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papers

Publications (50)

math.CV2013

Off-diagonal decay of Bergman kernels: On a conjecture of Zelditch

Michael Christ

math.CA2011

On random multilinear operator inequalities

Michael Christ

math.CA2010

Existence of Extremals for a Fourier Restriction Inequality

Michael Christ, Shuanglin Shao

math.CA2015

On Holder-Brascamp-Lieb inequalities for torsion-free discrete Abelian groups

Michael Christ, James Demmel, Nicholas Knight +2

math.AP2004

Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

Michael Christ, James Colliander, Terence Tao

math.AP2006

A priori bounds and weak solutions for the nonlinear Schrödinger equation in Sobolev spaces of negative order

Michael Christ, James Colliander, Terence Tao

math.CA2013

The optimal constants in Holder-Brascamp-Lieb inequalities for discrete Abelian groups

Michael Christ

math.CA2005

Necessary conditions for vector-valued operator inequalities in harmonic analysis

Michael Christ, Andreas Seeger

math.CA2005

Finite bounds for Holder-Brascamp-Lieb multilinear inequalities

Jonathan Bennett, Anthony Carbery, Michael Christ +1

math.CA2011

Near-extremizers of Young's Inequality for R^d

Michael Christ

math.MG2005

The Brascamp-Lieb inequalities: finiteness, structure, and extremals

Jonathan Bennett, Anthony Carbery, Michael Christ +1

math.CA2015

On nearly radial product functions

Michael Christ

math.CA2011

A weak type (1,1) inequality for maximal averages over certain sparse sequences

Michael Christ

math.CA2013

Communication lower bounds and optimal algorithms for programs that reference arrays -- Part 1

Michael Christ, James Demmel, Nicholas Knight +2

math.AP2003

Instability of the periodic nonlinear Schrodinger equation

Michael Christ, James Colliander, Terence Tao

math.CA2010

On the extremizers of an adjoint Fourier restriction inequality

Michael Christ, Shuanglin Shao

math.AP2005

Power series solution of a nonlinear Schroedinger equation

Michael Christ

math.CA2011

Bounds For Multilinear Sublevel Sets Via Szemeredi's Theorem

Michael Christ

math.CV1995

On Analytic Solvability and Hypoellipticity For $\dbar$ and $\dbar_b

Michael Christ, Song-Ying Li

math.CV1995

Global $C^\nf$ Irregularity of the $\bar\partial$--Neumann Problem for Worm Domains

Michael Christ

math.FA2014

Sharp Hardy-Littlewood-Sobolev Inequalities on Octonionic Heisenberg Group

Michael Christ, Heping Liu, An Zhang

math.CA2011

Quasiextremals for a Radon-like transform

Michael Christ

math.CA2010

Smoothness of Extremizers of a Convolution Inequality

Michael Christ, Qingying Xue

math.CA2014

A sharpened Hausdorff-Young inequality

Michael Christ

math.AP2005

Nonuniqueness of weak solutions of the nonlinear Schroedinger equation

Michael Christ

math.CA2012

Near equality in the two-dimensional Brunn-Minkowski inequality

Michael Christ

math.CA2004

Maximal functions associated with Fourier multipliers of Mikhlin-H"ormander type

Michael Christ, Loukas Grafakos, Petr Honzik +1

math.AP1995

Infinite dimensional families of locally nonsolvable partial differential operators

Michael Christ, Georgi Karadzhov, Detlef Müller

math.CA2013

Cases of equality in certain multilinear inequalities of Hardy-Riesz-Brascamp-Lieb-Luttinger type

Michael Christ, Taryn C. Flock

math.AP2012

Low regularity bounds for mKdV

Michael Christ, Justin Holmer, Daniel Tataru

math.CA2012

Near Equality in the Brunn-Minkowski Inequality

Michael Christ

math.CA2005

Mixed norm estimates for certain generalized Radon transforms

Michael Christ, M. Burak Erdogan

math.CA2011

Near-extremizers of Young's inequality for discrete groups

Marcos Charalambides, Michael Christ

math.CA2015

On an apparently bilinear inequality for the Fourier transform

Michael Christ

math.CA2011

An Approximate Inverse Riesz-Sobolev Inequality

Michael Christ

math.CA2011

Extremizers of a Radon transform inequality

Michael Christ

math.CA2015

Subsets of Euclidean space with nearly maximal Gowers norms

Michael Christ

math.FA1996

Intermediate Optimal Gevrey Exponents Occur

Michael Christ

math.CV2013

Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics

Michael Christ

math.CA2003

On multilinear oscillatory integrals, nonsingular and singular

Michael Christ, Xiaochun Li, Terence Tao +1

math.CA2011

Multilinear Oscillatory Integrals Via Reduction of Dimension

Michael Christ

math.CA2011

On extremals for a Radon-like transform

Michael Christ

math.CA2010

Gaussians Rarely Extremize Adjoint Fourier Restriction Inequalities For Paraboloids

Michael Christ, René Quilodrán

math.CV2005

A remark on sums of squares of complex vector fields

Michael Christ

math.CA2013

Near equality in the Riesz-Sobolev inequality

Michael Christ

math.CA2011

On Trilinear Oscillatory Integrals

Michael Christ, Diogo Oliveira e Silva

math.CV2003

Compactness in the d-bar Neumann problem, magnetic Schrodinger operators, and the Aharonov-Bohm effect

Michael Christ, Siqi Fu

math.CA2015

Near equality in the Riesz-Sobolev inequality in higher dimensions

Michael Christ

math.CA2014

Sharp Hardy-Littlewood-Sobolev Inequalities on Quaternionic Heisenberg Groups

Michael Christ, Heping Liu, An Zhang

math.AP2003

Ill-posedness for nonlinear Schrodinger and wave equations

Michael Christ, James Colliander, Terence Tao