Edit Profile (opens in new tab) Christ, Michael Co-Author Distance Author ID: christ.michael Published as: Christ, Michael; Christ, M.; Christ, Mike more...less Documents Indexed: 157 Publications since 1983, including 1 Book and 34 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 67 Co-Authors with 69 Joint Publications 1,563 Co-Co-Authors all top 5 Co-Authors 92 single-authored 8 Kiselev, Alexander A. 7 Tao, Terence 6 Müller, Detlef 5 Thiele, Christoph Martin 4 Carbery, Anthony 4 Colliander, James E. 3 Geller, Daryl 3 Rubio de Francia, José Luis 3 Wainger, Stephen 2 Bennett, Jonathan M. 2 Demmel, James Weldon 2 Duoandikoetxea, Javier 2 Durcik, Polona 2 Erdoğan, Mehmet Burak 2 Grafakos, Loukas 2 Karadzhov, Georgi Eremiev 2 Kenig, Carlos Eduardo 2 Knight, Nicholas 2 Li, Songying 2 Liu, Heping 2 Roos, Joris 2 Sadosky, Cora 2 Scanlon, Thomas J. 2 Seeger, Andreas 2 Shao, Shuanglin 2 Sogge, Christopher D. 2 Stein, Elias Menachem 2 Vance, James Thomas jun. 2 Yelick, Katherine A. 2 Zhang, An 1 Barron, Alexander 1 Carlsson, Hasse 1 Chanillo, Sagun 1 Charalambides, Marcos 1 Córdoba Barba, Antonio Juan 1 Dendrinos, Spyridon 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 Iliopoulou, Marina 1 Journé, Jean-Lin 1 Kovač, Vjekoslav 1 Last, Yoram 1 Li, Xiaochun 1 Maldague, Dominique 1 Nagel, Alexander 1 Oliveira e Silva, Diogo 1 Pausader, Benoît 1 Pineau, Ben 1 Polin, Larry 1 Quilodrán, René 1 Remling, Christian 1 Rieffel, Marc A. 1 Stovall, Betsy 1 Street, Brian 1 Tataru, Daniel 1 Taylor, Mitchell A. 1 Watson, David K. 1 Weinberg, David Arthur 1 Weiss, Guido Leopold 1 Wright, James Robert 1 Xue, Qingying 1 Zhou, Zirui 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 Journal of Functional Analysis 5 Revista Matemática Iberoamericana 4 Journal of the American Mathematical Society 4 Oberwolfach Reports 3 Advances in Mathematics 3 American Journal of Mathematics 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 2 Arkiv för Matematik 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 Ergodic Theory and Dynamical Systems 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 Journal of Logic and Analysis 1 Libertas Mathematica. New Series all top 5 Fields 68 Harmonic analysis on Euclidean spaces (42-XX) 54 Partial differential equations (35-XX) 27 Several complex variables and analytic spaces (32-XX) 22 Real functions (26-XX) 15 Abstract harmonic analysis (43-XX) 14 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 General and overarching topics; collections (00-XX) 5 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 4 Functions of a complex variable (30-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-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 113 Publications have been cited 3,269 times in 2,470 Documents Cited by ▼ Year ▼ A \(T(b)\) theorem with remarks on analytic capacity and the Cauchy integral. Zbl 0758.42009 Christ, Michael 370 1990 Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101 Christ, Michael; Colliander, James; Tao, Terrence 233 2003 Maximal functions associated to filtrations. Zbl 0974.47025 Christ, Michael; Kiselev, Alexander 199 2001 Weak type (1,1) bounds for rough operators. Zbl 0666.47027 Christ, Michael 110 1988 \(L^ p\) bounds for spectral multipliers on nilpotent groups. Zbl 0739.42010 Christ, Michael 108 1991 The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006 Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 101 2008 Best constants for two nonconvolution inequalities. Zbl 0830.42009 Christ, Michael; Grafakos, Loukas 98 