Analyticity of extremizers to the Airy–Strichartz inequality
Analyticity of extremizers to the Airy–Strichartz inequality
复制标题
艾里-斯特里夏茨不等式的极端分析
DOI：
10.1112/blms/bdr098
复制
发表时间：
2010
影响因子：
0.9
通讯作者：
Shuanglin Shao
中科院分区：
文献类型：
--
作者：
D. Hundertmark;Shuanglin Shao
Please try later.
We prove that there exists an extremal function to the Airy–Strichartz inequality ‖e−t∂x3f‖Lt, x8(ℝ×ℝ) ⩽ C‖f‖L2(ℝ), using the linear profile decomposition. Furthermore we show that, if f is an extremizer, then f is extremely fast decaying in Fourier space and so f can be extended to be an entire function on the whole complex domain. The rapid decay of the Fourier transform of extremizers is established with a bootstrap argument which relies on a refined bilinear Airy–Strichartz estimate and a weighted Strichartz inequality.
Strichartz 范数的热流单调性
影响因子：
2.2
作者：
Bennett J
通讯作者：
Bennett J