On extremizing sequences for adjoint Fourier restriction to the sphere

Taryn C. Flock; Betsy Stovall

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arXiv · 2204.10361

On extremizing sequences for adjoint Fourier restriction to the sphere

Taryn C. Flock·Betsy Stovall

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Abstract

In this article, we develop a linear profile decomposition for the $L^p \to L^q$ adjoint Fourier restriction operator associated to the sphere, valid for exponent pairs $p \max\{p,\tfrac{d+2}d p'\}$, or if $q=\tfrac{d+2}d p'$ and the operator norm exceeds a certain constant times the operator norm of the parabolic extension operator.

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BibTeX RIS

Taryn C. Flock, Betsy Stovall. 2022-04-21. On extremizing sequences for adjoint Fourier restriction to the sphere. https://arxiv.org/abs/2204.10361

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