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Author ID: christ.michael Recent zbMATH articles by "Christ, Michael"
Published as: Christ, Michael; Christ, M.; Christ, Mike
all top 5

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

Publications by Year

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
289
1990
Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101
Christ, Michael; Colliander, James; Tao, Terrence
173
2003
Maximal functions associated to filtrations. Zbl 0974.47025
Christ, Michael; Kiselev, Alexander
156
2001
\(L^ p\) bounds for spectral multipliers on nilpotent groups. Zbl 0739.42010
Christ, Michael
83
1991
Weak type (1,1) bounds for rough operators. Zbl 0666.47027
Christ, Michael
83
1988
Polynomial growth estimates for multilinear singular integral operators. Zbl 0645.42017
Christ, Michael; Journé, Jean-Lin
77
1987
Best constants for two nonconvolution inequalities. Zbl 0830.42009
Christ, Michael; Grafakos, Loukas
74
1995
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
69
2008
Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001
Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
65
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
63
1990
On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\). Zbl 0737.35011
Christ, Michael
52
1991
Multidimensional van der Corput and sublevel set estimates. Zbl 0938.42008
Carbery, Anthony; Christ, Michael; Wright, James
51
1999
Hilbert transforms along curves. I: Nilpotent groups. Zbl 0593.43011
Christ, Michael
48
1985
On almost everywhere convergence of Bochner-Riesz means in higher dimensions. Zbl 0569.42011
Christ, Michael
46
1985
Estimates for the k-plane transform. Zbl 0597.44003
Christ, Michael
42
1984
On the restriction of the Fourier transform to curves: Endpoint results and the degenerate case. Zbl 0563.42010
Christ, Michael
41
1985
Weak type (1,1) bounds for rough operators. II. Zbl 0695.47052
Christ, Michael; Rubio de Francia, José Luis
40
1988
Global \(C^{\infty}\) irregularity of the \(\bar \partial\)–Neumann problem for worm domains. Zbl 0945.32022
Christ, Michael
38
1996
Convolution, curvature, and combinatorics: A case study. Zbl 0927.42008
Christ, Michael
38
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.
36
1989
Power series solution of a nonlinear Schrödinger equation. Zbl 1142.35084
Christ, M.
35
2007
Weak (1,1) bounds for oscillatory singular integrals. Zbl 0667.42007
Chanillo, Sagun; Christ, Michael
34
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
33
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.
33
1986
Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051
Christ, Michael; Kiselev, Alexander
32
1998
Singular integral characterizations of Hardy spaces on homogeneous groups. Zbl 0601.43003
Christ, Michael; Geller, Daryl
30
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
29
1986
On \(L^ p\) spectral multipliers for a solvable Lie group. Zbl 0878.43008
Christ, M.; Müller, D.
28
1996
Certain sums of squares of vector fields fail to be analytic hypoelliptic. Zbl 0762.35017
Christ, Michael
27
1991
Regularity properties of the \({\bar \partial}_ b\) equation on weakly pseudoconvex CR manifolds of dimension 3. Zbl 0671.35017
Christ, Michael
27
1988
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
26
2012
Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities. Zbl 1247.26029
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
24
2010
Pseudodifferential operators on groups with dilations. Zbl 0764.35120
Christ, Michael; Geller, Daryl; Głowacki, Paweł; Polin, Larry
23
1992
Intermediate optimal Gevrey exponents occur. Zbl 0893.35021
Christ, Michael
22
1997
Weak type endpoint bounds for Bochner-Riesz multipliers. Zbl 0726.42009
Christ, Michael
22
1987
On the extremizers of an adjoint Fourier restriction inequality. Zbl 1258.35007
Christ, Michael; Shao, Shuanglin
20
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
19
2001
Counterexamples to analytic hypoellipticity for domains of finite type. Zbl 0758.35024
Christ, Michael; Geller, Daryl
19
1992
On multilinear oscillatory integrals, nonsingular and singular. Zbl 1119.42005
Christ, Michael; Li, Xiaochun; Tao, Terence; Thiele, Christoph
19
2005
Hilbert transforms along curves. II: A flat case. Zbl 0677.42011
Christ, Michael
18
1985
Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect. Zbl 1098.32020
Christ, Michael; Fu, Siqi
18
2005
WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065
Christ, Michael; Kiselev, Alexander
17
2001
A note on weighted norm inequalities for the Hardy-Littlewood maximal operator. Zbl 0502.42017
Christ, Michael; Fefferman, Robert
17
1983
Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076
Christ, M.; Kiselev, A.
