zbl 1423.26038
Christ, Michael
2019
On trilinear oscillatory integrals. Zbl 1321.42027
Christ, Michael; Oliveira e Silva, Diogo
2014
Nonexistence of invariant analytic hypoelliptic differential operators on nilpotent groups of step greater than two. Zbl 0835.22007
Christ, Michael
1995
Absolutely continuous spectrum of Stark operators. Zbl 1046.34095
Christ, Michael; Kiselev, Alexander
2003
Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics. Zbl 1429.32030
Christ, Michael
2018
Near-extremizers of Young’s inequality for Euclidean groups. Zbl 1431.42014
Christ, Michael
2019
Examples pertaining to Gevrey hypoellipticity. Zbl 0897.35021
Christ, Michael
1997
Characterization of $$H^ 1$$ by singular integrals: Necessary conditions. Zbl 0573.43005
Christ, Michael
1984
On the $$\bar \partial{} _ b$$ equation for three-dimensional CR manifolds. Zbl 0747.32009
Christ, Michael
1991
Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004
Christ, Michael; Erdoğan, M. Burak
2008
On certain elementary trilinear operators. Zbl 1014.42015
Christ, Michael
2001
Approximate eigenvectors and spectral theory. Zbl 1056.35129
Christ, M.; Kiselev, A.; Last, Y.
2000
Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type. Zbl 1297.26046
Christ, Michael; Flock, Taryn C.
2014
Examples of singular maximal functions unbounded on $$L^ p$$. Zbl 0722.42009
Christ, Michael
1991
On local and global analytic and Gevrey hypoellipticity. Zbl 0881.35026
Christ, Michael
1995
Examples of analytic non-hypoellipticity of $$\bar{\partial}_ b$$. Zbl 0808.35021
Christ, Michael
1994
Remarks on the breakdown of analyticity for $$\overline\partial_ b$$ and Szegö kernels. Zbl 0778.32006
Christ, Michael
1991
Alberto Pedro Calderón (1920-1998). Zbl 0973.01072
Christ, Michael; Kenig, Carlos E.; Sadosky, Cora; Weiss, Guido
1998
Smoothness of extremizers of a convolution inequality. Zbl 1234.42010
Christ, Michael; Xue, Qingying
2012
Off-diagonal decay of Bergman kernels: on a question of Zelditch. Zbl 1429.32003
Christ, Michael
2018
Endpoint Lebesgue estimates for weighted averages on polynomial curves. Zbl 1465.44002
Christ, Michael; Dendrinos, Spyridon; Stovall, Betsy; Street, Brian
2020
Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038
Christ, Michael; Karadzhov, G. E.; Müller, Detlef
1996
On Young’s convolution inequality for Heisenberg groups. Zbl 1483.39011
Christ, Michael
2021
Young’s inequality sharpened. Zbl 1479.39030
Christ, Michael
2021
Endpoint Lebesgue estimates for weighted averages on polynomial curves. Zbl 1465.44002
Christ, Michael; Dendrinos, Spyridon; Stovall, Betsy; Street, Brian
2020
Near equality in the Riesz-Sobolev inequality. Zbl 1423.26038
Christ, Michael
2019
Near-extremizers of Young’s inequality for Euclidean groups. Zbl 1431.42014
Christ, Michael
2019
Subsets of Euclidean space with nearly maximal Gowers norms. Zbl 1423.26037
Christ, Michael
2019
Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics. Zbl 1429.32030
Christ, Michael
2018
Off-diagonal decay of Bergman kernels: on a question of Zelditch. Zbl 1429.32003
Christ, Michael
2018
Nilpotent group $$C^*$$-algebras as compact quantum metric spaces. Zbl 1372.46054
Christ, Michael; Rieffel, Marc A.
