15 citations · 28 across the 6 of their papers we have counts for
6 papers
Mixed norm estimates for certain generalized Radon transforms
Michael Christ, M. Burak Erdogan
In this paper we investigate the mapping properties in Lebesgue-type spaces of certain generalized Radon transforms defined by integration over curves.
Finite bounds for Holder-Brascamp-Lieb multilinear inequalities
Jonathan Bennett, Anthony Carbery, Michael Christ +1
A criterion is established for the validity of multilinear inequalities of a class considered by Brascamp and Lieb, generalizing well-known inequalities of Holder, Young, and Loomi…
The Brascamp-Lieb inequalities: finiteness, structure, and extremals
Jonathan Bennett, Anthony Carbery, Michael Christ +1
We consider the Brascamp--Lieb inequalities concerning multilinear integrals of products of functions in several dimensions. We give a complete treatment of the issues of finitenes…
A remark on sums of squares of complex vector fields
Michael Christ
This note is a comment on a recent paper by J. J. Kohn. We give an example of a second order partial differential operator, expressed as a sum of squares of complex vector fields s…
Power series solution of a nonlinear Schroedinger equation
Michael Christ
A slightly modified variant of the cubic periodic one-dimensional nonlinear Schroedinger equation is shown to admit weak solutions for all initial data in certain function spaces w…
Nonuniqueness of weak solutions of the nonlinear Schroedinger equation
Michael Christ
Generalized solutions of the Cauchy problem for the one-dimensional periodic nonlinear Schrödinger equation, with certain nonlinearities, are not unique. For any there exist…