16
2002
Failure of an endpoint estimate for integrals along curves. Zbl 0871.42017
Christ, Michael
14
1995
Extremizers of a Radon transform inequality. Zbl 1303.44001
Christ, Michael
14
2014
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
13
1997
Hypoellipticity in the infinitely degenerate regime. Zbl 1015.32032
Christ, Michael
13
2001
A necessary condition for analytic hypoellipticity. Zbl 0841.35026
Christ, Michael
13
1994
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
13
2012
Nilpotent group \(C^*\)-algebras as compact quantum metric spaces. Zbl 1372.46054
Christ, Michael; Rieffel, Marc A.
12
2017
Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011
Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas
12
2005
A remark on singular Calderón-Zygmund theory. Zbl 0622.42012
Christ, Michael; Stein, Elias M.
11
1987
Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains. Zbl 0747.35005
Christ, Michael
11
1991
The Szegö projection need not preserve global analyticity. Zbl 0851.32024
Christ, Michael
11
1996
Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. Zbl 1285.26035
Christ, Michael; Quilodrán, René
11
2014
Inversion in some algebras of singular integral operators. Zbl 0703.43001
Christ, Michael
10
1988
Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015
Christ, Michael; Goldberg, Michael
10
2001
The strong maximal function on a nilpotent group. Zbl 0765.43002
Christ, Michael
10
1992
Global analytic hypoellipticity in the presence of symmetry. Zbl 0841.35027
Christ, Michael
10
1994
Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019
Christ, Michael; Erdoğan, M. Burak
10
2002
A convolution inequality concerning Cantor-Lebesgue measures. Zbl 0644.42011
Christ, Michael
9
1985
The extension problem for certain function spaces involving fractional orders of differentiability. Zbl 0548.46025
Christ, M.
9
1984
Some non-analytic-hypoelliptic sums of squares of vector fields. Zbl 0767.35003
Christ, Michael
9
1992
A class of hypoelliptic PDE admitting non-analytic solutions. Zbl 0804.35022
Christ, Michael
9
1992
Necessary conditions for vector-valued operator inequalities in harmonic analysis. Zbl 1099.42020
Christ, Michael; Seeger, Andreas
9
2006
Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles. Zbl 1043.32023
Christ, Michael
7
2003
Remarks on global irregularity in the \(\bar\partial\)-Neumann problem. Zbl 0959.32041
Christ, Michael
7
1999
Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem. Zbl 0802.35025
Christ, Michael
7
1993
Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group. Zbl 1342.26042
Christ, Michael; Liu, Heping; Zhang, An
7
2016
On the regularity of inverses of singular integral operators. Zbl 0673.42011
Christ, Michael
7
1988
Hypoellipticity of the Kohn Laplacian for three-dimensional tubular Cauchy-Riemann structures. Zbl 1038.32031
Christ, Michael
7
2002
Pointwise estimates for the relative fundamental solution of \({\bar \partial}_ b\). Zbl 0694.35003
Christ, Michael
6
1988
Temporal regularity for random walk on discrete nilpotent groups. Zbl 0889.60007
Christ, Michael
6
1995
Weighted norm inequalities and Schur’s lemma. Zbl 0555.42008
Christ, Michael
6
1984
Hypoellipticity: Geometrization and speculation. Zbl 0965.47033
Christ, Michael
6
2000
Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups. Zbl 1329.26028
Christ, Michael; Liu, Heping; Zhang, An
6
2016
Embedding compact three-dimensional CR manifolds of finite type in \({\mathbb{C}}^ n\). Zbl 0668.32019
Christ, Michael
6
1989
Near equality in the Riesz-Sobolev inequality. Zbl 1423.26038
Christ, Michael
5
2019
On trilinear oscillatory integrals. Zbl 1321.42027
Christ, Michael; Oliveira e Silva, Diogo
5
2014
Nonexistence of invariant analytic hypoelliptic differential operators on nilpotent groups of step greater than two. Zbl 0835.22007
Christ, Michael
5
1995
Absolutely continuous spectrum of Stark operators. Zbl 1046.34095
Christ, Michael; Kiselev, Alexander
5
2003
Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics. Zbl 1429.32030
Christ, Michael
5
2018
Near-extremizers of Young’s inequality for Euclidean groups. Zbl 1431.42014
Christ, Michael
5
2019
Examples pertaining to Gevrey hypoellipticity. Zbl 0897.35021
Christ, Michael
4
1997
Characterization of \(H^ 1\) by singular integrals: Necessary conditions. Zbl 0573.43005
Christ, Michael
4
1984
On the \(\bar \partial{} _ b\) equation for three-dimensional CR manifolds. Zbl 0747.32009
Christ, Michael
4
1991
Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004
Christ, Michael; Erdoğan, M. Burak
4
2008
On certain elementary trilinear operators. Zbl 1014.42015
Christ, Michael
3
2001
Approximate eigenvectors and spectral theory. Zbl 1056.35129
Christ, M.; Kiselev, A.; Last, Y.