2017
Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group. Zbl 1342.26042
Christ, Michael; Liu, Heping; Zhang, An
2016
Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups. Zbl 1329.26028
Christ, Michael; Liu, Heping; Zhang, An
2016
Extremizers of a Radon transform inequality. Zbl 1303.44001
Christ, Michael
2014
Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. Zbl 1285.26035
Christ, Michael; Quilodrán, René
2014
On trilinear oscillatory integrals. Zbl 1321.42027
Christ, Michael; Oliveira e Silva, Diogo
2014
Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type. Zbl 1297.26046
Christ, Michael; Flock, Taryn C.
2014
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
2012
On the extremizers of an adjoint Fourier restriction inequality. Zbl 1258.35007
Christ, Michael; Shao, Shuanglin
2012
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
2012
Smoothness of extremizers of a convolution inequality. Zbl 1234.42010
Christ, Michael; Xue, Qingying
2012
Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities. Zbl 1247.26029
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
2010
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
2008
A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order. Zbl 1136.35087
Christ, Michael; Colliander, James; Tao, Terence
2008
Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004
Christ, Michael; Erdoğan, M. Burak
2008
Power series solution of a nonlinear Schrödinger equation. Zbl 1142.35084
Christ, M.
2007
Necessary conditions for vector-valued operator inequalities in harmonic analysis. Zbl 1099.42020
Christ, Michael; Seeger, Andreas
2006
On multilinear oscillatory integrals, nonsingular and singular. Zbl 1119.42005
Christ, Michael; Li, Xiaochun; Tao, Terence; Thiele, Christoph
2005
Compactness in the $$\overline\partial$$-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect. Zbl 1098.32020
Christ, Michael; Fu, Siqi
2005
Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011
Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas
2005
Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101
Christ, Michael; Colliander, James; Tao, Terrence
2003
Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles. Zbl 1043.32023
Christ, Michael
2003
Absolutely continuous spectrum of Stark operators. Zbl 1046.34095
Christ, Michael; Kiselev, Alexander
2003
Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076
Christ, M.; Kiselev, A.
2002
Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019
Christ, Michael; Erdoğan, M. Burak
2002
Hypoellipticity of the Kohn Laplacian for three-dimensional tubular Cauchy-Riemann structures. Zbl 1038.32031
Christ, Michael
2002
Maximal functions associated to filtrations. Zbl 0974.47025
Christ, Michael; Kiselev, Alexander
2001
WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials. Zbl 0985.34078
Christ, Michael; Kiselev, Alexander
2001
WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065
Christ, Michael; Kiselev, Alexander
2001
Hypoellipticity in the infinitely degenerate regime. Zbl 1015.32032
Christ, Michael
2001
Vector $$A_2$$ weights and a Hardy-Littlewood maximal function. Zbl 0995.42015
Christ, Michael; Goldberg, Michael
2001
On certain elementary trilinear operators. Zbl 1014.42015
Christ, Michael
2001
Hypoellipticity: Geometrization and speculation. Zbl 0965.47033
Christ, Michael
2000
Approximate eigenvectors and spectral theory. Zbl 1056.35129
Christ, M.; Kiselev, A.; Last, Y.
2000
Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001
Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
1999
Multidimensional van der Corput and sublevel set estimates. Zbl 0938.42008
Carbery, Anthony; Christ, Michael; Wright, James
1999
Remarks on global irregularity in the $$\bar\partial$$-Neumann problem. Zbl 0959.32041
Christ, Michael
1999
Convolution, curvature, and combinatorics: A case study. Zbl 0927.42008
Christ, Michael
1998
Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051
Christ, Michael; Kiselev, Alexander
1998
Alberto Pedro Calderón (1920-1998). Zbl 0973.01072
Christ, Michael; Kenig, Carlos E.; Sadosky, Cora; Weiss, Guido
1998
Intermediate optimal Gevrey exponents occur. Zbl 0893.35021
Christ, Michael
1997
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
1997
Examples pertaining to Gevrey hypoellipticity. Zbl 0897.35021
Christ, Michael
1997
Global $$C^{\infty}$$ irregularity of the $$\bar \partial$$–Neumann problem for worm domains. Zbl 0945.32022
Christ, Michael
1996
On $$L^ p$$ spectral multipliers for a solvable Lie group. Zbl 0878.43008
Christ, M.; Müller, D.
