Edit Profile (opens in new tab) Christ, Michael Compute Distance To: Compute 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 all top 5 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 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0758.42009Christ, Michael 289 1990 Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101Christ, Michael; Colliander, James; Tao, Terrence 173 2003 Maximal functions associated to filtrations. Zbl 0974.47025Christ, Michael; Kiselev, Alexander 156 2001 \(L^ p\) bounds for spectral multipliers on nilpotent groups. Zbl 0739.42010Christ, Michael 83 1991 Weak type (1,1) bounds for rough operators. Zbl 0666.47027Christ, Michael 83 1988 Polynomial growth estimates for multilinear singular integral operators. Zbl 0645.42017Christ, Michael; Journé, Jean-Lin 77 1987 Best constants for two nonconvolution inequalities. Zbl 0830.42009Christ, Michael; Grafakos, Loukas 74 1995 The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 69 2008 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001Christ, 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 0745.42008Christ, Michael 63 1990 On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\). Zbl 0737.35011Christ, Michael 52 1991 Multidimensional van der Corput and sublevel set estimates. Zbl 0938.42008Carbery, Anthony; Christ, Michael; Wright, James 51 1999 Hilbert transforms along curves. I: Nilpotent groups. Zbl 0593.43011Christ, Michael 48 1985 On almost everywhere convergence of Bochner-Riesz means in higher dimensions. Zbl 0569.42011Christ, Michael 46 1985 Estimates for the k-plane transform. Zbl 0597.44003Christ, Michael 42 1984 On the restriction of the Fourier transform to curves: Endpoint results and the degenerate case. Zbl 0563.42010Christ, Michael 41 1985 Weak type (1,1) bounds for rough operators. II. Zbl 0695.47052Christ, Michael; Rubio de Francia, José Luis 40 1988 Global \(C^{\infty}\) irregularity of the \(\bar \partial\)–Neumann problem for worm domains. Zbl 0945.32022Christ, Michael 38 1996 Convolution, curvature, and combinatorics: A case study. Zbl 0927.42008Christ, Michael 38 1998 Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods. Zbl 0723.44006Carbery, Anthony; Christ, Michael; Vance, James; Wainger, Stephen; Watson, David K. 36 1989 Power series solution of a nonlinear Schrödinger equation. Zbl 1142.35084Christ, M. 35 2007 Weak (1,1) bounds for oscillatory singular integrals. Zbl 0667.42007Chanillo, Sagun; Christ, Michael 34 1987 A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order. Zbl 1136.35087Christ, Michael; Colliander, James; Tao, Terence 33 2008 Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations. Zbl 0656.42010Christ, 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 0899.34051Christ, Michael; Kiselev, Alexander 32 1998 Singular integral characterizations of Hardy spaces on homogeneous groups. Zbl 0601.43003Christ, Michael; Geller, Daryl 30 1984 \(L^ p\) estimates for maximal functions and Hilbert transforms along flat convex curves in \(R^ 2\). Zbl 0588.44007Carlsson, 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 0878.43008Christ, M.; Müller, D. 28 1996 Certain sums of squares of vector fields fail to be analytic hypoelliptic. Zbl 0762.35017Christ, Michael 27 1991 Regularity properties of the \({\bar \partial}_ b\) equation on weakly pseudoconvex CR manifolds of dimension 3. Zbl 0671.35017Christ, Michael 27 1988 Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009Christ, Michael; Shao, Shuanglin 26 2012 Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities. Zbl 1247.26029Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 24 2010 Pseudodifferential operators on groups with dilations. Zbl 0764.35120Christ, Michael; Geller, Daryl; Głowacki, Paweł; Polin, Larry 23 1992 Intermediate optimal Gevrey exponents occur. Zbl 0893.35021Christ, Michael 22 1997 Weak type endpoint bounds for Bochner-Riesz multipliers. Zbl 0726.42009Christ, Michael 22 1987 On the extremizers of an adjoint Fourier restriction inequality. Zbl 1258.35007Christ, Michael; Shao, Shuanglin 20 2012 WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials. Zbl 0985.34078Christ, Michael; Kiselev, Alexander 19 2001 Counterexamples to analytic hypoellipticity for domains