1995 Polynomial growth estimates for multilinear singular integral operators. Zbl 0645.42017 Christ, Michael; Journé, Jean-Lin 92 1987 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 91 1990 Singular and maximal Radon transforms: Analysis and geometry. Zbl 0960.44001 Christ, Michael; Nagel, Alexander; Stein, Elias M.; Wainger, Stephen 80 1999 On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\). Zbl 0737.35011 Christ, Michael 67 1991 Multidimensional van der Corput and sublevel set estimates. Zbl 0938.42008 Carbery, Anthony; Christ, Michael; Wright, James 65 1999 Hilbert transforms along curves. I: Nilpotent groups. Zbl 0593.43011 Christ, Michael 60 1985 On almost everywhere convergence of Bochner-Riesz means in higher dimensions. Zbl 0569.42011 Christ, Michael 58 1985 Weak type (1,1) bounds for rough operators. II. Zbl 0695.47052 Christ, Michael; Rubio de Francia, José Luis 57 1988 On the restriction of the Fourier transform to curves: Endpoint results and the degenerate case. Zbl 0563.42010 Christ, Michael 53 1985 Estimates for the k-plane transform. Zbl 0597.44003 Christ, Michael 48 1984 Power series solution of a nonlinear Schrödinger equation. Zbl 1142.35084 Christ, M. 46 2007 Global \(C^{\infty}\) irregularity of the \(\bar \partial\)–Neumann problem for worm domains. Zbl 0945.32022 Christ, Michael 45 1996 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 44 2008 Convolution, curvature, and combinatorics: A case study. Zbl 0927.42008 Christ, Michael 42 1998 Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities. Zbl 1247.26029 Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 40 2010 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. 39 1986 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. 39 1989 Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051 Christ, Michael; Kiselev, Alexander 38 1998 Pseudodifferential operators on groups with dilations. Zbl 0764.35120 Christ, Michael; Geller, Daryl; Głowacki, Paweł; Polin, Larry 37 1992 Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009 Christ, Michael; Shao, Shuanglin 37 2012 Weak (1,1) bounds for oscillatory singular integrals. Zbl 0667.42007 Chanillo, Sagun; Christ, Michael 36 1987 On \(L^ p\) spectral multipliers for a solvable Lie group. Zbl 0878.43008 Christ, M.; Müller, D. 34 1996 \(L^ p\) 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 33 1986 Singular integral characterizations of Hardy spaces on homogeneous groups. Zbl 0601.43003 Christ, Michael; Geller, Daryl 31 1984 Regularity properties of the \({\bar \partial}_ b\) equation on weakly pseudoconvex CR manifolds of dimension 3. Zbl 0671.35017 Christ, Michael 31 1988 Certain sums of squares of vector fields fail to be analytic hypoelliptic. Zbl 0762.35017 Christ, Michael 27 1991 Intermediate optimal Gevrey exponents occur. Zbl 0893.35021 Christ, Michael 26 1997 On the extremizers of an adjoint Fourier restriction inequality. Zbl 1258.35007 Christ, Michael; Shao, Shuanglin 25 2012 Weak type endpoint bounds for Bochner-Riesz multipliers. Zbl 0726.42009 Christ, Michael 24 1987 On multilinear oscillatory integrals, nonsingular and singular. Zbl 1119.42005 Christ, Michael; Li, Xiaochun; Tao, Terence; Thiele, Christoph 23 2005 Extremizers of a Radon transform inequality. Zbl 1303.44001 Christ, Michael 23 2014 Near equality in the Riesz-Sobolev inequality. Zbl 1423.26038 Christ, Michael 22 2019 Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015 Christ, Michael; Goldberg, Michael 22 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 