1996
The Szegö projection need not preserve global analyticity. Zbl 0851.32024
Christ, Michael
1996
Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038
Christ, Michael; Karadzhov, G. E.; Müller, Detlef
1996
A progress report on analytic hypoellipticity. Zbl 0924.47029
Christ, Michael
1996
Best constants for two nonconvolution inequalities. Zbl 0830.42009
Christ, Michael; Grafakos, Loukas
1995
Failure of an endpoint estimate for integrals along curves. Zbl 0871.42017
Christ, Michael
1995
Temporal regularity for random walk on discrete nilpotent groups. Zbl 0889.60007
Christ, Michael
1995
Nonexistence of invariant analytic hypoelliptic differential operators on nilpotent groups of step greater than two. Zbl 0835.22007
Christ, Michael
1995
On local and global analytic and Gevrey hypoellipticity. Zbl 0881.35026
Christ, Michael
1995
Remarks on analytic hypoellipticity of $$\overline {\partial}_ b$$. Zbl 0868.32021
Christ, Michael
1995
A necessary condition for analytic hypoellipticity. Zbl 0841.35026
Christ, Michael
1994
Global analytic hypoellipticity in the presence of symmetry. Zbl 0841.35027
Christ, Michael
1994
Examples of analytic non-hypoellipticity of $$\bar{\partial}_ b$$. Zbl 0808.35021
Christ, Michael
1994
Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem. Zbl 0802.35025
Christ, Michael
1993
Pseudodifferential operators on groups with dilations. Zbl 0764.35120
Christ, Michael; Geller, Daryl; Głowacki, Paweł; Polin, Larry
1992
Counterexamples to analytic hypoellipticity for domains of finite type. Zbl 0758.35024
Christ, Michael; Geller, Daryl
1992
The strong maximal function on a nilpotent group. Zbl 0765.43002
Christ, Michael
1992
Some non-analytic-hypoelliptic sums of squares of vector fields. Zbl 0767.35003
Christ, Michael
1992
A class of hypoelliptic PDE admitting non-analytic solutions. Zbl 0804.35022
Christ, Michael
1992
$$L^ p$$ bounds for spectral multipliers on nilpotent groups. Zbl 0739.42010
Christ, Michael
1991
On the $$\bar {\partial{}}$$ equation in weighted $$L^ 2$$ norms in $$\mathbb{C} ^ 1$$. Zbl 0737.35011
Christ, Michael
1991
Certain sums of squares of vector fields fail to be analytic hypoelliptic. Zbl 0762.35017
Christ, Michael
1991
Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains. Zbl 0747.35005
Christ, Michael
1991
On the $$\bar \partial{} _ b$$ equation for three-dimensional CR manifolds. Zbl 0747.32009
Christ, Michael
1991
Examples of singular maximal functions unbounded on $$L^ p$$. Zbl 0722.42009
Christ, Michael
1991
Remarks on the breakdown of analyticity for $$\overline\partial_ b$$ and Szegö kernels. Zbl 0778.32006
Christ, Michael
1991
Precise analysis of $$\bar \partial{}_ b$$ and $$\bar \partial$$ on domains of finite type in $$\mathbb{C}{}^ 2$$. Zbl 0743.32016
Christ, Michael
1991
A $$T(b)$$ theorem with remarks on analytic capacity and the Cauchy integral. Zbl 0758.42009
Christ, Michael
1990
Lectures on singular integral operators. Expository lectures from the CBMS regional conference held at the University of Montana, Missoula, MT (USA) from August 28-September 1, 1989. Zbl 0745.42008
Christ, Michael
1990
Operators associated to flat plane curves: $$L^ p$$ estimates via dilation methods. Zbl 0723.44006
Carbery, Anthony; Christ, Michael; Vance, James; Wainger, Stephen; Watson, David K.
