Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates
نویسندگان
چکیده
منابع مشابه
Restriction Theorems for Orthonormal Functions, Strichartz Inequalities, and Uniform Sobolev Estimates Rupert L. Frank and Julien Sabin
We generalize the theorems of Stein–Tomas and Strichartz about surface restrictions of Fourier transforms to systems of orthonormal functions with an optimal dependence on the number of functions. We deduce the corresponding Strichartz bounds for solutions to Schrödinger equations up to the endpoint, thereby solving an open problem of Frank, Lewin, Lieb and Seiringer. We also prove uniform Sobo...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2017
ISSN: 1080-6377
DOI: 10.1353/ajm.2017.0041