21 2001 Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect. Zbl 1098.32020 Christ, Michael; Fu, Siqi 20 2005 Counterexamples to analytic hypoellipticity for domains of finite type. Zbl 0758.35024 Christ, Michael; Geller, Daryl 19 1992 WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065 Christ, Michael; Kiselev, Alexander 19 2001 Hilbert transforms along curves. II: A flat case. Zbl 0677.42011 Christ, Michael 19 1985 Hypoellipticity in the infinitely degenerate regime. Zbl 1015.32032 Christ, Michael 18 2001 A note on weighted norm inequalities for the Hardy-Littlewood maximal operator. Zbl 0502.42017 Christ, Michael; Fefferman, Robert 18 1983 Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076 Christ, M.; Kiselev, A. 18 2002 Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. Zbl 1285.26035 Christ, Michael; Quilodrán, René 18 2014 Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011 Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas 17 2005 Necessary conditions for vector-valued operator inequalities in harmonic analysis. Zbl 1099.42020 Christ, Michael; Seeger, Andreas 17 2006 Nilpotent group \(C^*\)-algebras as compact quantum metric spaces. Zbl 1372.46054 Christ, Michael; Rieffel, Marc A. 16 2017 Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367 Christ, Michael; Holmer, Justin; Tataru, Daniel 15 2012 Failure of an endpoint estimate for integrals along curves. Zbl 0871.42017 Christ, Michael 14 1995 The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075 Christ, Michael; Kiselev, Alexander; Remling, Christian 14 1997 Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group. Zbl 1342.26042 Christ, Michael; Liu, Heping; Zhang, An 14 2016 A necessary condition for analytic hypoellipticity. Zbl 0841.35026 Christ, Michael 13 1994 The extension problem for certain function spaces involving fractional orders of differentiability. Zbl 0548.46025 Christ, M. 13 1984 Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups. Zbl 1329.26028 Christ, Michael; Liu, Heping; Zhang, An 12 2016 A remark on singular Calderón-Zygmund theory. Zbl 0622.42012 Christ, Michael; Stein, Elias M. 12 1987 Inversion in some algebras of singular integral operators. Zbl 0703.43001 Christ, Michael 12 1988 The strong maximal function on a nilpotent group. Zbl 0765.43002 Christ, Michael 11 1992 Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains. Zbl 0747.35005 Christ, Michael 11 1991 Global analytic hypoellipticity in the presence of symmetry. Zbl 0841.35027 Christ, Michael 11 1994 The Szegö projection need not preserve global analyticity. Zbl 0851.32024 Christ, Michael 11 1996 Near-extremizers of Young’s inequality for Euclidean groups. Zbl 1431.42014 Christ, Michael 10 2019 A convolution inequality concerning Cantor-Lebesgue measures. Zbl 0644.42011 Christ, Michael 10 1985 Mixed norm estimates for a restricted X-ray transform. Zbl 1037.42019 Christ, Michael; Erdoğan, M. Burak 10 2002 A class of hypoelliptic PDE admitting non-analytic solutions. Zbl 0804.35022 Christ, Michael 9 1992 Some non-analytic-hypoelliptic sums of squares of vector fields. Zbl 0767.35003 Christ, Michael 9 1992 Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles. Zbl 1043.32023 Christ, Michael 9 2003 On the regularity of inverses of singular integral operators. Zbl 0673.42011 Christ, Michael 9 1988 Embedding compact three-dimensional CR manifolds of finite type in \({\mathbb{C}}^ n\). Zbl 0668.32019 Christ, Michael 8 1989 Young’s inequality sharpened. Zbl 1479.39030 Christ, Michael 8 2021 Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics. Zbl 1429.32030 Christ, Michael 7 2018 Absolutely continuous spectrum of Stark operators. Zbl 1046.34095 Christ, Michael; Kiselev, Alexander 7 2003 Temporal regularity for random walk on discrete nilpotent groups. Zbl 0889.60007 Christ, Michael 7 1995 Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem. Zbl 0802.35025 Christ, Michael 7 1993 On trilinear oscillatory integrals. Zbl 1321.42027 Christ, Michael; Oliveira e Silva, Diogo 7 2014 Hypoellipticity of the Kohn Laplacian for three-dimensional tubular Cauchy-Riemann structures. Zbl 1038.32031 Christ, Michael 7 2002 Remarks on global irregularity in the \(\bar\partial\)-Neumann problem. Zbl 0959.32041 Christ, Michael 7 1999 Hypoellipticity: Geometrization and speculation. Zbl 0965.47033 Christ, Michael 6 2000 Weighted norm inequalities and Schur’s lemma. Zbl 0555.42008 Christ, Michael 6 1984 Pointwise estimates for the relative fundamental solution of \({\bar \partial}_ b\). Zbl 0694.35003 Christ, Michael 6 1988 On the \(\bar \partial{} _ b\) equation for three-dimensional CR manifolds. Zbl 0747.32009 Christ, Michael 5 1991 Nonexistence of invariant analytic hypoelliptic differential operators on nilpotent groups of step greater than two. Zbl 0835.22007 Christ, Michael 5 1995 Global endpoint Strichartz estimates for Schrödinger equations on the cylinder \(\mathbb{R} \times \mathbb{T}\). Zbl 1462.35345 Barron, Alexander; Christ, Michael; Pausader, Benoit 5 2021 Examples pertaining to Gevrey hypoellipticity. Zbl 0897.35021 Christ, Michael 4 1997 Endpoint Lebesgue estimates for weighted averages on polynomial curves. Zbl 1465.44002 Christ, Michael; Dendrinos, Spyridon; Stovall, Betsy; Street, Brian 4 2020 Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type. Zbl 1297.26046 Christ, Michael; Flock, Taryn C. 4 2014 On certain elementary trilinear operators. Zbl 1014.42015 Christ, Michael 4 2001 Trilinear smoothing inequalities and a variant of the triangular Hilbert transform. Zbl 1473.42012 Christ, Michael; Durcik, Polona; Roos, Joris 4 2021 Characterization of \(H^ 1\) by singular integrals: Necessary conditions. Zbl 0573.43005 Christ, Michael 4 1984 Mixed norm estimates for certain generalized Radon transforms. Zbl 1221.44004 Christ, Michael; Erdoğan, M. Burak 4 2008 Inequalities of Riesz-Sobolev type for compact connected abelian groups. Zbl 1511.43005 Christ, Michael; Iliopoulou, Marina 4 2022 Approximate eigenvectors and spectral theory. Zbl 1056.35129 Christ, M.; Kiselev, A.; Last, Y. 3 2000 Alberto Pedro Calderón (1920-1998). Zbl 0973.01072 Christ, Michael; Kenig, Carlos E.; Sadosky, Cora; Weiss, Guido 3 1998 On local and global analytic and Gevrey hypoellipticity. Zbl 0881.35026 Christ, Michael 3 1995 On the \({\bar \partial}_ b\) equation and Szegö projection on CR manifolds. Zbl 0701.35116 Christ, Mike 3 1989 Examples of singular maximal functions unbounded on \(L^ p\). Zbl 0722.42009 Christ, Michael 3 1991 Inequalities of Riesz-Sobolev type for compact connected abelian groups. Zbl 1511.43005 Christ, Michael; Iliopoulou, Marina 4 2022 Pointwise convergence of certain continuous-time double ergodic averages. Zbl 1500.37004 Christ, Michael; Durcik, Polona; Kovač, Vjekoslav; Roos, Joris 1 2022 Young’s inequality sharpened. Zbl 1479.39030 Christ, Michael 8 2021 Global endpoint Strichartz estimates for Schrödinger equations on the cylinder \(\mathbb{R} \times \mathbb{T}\). Zbl 1462.35345 Barron, Alexander; Christ, Michael; Pausader, Benoit 5 2021 Trilinear smoothing inequalities