1989
Embedding compact three-dimensional CR manifolds of finite type in $${\mathbb{C}}^ n$$. Zbl 0668.32019
Christ, Michael
1989
Weak type (1,1) bounds for rough operators. Zbl 0666.47027
Christ, Michael
1988
Weak type (1,1) bounds for rough operators. II. Zbl 0695.47052
Christ, Michael; Rubio de Francia, José Luis
1988
Regularity properties of the $${\bar \partial}_ b$$ equation on weakly pseudoconvex CR manifolds of dimension 3. Zbl 0671.35017
Christ, Michael
1988
Inversion in some algebras of singular integral operators. Zbl 0703.43001
Christ, Michael
1988
On the regularity of inverses of singular integral operators. Zbl 0673.42011
Christ, Michael
1988
Pointwise estimates for the relative fundamental solution of $${\bar \partial}_ b$$. Zbl 0694.35003
Christ, Michael
1988
Polynomial growth estimates for multilinear singular integral operators. Zbl 0645.42017
Christ, Michael; Journé, Jean-Lin
1987
Weak (1,1) bounds for oscillatory singular integrals. Zbl 0667.42007
Chanillo, Sagun; Christ, Michael
1987
Weak type endpoint bounds for Bochner-Riesz multipliers. Zbl 0726.42009
Christ, Michael
1987
A remark on singular Calderón-Zygmund theory. Zbl 0622.42012
Christ, Michael; Stein, Elias M.
1987
Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations. Zbl 0656.42010
Christ, Michael; Duoandikoetxea, Javier; Rubio de Francia, José L.
1986
$$L^ p$$ estimates for maximal functions and Hilbert transforms along flat convex curves in $$R^ 2$$. Zbl 0588.44007
Carlsson, Hasse; Christ, Michael; Cordoba, Antonio; Duoandikoetxea, Javier; Rubio de Francia, Jose L.; Vance, James; Wainger, Stephen; Weinberg, David
1986
Hilbert transforms along curves. I: Nilpotent groups. Zbl 0593.43011
Christ, Michael
1985
On almost everywhere convergence of Bochner-Riesz means in higher dimensions. Zbl 0569.42011
Christ, Michael
1985
On the restriction of the Fourier transform to curves: Endpoint results and the degenerate case. Zbl 0563.42010
Christ, Michael
1985
Hilbert transforms along curves. II: A flat case. Zbl 0677.42011
Christ, Michael
1985
A convolution inequality concerning Cantor-Lebesgue measures. Zbl 0644.42011
Christ, Michael
1985
...and 6 more Documents
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### Cited by 1,596 Authors

 46 Christ, Michael 34 Yang, Dachun 31 Seeger, Andreas 24 Hofmann, Steve 23 Oh, Tadahiro 22 Duong, Xuan Thinh 22 Himonas, A. Alexandrou 21 Li, Ji 20 Lu, Shanzhen 20 Yan, Lixin 19 Wright, James Robert 19 Yan, Dunyan 18 Stein, Elias Menachem 17 Fan, Dashan 16 Ding, Yong 16 Greenblatt, Michael 16 Lee, Sanghyuk 16 Pan, Yibiao 15 Bez, Neal 15 Chen, Jiecheng 15 Martell, José María (Chema) 15 Sikora, Adam S. 15 Tao, Terence 15 Wainger, Stephen 15 Xue, Qingying 14 Aimar, Hugo A. 14 Grafakos, Loukas 14 The Anh Bui 13 Han, Yongsheng 13 Martini, Alessio 13 Tolsa, Xavier 12 Fu, Zunwei 12 Martikainen, Henri 12 Müller, Detlef 12 Petronilho, Gerson 12 Wang, Yuzhao 11 Azzam, Jonas 11 Bennett, Jonathan M. 11 Burq, Nicolas 11 Chen, Peng 11 Gressman, Philip T. 11 Raich, Andrew S. 11 Ricci, Fulvio 11 Zhao, Fayou 10 Dong, Hongjie 10 Guo, Shaoming 10 Han, Yanchang 10 Hussain, Amjad 10 Li, Junfeng 10 Oberlin, Daniel M. 10 Sawyer, Eric T. 10 Seo, Ihyeok 10 Shi, Shaoguang 10 Sogge, Christopher D. 10 Street, Brian 10 