3
2000
Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type. Zbl 1297.26046
Christ, Michael; Flock, Taryn C.
3
2014
Examples of singular maximal functions unbounded on \(L^ p\). Zbl 0722.42009
Christ, Michael
3
1991
On local and global analytic and Gevrey hypoellipticity. Zbl 0881.35026
Christ, Michael
2
1995
Examples of analytic non-hypoellipticity of \(\bar{\partial}_ b\). Zbl 0808.35021
Christ, Michael
2
1994
Remarks on the breakdown of analyticity for \(\overline\partial_ b\) and Szegö kernels. Zbl 0778.32006
Christ, Michael
2
1991
Alberto Pedro Calderón (1920-1998). Zbl 0973.01072
Christ, Michael; Kenig, Carlos E.; Sadosky, Cora; Weiss, Guido
2
1998
Smoothness of extremizers of a convolution inequality. Zbl 1234.42010
Christ, Michael; Xue, Qingying
2
2012
Off-diagonal decay of Bergman kernels: on a question of Zelditch. Zbl 1429.32003
Christ, Michael
2
2018
Endpoint Lebesgue estimates for weighted averages on polynomial curves. Zbl 1465.44002
Christ, Michael; Dendrinos, Spyridon; Stovall, Betsy; Street, Brian
2
2020
Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038
Christ, Michael; Karadzhov, G. E.; Müller, Detlef
1
1996
On Young’s convolution inequality for Heisenberg groups. Zbl 1483.39011
Christ, Michael
1
2021
Young’s inequality sharpened. Zbl 1479.39030
Christ, Michael
1
2021
Endpoint Lebesgue estimates for weighted averages on polynomial curves. Zbl 1465.44002
Christ, Michael; Dendrinos, Spyridon; Stovall, Betsy; Street, Brian
2
2020
Near equality in the Riesz-Sobolev inequality. Zbl 1423.26038
Christ, Michael
5
2019
Near-extremizers of Young’s inequality for Euclidean groups. Zbl 1431.42014
Christ, Michael
5
2019
Subsets of Euclidean space with nearly maximal Gowers norms. Zbl 1423.26037
Christ, Michael
1
2019
Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics. Zbl 1429.32030
Christ, Michael
5
2018
Off-diagonal decay of Bergman kernels: on a question of Zelditch. Zbl 1429.32003
Christ, Michael
2
2018
Nilpotent group \(C^*\)-algebras as compact quantum metric spaces. Zbl 1372.46054
Christ, Michael; Rieffel, Marc A.
12
2017
Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group. Zbl 1342.26042
Christ, Michael; Liu, Heping; Zhang, An
7
2016
Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups. Zbl 1329.26028
Christ, Michael; Liu, Heping; Zhang, An
6
2016
Extremizers of a Radon transform inequality. Zbl 1303.44001
Christ, Michael
14
2014
Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. Zbl 1285.26035
Christ, Michael; Quilodrán, René
11
2014
On trilinear oscillatory integrals. Zbl 1321.42027
Christ, Michael; Oliveira e Silva, Diogo
5
2014
Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type. Zbl 1297.26046
Christ, Michael; Flock, Taryn C.
3
2014
Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009
Christ, Michael; Shao, Shuanglin
26
2012
On the extremizers of an adjoint Fourier restriction inequality. Zbl 1258.35007
Christ, Michael; Shao, Shuanglin
20
2012
Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367
Christ, Michael; Holmer, Justin; Tataru, Daniel
13
2012
Smoothness of extremizers of a convolution inequality. Zbl 1234.42010
Christ, Michael; Xue, Qingying
2
2012
Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities. Zbl 1247.26029
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
24
2010
The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006
Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence
69
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
33
2008
Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004
Christ, Michael; Erdoğan, M. Burak
4
2008
Power series solution of a nonlinear Schrödinger equation. Zbl 1142.35084
Christ, M.