and a variant of the triangular Hilbert transform. Zbl 1473.42012 Christ, Michael; Durcik, Polona; Roos, Joris 4 2021 On Young’s convolution inequality for Heisenberg groups. Zbl 1483.39011 Christ, Michael 3 2021 Endpoint Lebesgue estimates for weighted averages on polynomial curves. Zbl 1465.44002 Christ, Michael; Dendrinos, Spyridon; Stovall, Betsy; Street, Brian 4 2020 Near equality in the Riesz-Sobolev inequality. Zbl 1423.26038 Christ, Michael 22 2019 Near-extremizers of Young’s inequality for Euclidean groups. Zbl 1431.42014 Christ, Michael 10 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 7 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. 16 2017 Sharp Hardy-Littlewood-Sobolev inequalities on the octonionic Heisenberg group. Zbl 1342.26042 Christ, Michael; Liu, Heping; Zhang, An 14 2016 Sharp Hardy-Littlewood-Sobolev inequalities on quaternionic Heisenberg groups. Zbl 1329.26028 Christ, Michael; Liu, Heping; Zhang, An 12 2016 Extremizers of a Radon transform inequality. Zbl 1303.44001 Christ, Michael 23 2014 Gaussians rarely extremize adjoint Fourier restriction inequalities for paraboloids. Zbl 1285.26035 Christ, Michael; Quilodrán, René 18 2014 On trilinear oscillatory integrals. Zbl 1321.42027 Christ, Michael; Oliveira e Silva, Diogo 7 2014 Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type. Zbl 1297.26046 Christ, Michael; Flock, Taryn C. 4 2014 Existence of extremals for a Fourier restriction inequality. Zbl 1273.42009 Christ, Michael; Shao, Shuanglin 37 2012 On the extremizers of an adjoint Fourier restriction inequality. Zbl 1258.35007 Christ, Michael; Shao, Shuanglin 25 2012 Low regularity a priori bounds for the modified Korteweg-de Vries equation. Zbl 1284.35367 Christ, Michael; Holmer, Justin; Tataru, Daniel 15 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 40 2010 The Brascamp-Lieb inequalities: Finiteness, structure and extremals. Zbl 1132.26006 Bennett, Jonathan; Carbery, Anthony; Christ, Michael; Tao, Terence 101 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 44 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. 46 2007 Necessary conditions for vector-valued operator inequalities in harmonic analysis. Zbl 1099.42020 Christ, Michael; Seeger, Andreas 17 2006 On multilinear oscillatory integrals, nonsingular and singular. Zbl 1119.42005 Christ, Michael; Li, Xiaochun; Tao, Terence; Thiele, Christoph 23 2005 Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect. Zbl 1098.32020 Christ, Michael; Fu, Siqi 20 2005 Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type. Zbl 1058.42011 Christ, Michael; Grafakos, Loukas; Honzík, Petr; Seeger, Andreas 17 2005 Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations. Zbl 1048.35101 Christ, Michael; Colliander, James; Tao, Terrence 233 2003 Slow off-diagonal decay for Szegö kernels associated to smooth Hermitian line bundles. Zbl 1043.32023 Christ, Michael 9 2003 Absolutely continuous spectrum of Stark operators. Zbl 1046.34095 Christ, Michael; Kiselev, Alexander 7 2003 Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials. Zbl 1039.34076 Christ, M.; Kiselev, A. 18 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 199 2001 Vector \(A_2\) weights and a Hardy-Littlewood maximal function. Zbl 0995.42015 Christ, Michael; Goldberg, Michael 22 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 21 2001 WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials. Zbl 0992.34065 Christ, Michael; Kiselev, Alexander 19 2001 Hypoellipticity in the infinitely degenerate regime. Zbl 