of finite type. Zbl 0758.35024Christ, Michael; Geller, Daryl 19 1992 On multilinear oscillatory integrals, nonsingular and singular. Zbl 1119.42005Christ, Michael; Li, Xiaochun; Tao, Terence; Thiele, Christoph 19 2005 Hilbert transforms along curves. II: A flat case. Zbl 0677.42011Christ, Michael 18 1985 Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect. Zbl 1098.32020Christ, Michael; Fu, Siqi 18 2005 WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065Christ, Michael; Kiselev, Alexander 17 2001 A note on weighted norm inequalities for the Hardy-Littlewood maximal operator. Zbl 0502.42017Christ, Michael; Fefferman, Robert 17 1983 Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076Christ, M.; Kiselev, A. 16 2002 Failure of an endpoint estimate for integrals along curves. Zbl 0871.42017Christ, Michael 14 1995 Extremizers of a Radon transform inequality. Zbl 1303.44001Christ, Michael 14 2014 The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075Christ, Michael; Kiselev, Alexander; Remling, Christian 13 1997 Hypoellipticity in the infinitely degenerate regime. Zbl 1015.32032Christ, Michael 13 2001 A necessary condition for analytic hypoellipticity. Zbl 0841.35026Christ, Michael 13 1994 Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367Christ, Michael; Holmer, Justin; Tataru, Daniel 13 2012 Nilpotent group \(C^*\)-algebras as compact quantum metric spaces. Zbl 1372.46054Christ, Michael; Rieffel, Marc A. 12 2017 Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas 12 2005 A remark on singular Calderón-Zygmund theory. Zbl 0622.42012Christ, Michael; Stein, Elias M. 11 1987 Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains. Zbl 0747.35005Christ, Michael 11 1991 The Szegö projection need not preserve global analyticity. Zbl 0851.32024Christ, Michael 11 1996 Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. Zbl 1285.26035Christ, Michael; Quilodrán, René 11 2014 Inversion in some algebras of singular integral operators. Zbl 0703.43001Christ, Michael 10 1988 Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015Christ, Michael; Goldberg, Michael 10 2001 The strong maximal function on a nilpotent group. Zbl 0765.43002Christ, Michael 10 1992 Global analytic hypoellipticity in the presence of symmetry. Zbl 0841.35027Christ, Michael 10 1994 Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019Christ, Michael; Erdoğan, M. Burak 10 2002 A convolution inequality concerning Cantor-Lebesgue measures. Zbl 0644.42011Christ, Michael 9 1985 The extension problem for certain function spaces involving fractional orders of differentiability. Zbl 0548.46025Christ, M. 9 1984 Some non-analytic-hypoelliptic sums of squares of vector fields. Zbl 0767.35003Christ, Michael 9 1992 A class of hypoelliptic PDE admitting non-analytic solutions. Zbl 0804.35022Christ, Michael 9 1992 Necessary conditions for vector-valued operator inequalities in harmonic analysis. Zbl 1099.42020Christ, Michael; Seeger, Andreas 9 2006 Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles. Zbl 1043.32023Christ, Michael 7 2003 Remarks on global irregularity in the \(\bar\partial\)-Neumann problem. Zbl 0959.32041Christ, Michael 7 1999 Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem. Zbl 0802.35025Christ, Michael 7 1993 Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group. Zbl 1342.26042Christ, Michael; Liu, Heping; Zhang, An 7 2016 On the regularity of inverses of singular integral operators. Zbl 0673.42011Christ, Michael 7 1988 Hypoellipticity of the Kohn Laplacian for three-dimensional tubular Cauchy-Riemann structures. Zbl 1038.32031Christ, Michael 7 2002 Pointwise estimates for the relative fundamental solution of \({\bar \partial}_ b\). Zbl 0694.35003Christ, Michael 6 1988 Temporal regularity for random walk on discrete nilpotent groups. Zbl 0889.60007Christ, Michael 6 1995 Weighted norm inequalities and Schur’s lemma. Zbl 0555.42008Christ, Michael 6 1984 Hypoellipticity: Geometrization and speculation. Zbl 0965.47033Christ, Michael 6 2000 Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups. Zbl 1329.26028Christ, Michael; Liu, Heping; Zhang, An 6 2016 Embedding compact three-dimensional CR manifolds of finite type in \({\mathbb{C}}^ n\). Zbl 0668.32019Christ, Michael 6 1989 