35
2007
Necessary conditions for vector-valued operator inequalities in harmonic analysis. Zbl 1099.42020
Christ, Michael; Seeger, Andreas
9
2006
On multilinear oscillatory integrals, nonsingular and singular. Zbl 1119.42005
Christ, Michael; Li, Xiaochun; Tao, Terence; Thiele, Christoph
19
2005
Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect. Zbl 1098.32020
Christ, Michael; Fu, Siqi
18
2005
Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011
Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas
12
2005
Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101
Christ, Michael; Colliander, James; Tao, Terrence
173
2003
Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles. Zbl 1043.32023
Christ, Michael
7
2003
Absolutely continuous spectrum of Stark operators. Zbl 1046.34095
Christ, Michael; Kiselev, Alexander
5
2003
Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076
Christ, M.; Kiselev, A.
16
2002
Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019
Christ, Michael; Erdoğan, M. Burak
10
2002
Hypoellipticity of the Kohn Laplacian for three-dimensional tubular Cauchy-Riemann structures. Zbl 1038.32031
Christ, Michael
7
2002
Maximal functions associated to filtrations. Zbl 0974.47025
Christ, Michael; Kiselev, Alexander
156
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
19
2001
WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065
Christ, Michael; Kiselev, Alexander
17
2001
Hypoellipticity in the infinitely degenerate regime. Zbl 1015.32032
Christ, Michael
13
2001
Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015
Christ, Michael; Goldberg, Michael
10
2001
On certain elementary trilinear operators. Zbl 1014.42015
Christ, Michael
3
2001
Hypoellipticity: Geometrization and speculation. Zbl 0965.47033
Christ, Michael
6
2000
Approximate eigenvectors and spectral theory. Zbl 1056.35129
Christ, M.; Kiselev, A.; Last, Y.
3
2000
Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001
Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen
65
1999
Multidimensional van der Corput and sublevel set estimates. Zbl 0938.42008
Carbery, Anthony; Christ, Michael; Wright, James
51
1999
Remarks on global irregularity in the \(\bar\partial\)-Neumann problem. Zbl 0959.32041
Christ, Michael
7
1999
Convolution, curvature, and combinatorics: A case study. Zbl 0927.42008
Christ, Michael
38
1998
Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051
Christ, Michael; Kiselev, Alexander
32
1998
Alberto Pedro Calderón (1920-1998). Zbl 0973.01072
Christ, Michael; Kenig, Carlos E.; Sadosky, Cora; Weiss, Guido
2
1998
Intermediate optimal Gevrey exponents occur. Zbl 0893.35021
Christ, Michael
22
1997
The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075
Christ, Michael; Kiselev, Alexander; Remling, Christian
13
1997
Examples pertaining to Gevrey hypoellipticity. Zbl 0897.35021
Christ, Michael
4
1997
Global \(C^{\infty}\) irregularity of the \(\bar \partial\)–Neumann problem for worm domains. Zbl 0945.32022
Christ, Michael
38
1996
On \(L^ p\) spectral multipliers for a solvable Lie group. Zbl 0878.43008
Christ, M.; Müller, D.