1015.32032 Christ, Michael 18 2001 On certain elementary trilinear operators. Zbl 1014.42015 Christ, Michael 4 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 80 1999 Multidimensional van der Corput and sublevel set estimates. Zbl 0938.42008 Carbery, Anthony; Christ, Michael; Wright, James 65 1999 Remarks on global irregularity in the \(\bar\partial\)-Neumann problem. Zbl 0959.32041 Christ, Michael 7 1999 Harmonic analysis and partial differential equations. Essays in honor of Alberto P. Calderón’s 75th birthday. Proceedings of a conference, University of Chicago, IL, USA, February 1996. Zbl 0932.00088 1 1999 Convolution, curvature, and combinatorics: A case study. Zbl 0927.42008 Christ, Michael 42 1998 Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results. Zbl 0899.34051 Christ, Michael; Kiselev, Alexander 38 1998 Alberto Pedro Calderón (1920-1998). Zbl 0973.01072 Christ, Michael; Kenig, Carlos E.; Sadosky, Cora; Weiss, Guido 3 1998 Intermediate optimal Gevrey exponents occur. Zbl 0893.35021 Christ, Michael 26 1997 The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials. Zbl 0892.34075 Christ, Michael; Kiselev, Alexander; Remling, Christian 14 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 45 1996 On \(L^ p\) spectral multipliers for a solvable Lie group. Zbl 0878.43008 Christ, M.; Müller, D. 34 1996 The Szegö projection need not preserve global analyticity. Zbl 0851.32024 Christ, Michael 11 1996 A progress report on analytic hypoellipticity. Zbl 0924.47029 Christ, Michael 2 1996 Infinite dimensional families of locally nonsolvable partial differential operators. Zbl 0859.35038 Christ, Michael; Karadzhov, G. E.; Müller, Detlef 1 1996 Best constants for two nonconvolution inequalities. Zbl 0830.42009 Christ, Michael; Grafakos, Loukas 98 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 7 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 3 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 11 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 37 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 11 1992 A class of hypoelliptic PDE admitting non-analytic solutions. Zbl 0804.35022 Christ, Michael 9 1992 Some non-analytic-hypoelliptic sums of squares of vector fields. Zbl 0767.35003 Christ, Michael 9 1992 \(L^ p\) bounds for spectral multipliers on nilpotent groups. Zbl 0739.42010 Christ, Michael 108 1991 On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\). Zbl 0737.35011 Christ, Michael 67 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 5 1991 Examples of singular maximal functions unbounded on \(L^ p\). Zbl 0722.42009 Christ, Michael 3 1991 Precise analysis of \(\bar \partial{}_ b\) and \(\bar \partial\) on domains of finite type in \(\mathbb{C}{}^ 2\). Zbl 0743.32016 Christ, Michael 2 1991 Remarks on the breakdown of analyticity for \(\overline\partial_ b\) and Szegö kernels. Zbl 0778.32006 Christ, Michael 2 1991 A \(T(b)\) theorem with remarks on analytic capacity and the Cauchy integral. Zbl 0758.42009 Christ, Michael 370 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 91 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. 