Near equality in the Riesz-Sobolev inequality. Zbl 1423.26038Christ, Michael 5 2019 On trilinear oscillatory integrals. Zbl 1321.42027Christ, Michael; Oliveira e Silva, Diogo 5 2014 Nonexistence of invariant analytic hypoelliptic differential operators on nilpotent groups of step greater than two. Zbl 0835.22007Christ, Michael 5 1995 Absolutely continuous spectrum of Stark operators. Zbl 1046.34095Christ, Michael; Kiselev, Alexander 5 2003 Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics. Zbl 1429.32030Christ, Michael 5 2018 Near-extremizers of Young’s inequality for Euclidean groups. Zbl 1431.42014Christ, Michael 5 2019 Examples pertaining to Gevrey hypoellipticity. Zbl 0897.35021Christ, Michael 4 1997 Characterization of \(H^ 1\) by singular integrals: Necessary conditions. Zbl 0573.43005Christ, Michael 4 1984 On the \(\bar \partial{} _ b\) equation for three-dimensional CR manifolds. Zbl 0747.32009Christ, Michael 4 1991 Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004Christ, Michael; Erdoğan, M. Burak 4 2008 On certain elementary trilinear operators. Zbl 1014.42015Christ, Michael 3 2001 Approximate eigenvectors and spectral theory. Zbl 1056.35129Christ, M.; Kiselev, A.; Last, Y. 3 2000 Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type. Zbl 1297.26046Christ, Michael; Flock, Taryn C. 3 2014 Examples of singular maximal functions unbounded on \(L^ p\). Zbl 0722.42009Christ, Michael 3 1991 On local and global analytic and Gevrey hypoellipticity. Zbl 0881.35026Christ, Michael 2 1995 Examples of analytic non-hypoellipticity of \(\bar{\partial}_ b\). Zbl 0808.35021Christ, Michael 2 1994 Remarks on the breakdown of analyticity for \(\overline\partial_ b\) and Szegö kernels. Zbl 0778.32006Christ, Michael 2 1991 Alberto Pedro Calderón (1920-1998). Zbl 0973.01072Christ, Michael; Kenig, Carlos E.; Sadosky, Cora; Weiss, Guido 2 1998 Smoothness of extremizers of a convolution inequality. Zbl 1234.42010Christ, Michael; Xue, Qingying 2 2012 Off-diagonal decay of Bergman kernels: on a question of Zelditch. Zbl 1429.32003Christ, Michael 2 2018 Endpoint Lebesgue estimates for weighted averages on polynomial curves. Zbl 1465.44002Christ, Michael; Dendrinos, Spyridon; Stovall, Betsy; Street, Brian 2 2020 Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038Christ, Michael; Karadzhov, G. E.; Müller, Detlef 1 1996 On Young’s convolution inequality for Heisenberg groups. Zbl 1483.39011Christ, Michael 1 2021 Young’s inequality sharpened. Zbl 1479.39030Christ, Michael 1 2021 Endpoint Lebesgue estimates for weighted averages on polynomial curves. Zbl 1465.44002Christ, Michael; Dendrinos, Spyridon; Stovall, Betsy; Street, Brian 2 2020 Near equality in the Riesz-Sobolev inequality. Zbl 1423.26038Christ, Michael 5 2019 Near-extremizers of Young’s inequality for Euclidean groups. Zbl 1431.42014Christ, Michael 5 2019 Subsets of Euclidean space with nearly maximal Gowers norms. Zbl 1423.26037Christ, Michael 1 2019 Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics. Zbl 1429.32030Christ, Michael 5 2018 Off-diagonal decay of Bergman kernels: on a question of Zelditch. Zbl 1429.32003Christ, Michael 2 2018 Nilpotent group \(C^*\)-algebras as compact quantum metric spaces. Zbl 1372.46054Christ, Michael; Rieffel, Marc A. 12 2017 Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group. Zbl 1342.26042Christ, Michael; Liu, Heping; Zhang, An 7 2016 Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups. Zbl 1329.26028Christ, Michael; Liu, Heping; Zhang, An 6 2016 Extremizers of a Radon transform inequality. Zbl 1303.44001Christ, Michael 14 2014 Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. Zbl 1285.26035Christ, Michael; Quilodrán, René 11 2014 On trilinear oscillatory integrals. Zbl 1321.42027Christ, Michael; Oliveira e Silva, Diogo 5 2014 Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type. Zbl 1297.26046Christ, Michael; Flock, Taryn C. 3 2014 Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009Christ, Michael; Shao, Shuanglin 26 2012 On the extremizers of an adjoint Fourier restriction inequality. Zbl 1258.35007Christ, Michael; Shao, Shuanglin 20 2012 Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367Christ, Michael; Holmer, Justin; Tataru, Daniel 13 2012 Smoothness of