28
1996
The Szegö projection need not preserve global analyticity. Zbl 0851.32024
Christ, Michael
11
1996
Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038
Christ, Michael; Karadzhov, G. E.; Müller, Detlef
1
1996
A progress report on analytic hypoellipticity. Zbl 0924.47029
Christ, Michael
1
1996
Best constants for two nonconvolution inequalities. Zbl 0830.42009
Christ, Michael; Grafakos, Loukas
74
1995
Failure of an endpoint estimate for integrals along curves. Zbl 0871.42017
Christ, Michael
14
1995
Temporal regularity for random walk on discrete nilpotent groups. Zbl 0889.60007
Christ, Michael
6
1995
Nonexistence of invariant analytic hypoelliptic differential operators on nilpotent groups of step greater than two. Zbl 0835.22007
Christ, Michael
5
1995
On local and global analytic and Gevrey hypoellipticity. Zbl 0881.35026
Christ, Michael
2
1995
Remarks on analytic hypoellipticity of \(\overline {\partial}_ b\). Zbl 0868.32021
Christ, Michael
1
1995
A necessary condition for analytic hypoellipticity. Zbl 0841.35026
Christ, Michael
13
1994
Global analytic hypoellipticity in the presence of symmetry. Zbl 0841.35027
Christ, Michael
10
1994
Examples of analytic non-hypoellipticity of \(\bar{\partial}_ b\). Zbl 0808.35021
Christ, Michael
2
1994
Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem. Zbl 0802.35025
Christ, Michael
7
1993
Pseudodifferential operators on groups with dilations. Zbl 0764.35120
Christ, Michael; Geller, Daryl; Głowacki, Paweł; Polin, Larry
23
1992
Counterexamples to analytic hypoellipticity for domains of finite type. Zbl 0758.35024
Christ, Michael; Geller, Daryl
19
1992
The strong maximal function on a nilpotent group. Zbl 0765.43002
Christ, Michael
10
1992
Some non-analytic-hypoelliptic sums of squares of vector fields. Zbl 0767.35003
Christ, Michael
9
1992
A class of hypoelliptic PDE admitting non-analytic solutions. Zbl 0804.35022
Christ, Michael
9
1992
\(L^ p\) bounds for spectral multipliers on nilpotent groups. Zbl 0739.42010
Christ, Michael
83
1991
On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\). Zbl 0737.35011
Christ, Michael
52
1991
Certain sums of squares of vector fields fail to be analytic hypoelliptic. Zbl 0762.35017
Christ, Michael
27
1991
Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains. Zbl 0747.35005
Christ, Michael
11
1991
On the \(\bar \partial{} _ b\) equation for three-dimensional CR manifolds. Zbl 0747.32009
Christ, Michael
4
1991
Examples of singular maximal functions unbounded on \(L^ p\). Zbl 0722.42009
Christ, Michael
3
1991
Remarks on the breakdown of analyticity for \(\overline\partial_ b\) and Szegö kernels. Zbl 0778.32006
Christ, Michael
2
1991
Precise analysis of \(\bar \partial{}_ b\) and \(\bar \partial\) on domains of finite type in \(\mathbb{C}{}^ 2\). Zbl 0743.32016
Christ, Michael
1
1991
A \(T(b)\) theorem with remarks on analytic capacity and the Cauchy integral. Zbl 0758.42009
Christ, Michael
289
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
63
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.
36
1989
Embedding compact three-dimensional CR manifolds of finite type in \({\mathbb{C}}^ n\). Zbl 0668.32019
Christ, Michael
6
1989
Weak type (1,1) bounds for rough operators. Zbl 0666.47027
Christ, Michael
83
1988
Weak type (1,1) bounds for rough operators. II. Zbl 0695.47052
Christ, Michael; Rubio de Francia, José Luis
40
1988
Regularity properties of the \({\bar \partial}_ b\) equation on weakly pseudoconvex CR manifolds of dimension 3. Zbl 0671.35017
Christ, Michael
27
1988
Inversion in some algebras of singular integral operators. Zbl 0703.43001
Christ, Michael
10
1988
On the regularity of inverses of singular integral operators. Zbl 0673.42011
Christ, Michael
7
1988
Pointwise estimates for the relative fundamental solution of \({\bar \partial}_ b\). Zbl 0694.35003
Christ, Michael
6
1988
Polynomial growth estimates for multilinear singular integral operators. Zbl 0645.42017
Christ, Michael; Journé, Jean-Lin
77
1987
Weak (1,1) bounds for oscillatory singular integrals. Zbl 0667.42007
Chanillo, Sagun; Christ, Michael
34
1987
Weak type endpoint bounds for Bochner-Riesz multipliers. Zbl 0726.42009
Christ, Michael
22
1987
A remark on singular Calderón-Zygmund theory. Zbl 0622.42012
Christ, Michael; Stein, Elias M.
11
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.
33
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
29
1986
Hilbert transforms along curves. I: Nilpotent groups. Zbl 0593.43011
Christ, Michael
48
1985
On almost everywhere convergence of Bochner-Riesz means in higher dimensions. Zbl 0569.42011
Christ, Michael
46
1985
On the restriction of the Fourier transform to curves: Endpoint results and the degenerate case. Zbl 0563.42010
Christ, Michael
41
1985
Hilbert transforms along curves. II: A flat case. Zbl 0677.42011
Christ, Michael
18
1985
A convolution inequality concerning Cantor-Lebesgue measures. Zbl 0644.42011
Christ, Michael
9
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)

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