Existence of extremizers for Fourier restriction to the moment curve

Biswas, Chandan; Stovall, Betsy

doi:10.1090/tran/8872

Existence of extremizers for Fourier restriction to the moment curve
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Trans. Amer. Math. Soc. 376 (2023), 3473-3492 Request permission

Abstract:

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

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