39 1989 Embedding compact three-dimensional CR manifolds of finite type in \({\mathbb{C}}^ n\). Zbl 0668.32019 Christ, Michael 8 1989 On the \({\bar \partial}_ b\) equation and Szegö projection on CR manifolds. Zbl 0701.35116 Christ, Mike 3 1989 Estimates for fundamental solutions of second-order subelliptic differential operators. Zbl 0691.35003 Christ, Michael 1 1989 Weak type (1,1) bounds for rough operators. Zbl 0666.47027 Christ, Michael 110 1988 Weak type (1,1) bounds for rough operators. II. Zbl 0695.47052 Christ, Michael; Rubio de Francia, José Luis 57 1988 Regularity properties of the \({\bar \partial}_ b\) equation on weakly pseudoconvex CR manifolds of dimension 3. Zbl 0671.35017 Christ, Michael 31 1988 Inversion in some algebras of singular integral operators. Zbl 0703.43001 Christ, Michael 12 1988 On the regularity of inverses of singular integral operators. Zbl 0673.42011 Christ, Michael 9 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 92 1987 Weak (1,1) bounds for oscillatory singular integrals. Zbl 0667.42007 Chanillo, Sagun; Christ, Michael 36 1987 Weak type endpoint bounds for Bochner-Riesz multipliers. Zbl 0726.42009 Christ, Michael 24 1987 A remark on singular Calderón-Zygmund theory. Zbl 0622.42012 Christ, Michael; Stein, Elias M. 12 1987 ...and 13 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,006 Authors 51 Christ, Michael 41 Yang, Dachun 34 Seeger, Andreas 32 Hofmann, Steve 27 Oh, Tadahiro 26 Duong, Xuan Thinh 26 Himonas, A. Alexandrou 26 Li, Ji 25 Yan, Dunyan 23 Lee, Sanghyuk 22 Lu, Shanzhen 22 Yan, Lixin 20 Martell, José María (Chema) 20 Wright, James Robert 19 Fan, Dashan 19 Stein, Elias Menachem 18 The Anh Bui 18 Xue, Qingying 17 Bez, Neal 17 Grafakos, Loukas 17 Martini, Alessio 17 Tao, Terence 16 Aimar, Hugo A. 16 Ding, Yong 16 Greenblatt, Michael 16 Guo, Shaoming 16 Pan, Yibiao 16 Tolsa, Xavier 15 Chen, Jiecheng 15 Raich, Andrew S. 15 Ruzhansky, Michael V. 15 Sikora, Adam 15 Tzvetkov, Nikolay 15 Wainger, Stephen 14 Azzam, Jonas 14 Chen, Peng 14 Fu, Zunwei 14 Han, Yongsheng 14 Müller, Detlef 14 Seo, Ihyeok 13 Bennett, Jonathan M. 13 Lu, Guozhen 13 Oliveira e Silva, Diogo 13 Sawyer, Eric T. 13 Vega, Luis 13 Zhao, Fayou 13 Zhao, Jiman 12 Banica, Valeria 12 Burq, Nicolas 12 Chen, Yanping 12 Gressman, Philip T. 12 Hytönen, Tuomas P. 12 Martikainen, Henri 12 Petronilho, Gerson 12 Wang, Yuzhao 12 Yu, Haixia 11 Dong, Hongjie 11 Hu, Guoen 11 Hussain, Amjad 11 Killip, Rowan 11 Li, Junfeng 11 Ricci, Fulvio 11 Shi, Shaoguang 11 Sogge, Christopher D. 11 Street, Brian 11 Toro, Tatiana 11 Visan, Monica 11 Volberg, Alexander Lvovich 11 Wei, Mingquan 11 Wu, Huoxiong 11 Wu, Qingyan 11 Yuan, Wen 10 Bortz, Simon 10 Cruz-Uribe, David Vincente 10 Guo, Zihua 10 Han, Yanchang 10 Kovač, Vjekoslav 10 Nyström, Kaj 10 Oberlin, Daniel M. 10 Schippa, Robert 10 Simon, Barry 10 Stovall, Betsy 10 Thiele, Christoph Martin 10 Zhang, Junyong 10 Zheng, Jiqiang 9 Carbery, Anthony 9 Honzík, Petr 9 Kenig, Carlos Eduardo 9 Kiselev, Alexander A. 9 Lacey, Michael T. 9 Lai, Xudong 9 Mirek, Mariusz 9 Mourgoglou, Mihalis 9 Nazarov, Fedor L. 9 Tao, Xiangxing 9 Tartakoff, David S. 9 Ward, Lesley A. 9 Wick, Brett Duane 9 Zampieri, Giuseppe 9 Zhou, Yuan ...and 1,906 more Authors all top 5 Cited in 301 Serials 169 Journal of Functional Analysis 121 The Journal of Geometric Analysis 107 Journal of Mathematical Analysis and Applications 103 Transactions of the American Mathematical Society 100 Proceedings of the American Mathematical Society 81 Advances in Mathematics 76 The Journal of Fourier Analysis and Applications 57 Journal of Differential Equations 52 Duke Mathematical Journal 52 Revista Matemática Iberoamericana 50 Mathematische Annalen 48 Journal d’Analyse Mathématique 46 Mathematische Zeitschrift 42 Communications in Partial Differential Equations 37 Mathematische Nachrichten 35 Communications in Mathematical Physics 33 Nonlinear Analysis. 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