extremizers of a convolution inequality. Zbl 1234.42010Christ, Michael; Xue, Qingying 2 2012 Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities. Zbl 1247.26029Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 24 2010 The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006Bennett, 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 1136.35087Christ, Michael; Colliander, James; Tao, Terence 33 2008 Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004Christ, Michael; Erdoğan, M. Burak 4 2008 Power series solution of a nonlinear Schrödinger equation. Zbl 1142.35084Christ, M. 35 2007 Necessary conditions for vector-valued operator inequalities in harmonic analysis. Zbl 1099.42020Christ, Michael; Seeger, Andreas 9 2006 On multilinear oscillatory integrals, nonsingular and singular. Zbl 1119.42005Christ, 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 1098.32020Christ, Michael; Fu, Siqi 18 2005 Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas 12 2005 Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101Christ, Michael; Colliander, James; Tao, Terrence 173 2003 Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles. Zbl 1043.32023Christ, Michael 7 2003 Absolutely continuous spectrum of Stark operators. Zbl 1046.34095Christ, Michael; Kiselev, Alexander 5 2003 Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076Christ, M.; Kiselev, A. 16 2002 Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019Christ, Michael; Erdoğan, M. Burak 10 2002 Hypoellipticity of the Kohn Laplacian for three-dimensional tubular Cauchy-Riemann structures. Zbl 1038.32031Christ, Michael 7 2002 Maximal functions associated to filtrations. Zbl 0974.47025Christ, Michael; Kiselev, Alexander 156 2001 WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials. Zbl 0985.34078Christ, Michael; Kiselev, Alexander 19 2001 WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065Christ, Michael; Kiselev, Alexander 17 2001 Hypoellipticity in the infinitely degenerate regime. Zbl 1015.32032Christ, Michael 13 2001 Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015Christ, Michael; Goldberg, Michael 10 2001 On certain elementary trilinear operators. Zbl 1014.42015Christ, Michael 3 2001 Hypoellipticity: Geometrization and speculation. Zbl 0965.47033Christ, Michael 6 2000 Approximate eigenvectors and spectral theory. Zbl 1056.35129Christ, M.; Kiselev, A.; Last, Y. 3 2000 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 65 1999 Multidimensional van der Corput and sublevel set estimates. Zbl 0938.42008Carbery, Anthony; Christ, Michael; Wright, James 51 1999 Remarks on global irregularity in the \(\bar\partial\)-Neumann problem. Zbl 0959.32041Christ, Michael 7 1999 Convolution, curvature, and combinatorics: A case study. Zbl 0927.42008Christ, Michael 38 1998 Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051Christ, Michael; Kiselev, Alexander 32 1998 Alberto Pedro Calderón (1920-1998). Zbl 0973.01072Christ, Michael; Kenig, Carlos E.; Sadosky, Cora; Weiss, Guido 2 1998 Intermediate optimal Gevrey exponents occur. Zbl 0893.35021Christ, Michael 22 1997 The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075Christ, Michael; Kiselev, Alexander; Remling, Christian 13 1997 Examples pertaining to Gevrey hypoellipticity. Zbl 0897.35021Christ, Michael 4 1997 Global \(C^{\infty}\) irregularity of the \(\bar \partial\)–Neumann problem for worm domains. Zbl 0945.32022Christ, Michael 38 1996 On \(L^ p\) spectral multipliers for a solvable Lie group. Zbl 0878.43008Christ, M.; Müller, D. 28 1996 The Szegö projection need not preserve global analyticity. Zbl 0851.32024Christ, Michael 11 1996 Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038Christ, Michael; Karadzhov, G. E.; Müller, Detlef 1 1996 A progress report on analytic hypoellipticity. Zbl 0924.47029Christ, Michael 1 1996 Best constants for two nonconvolution inequalities. Zbl 0830.42009Christ, Michael; Grafakos, Loukas 74 1995 Failure of an endpoint estimate for integrals along curves. Zbl 0871.42017Christ, Michael 14 1995 Temporal regularity for random walk on discrete nilpotent groups. Zbl 0889.60007Christ, Michael 6 1995 Nonexistence of invariant analytic hypoelliptic differential operators on nilpotent groups of step greater than