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arXiv · 1603.07658

Maximizers for the Stein-Tomas inequality

Rupert L. Frank·Elliott H. Lieb·Julien Sabin
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Abstract

We give a necessary and sufficient condition for the precompactness of all optimizing sequences for the Stein-Tomas inequality. In particular, if a well-known conjecture about the optimal constant in the Strichartz inequality is true, we obtain the existence of an optimizer in the Stein-Tomas inequality. Our result is valid in any dimension.

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Rupert L. Frank, Elliott H. Lieb, Julien Sabin. 2016-03-23. Maximizers for the Stein-Tomas inequality. https://arxiv.org/abs/1603.07658

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