Tzvetkov, Nikolay 10 Vega, Luis 10 Volberg, Alexander Lvovich 10 Yu, Haixia 9 Banica, Valeria 9 Chen, Yanping 9 Hytönen, Tuomas P. 9 Kiselev, Alexander A. 9 Lu, Guozhen 9 Mourgoglou, Mihalis 9 Oliveira e Silva, Diogo 9 Simon, Barry 9 Stovall, Betsy 9 Tartakoff, David S. 9 Wu, Qingyan 9 Zampieri, Giuseppe 9 Zhang, Junyong 9 Zhou, Yuan 8 Carbery, Anthony 8 Cheng, Leslie C. 8 Dodson, Benjamin G. 8 Erdoğan, Mehmet Burak 8 Guo, Zihua 8 Honzík, Petr 8 Kenig, Carlos Eduardo 8 Li, Kangwei 8 Nazarov, Fedor L. 8 Ruzhansky, Michael V. 8 Toro, Tatiana 8 Torres, Rodolfo H. 8 Ward, Lesley A. 8 Yuan, Wen 8 Zhao, Jiman 8 Zheng, Jiqiang 7 Bak, Jong-Guk 7 Baracco, Luca 7 Bényi, Árpád 7 Bove, Antonio 7 Carles, Rémi 7 Carvajal, Xavier Paredes 7 Chang, Der-Chen E. 7 Cruz-Uribe, David Vincente 7 Demeter, Ciprian 7 Fanelli, Luca 7 Heo, Yaryong ...and 1,496 more Authors
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### Cited in 252 Serials

 134 Journal of Functional Analysis 100 The Journal of Geometric Analysis 99 Journal of Mathematical Analysis and Applications 96 Transactions of the American Mathematical Society 90 Proceedings of the American Mathematical Society 68 Advances in Mathematics 57 The Journal of Fourier Analysis and Applications 50 Duke Mathematical Journal 46 Journal of Differential Equations 45 Revista Matemática Iberoamericana 42 Mathematische Annalen 41 Journal d’Analyse Mathématique 39 Communications in Partial Differential Equations 35 Mathematische Zeitschrift 28 Communications in Mathematical Physics 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Acta Mathematica Sinica. English Series 23 Potential Analysis 21 Discrete and Continuous Dynamical Systems 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 Annales de l’Institut Fourier 17 Mathematische Nachrichten 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 16 Journal of the American Mathematical Society 16 Science China. Mathematics 14 Forum Mathematicum 14 Journal of the European Mathematical Society (JEMS) 14 Communications on Pure and Applied Analysis 13 Integral Equations and Operator Theory 13 Inventiones Mathematicae 13 Memoirs of the American Mathematical Society 12 Calculus of Variations and Partial Differential Equations 12 Journal of Function Spaces 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Acta Mathematica 11 Journal of Inequalities and Applications 11 Frontiers of Mathematics in China 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Tohoku Mathematical Journal. Second Series 10 Geometric and Functional Analysis. GAFA 10 Journal of Evolution Equations 9 Journal of Mathematical Physics 9 Arkiv för Matematik 9 Journal of Approximation Theory 9 Constructive Approximation 9 Applied Mathematics. Series B (English Edition) 9 Mathematical Inequalities & Applications 9 Annals of Mathematics. Second Series 9 Analysis & PDE 8 Collectanea Mathematica 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Complex Variables and Elliptic Equations 8 Journal of Pseudo-Differential Operators and Applications 7 Rocky Mountain Journal of Mathematics 7 Studia Mathematica 7 Journal für die Reine und Angewandte Mathematik 7 SIAM Journal on Mathematical Analysis 7 Journal of Function Spaces and Applications 6 Illinois Journal of Mathematics 