two. Zbl 0835.22007Christ, Michael 5 1995 On local and global analytic and Gevrey hypoellipticity. Zbl 0881.35026Christ, Michael 2 1995 Remarks on analytic hypoellipticity of \(\overline {\partial}_ b\). Zbl 0868.32021Christ, Michael 1 1995 A necessary condition for analytic hypoellipticity. Zbl 0841.35026Christ, Michael 13 1994 Global analytic hypoellipticity in the presence of symmetry. Zbl 0841.35027Christ, Michael 10 1994 Examples of analytic non-hypoellipticity of \(\bar{\partial}_ b\). Zbl 0808.35021Christ, Michael 2 1994 Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem. Zbl 0802.35025Christ, Michael 7 1993 Pseudodifferential operators on groups with dilations. Zbl 0764.35120Christ, Michael; Geller, Daryl; Głowacki, Paweł; Polin, Larry 23 1992 Counterexamples to analytic hypoellipticity for domains of finite type. Zbl 0758.35024Christ, Michael; Geller, Daryl 19 1992 The strong maximal function on a nilpotent group. Zbl 0765.43002Christ, Michael 10 1992 Some non-analytic-hypoelliptic sums of squares of vector fields. Zbl 0767.35003Christ, Michael 9 1992 A class of hypoelliptic PDE admitting non-analytic solutions. Zbl 0804.35022Christ, Michael 9 1992 \(L^ p\) bounds for spectral multipliers on nilpotent groups. Zbl 0739.42010Christ, Michael 83 1991 On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\). Zbl 0737.35011Christ, Michael 52 1991 Certain sums of squares of vector fields fail to be analytic hypoelliptic. Zbl 0762.35017Christ, Michael 27 1991 Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains. Zbl 0747.35005Christ, Michael 11 1991 On the \(\bar \partial{} _ b\) equation for three-dimensional CR manifolds. Zbl 0747.32009Christ, Michael 4 1991 Examples of singular maximal functions unbounded on \(L^ p\). Zbl 0722.42009Christ, Michael 3 1991 Remarks on the breakdown of analyticity for \(\overline\partial_ b\) and Szegö kernels. Zbl 0778.32006Christ, Michael 2 1991 Precise analysis of \(\bar \partial{}_ b\) and \(\bar \partial\) on domains of finite type in \(\mathbb{C}{}^ 2\). Zbl 0743.32016Christ, Michael 1 1991 A \(T(b)\) theorem with remarks on analytic capacity and the Cauchy integral. Zbl 0758.42009Christ, 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 0745.42008Christ, Michael 63 1990 Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods. Zbl 0723.44006Carbery, 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 0668.32019Christ, Michael 6 1989 Weak type (1,1) bounds for rough operators. Zbl 0666.47027Christ, Michael 83 1988 Weak type (1,1) bounds for rough operators. II. Zbl 0695.47052Christ, 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 0671.35017Christ, Michael 27 1988 Inversion in some algebras of singular integral operators. Zbl 0703.43001Christ, Michael 10 1988 On the regularity of inverses of singular integral operators. Zbl 0673.42011Christ, Michael 7 1988 Pointwise estimates for the relative fundamental solution of \({\bar \partial}_ b\). Zbl 0694.35003Christ, Michael 6 1988 Polynomial growth estimates for multilinear singular integral operators. Zbl 0645.42017Christ, Michael; Journé, Jean-Lin 77 1987 Weak (1,1) bounds for oscillatory singular integrals. Zbl 0667.42007Chanillo, Sagun; Christ, Michael 34 1987 Weak type endpoint bounds for Bochner-Riesz multipliers. Zbl 0726.42009Christ, Michael 22 1987 A remark on singular Calderón-Zygmund theory. Zbl 0622.42012Christ, Michael; Stein, Elias M. 11 1987 Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations. Zbl 0656.42010Christ, 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 0588.44007Carlsson, 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 0593.43011Christ, Michael 48 1985 On almost everywhere convergence of Bochner-Riesz means in higher dimensions. Zbl 0569.42011Christ, Michael 46 1985 On the restriction of the Fourier transform to curves: Endpoint results and the degenerate case. Zbl 0563.42010Christ, Michael 41 1985 Hilbert transforms along curves. II: A flat case. Zbl 0677.42011Christ, Michael 18 1985 A convolution inequality concerning Cantor-Lebesgue measures. Zbl 0644.42011Christ, Michael 9 1985 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 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. 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