Existence of extremizers for Fourier restriction to the moment curve-Reference-Cited by-同舟云学术

Existence of extremizers for Fourier restriction to the moment curve

Published:2023-02-16 Issue:5 Volume:376 Page:3473-3492
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Biswas Chandan,Stovall Betsy

Abstract

We show that the restriction and extension operators associated to the moment curve possess extremizers and that L p L^p -normalized extremizing sequences of these operators are precompact modulo symmetries.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2023-376-05/S0002-9947-2023-08872-9/tran8872_AM.pdf

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