6 Indiana University Mathematics Journal 6 Journal of the Mathematical Society of Japan 6 Monatshefte für Mathematik 6 St. Petersburg Mathematical Journal 6 NoDEA. Nonlinear Differential Equations and Applications 6 Bulletin des Sciences Mathématiques 6 Journal of the Australian Mathematical Society 5 Bulletin of the Australian Mathematical Society 5 Israel Journal of Mathematics 5 Mathematical Notes 5 Rendiconti del Seminario Matemàtico e Fisico di Milano 5 Science in China. Series A 5 Bulletin of the American Mathematical Society. New Series 5 Abstract and Applied Analysis 5 Taiwanese Journal of Mathematics 5 Communications in Contemporary Mathematics 5 Journal of Mathematical Inequalities 5 Banach Journal of Mathematical Analysis 5 Forum of Mathematics, Sigma 4 Analysis Mathematica 4 Mathematical Methods in the Applied Sciences 4 Nonlinearity 4 Czechoslovak Mathematical Journal 4 Journal of the London Mathematical Society. Second Series 4 Michigan Mathematical Journal 4 Proceedings of the London Mathematical Society. Third Series 4 Chinese Annals of Mathematics. Series B 4 Applied and Computational Harmonic Analysis 4 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 4 Annals of Functional Analysis 4 Bulletin of Mathematical Sciences 4 Analysis and Geometry in Metric Spaces 4 Séminaire Laurent Schwartz. EDP et Applications 3 Applicable Analysis 3 Archive for Rational Mechanics and Analysis 3 Indian Journal of Pure & Applied Mathematics 3 Archiv der Mathematik 3 Canadian Mathematical Bulletin 3 Journal of the Korean Mathematical Society 3 Manuscripta Mathematica 3 Results in Mathematics ...and 152 more Serials
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### Cited in 56 Fields

 937 Harmonic analysis on Euclidean spaces (42-XX) 666 Partial differential equations (35-XX) 312 Operator theory (47-XX) 225 Functional analysis (46-XX) 164 Several complex variables and analytic spaces (32-XX) 148 Abstract harmonic analysis (43-XX) 122 Global analysis, analysis on manifolds (58-XX) 105 Real functions (26-XX) 84 Measure and integration (28-XX) 84 Integral transforms, operational calculus (44-XX) 82 Functions of a complex variable (30-XX) 70 Topological groups, Lie groups (22-XX) 62 Probability theory and stochastic processes (60-XX) 56 Dynamical systems and ergodic theory (37-XX) 54 Potential theory (31-XX) 53 Quantum theory (81-XX) 52 Differential geometry (53-XX) 31 Ordinary differential equations (34-XX) 29 Number theory (11-XX) 28 Convex and discrete geometry (52-XX) 27 Fluid mechanics (76-XX) 19 Integral equations (45-XX) 18 Special functions (33-XX) 17 Difference and functional equations (39-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 15 Numerical analysis (65-XX) 14 Approximations and expansions (41-XX) 13 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 7 Combinatorics (05-XX) 7 Algebraic geometry (14-XX) 7 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 6 History and biography (01-XX) 6 General topology (54-XX) 6 Mechanics of deformable solids (74-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Sequences, series, summability (40-XX) 5 Geometry (51-XX) 4 $$K$$-theory (19-XX) 3 Group theory and generalizations (20-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)