论文标题

存在傅里叶限制到瞬间曲线的极端化器

Existence of extremizers for Fourier restriction to the moment curve

论文作者

Biswas, Chandan, Stovall, Betsy

论文摘要

我们表明,与矩曲线相关的限制和扩展运算符具有极端变化器,并且这些操作员的$ l^p $一量的极端序列是预发模量对称性。

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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