Sharpness of some properties of weighted modulation spaces

被引：9
|
作者：
Guo WeiChao [1 ]
Fan DaShan [2 ]
Wu HuoXiong [1 ]
Zhao GuoPing [3 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Univ Wisconsin, Dept Math, Milwaukee, WI 53201 USA
[3] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2016年 / 59卷 / 01期
基金：
中国国家自然科学基金;
关键词：
sharpness; product inequalities; convolution inequalities; embedding; weighted; modulation spaces; UNIMODULAR FOURIER MULTIPLIERS; OPERATORS; EQUATIONS;
D O I：
10.1007/s11425-015-5067-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain some optimal properties on weighted modulation spaces. We find the necessary and sufficient conditions for product inequalities, convolution inequalities and embedding on weighted modulation spaces. Especially, we establish the analogue of the sharp Sobolev embedding theorem on weighted modulation spaces.
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页码：169 / 190
页数：22
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