Operator–valued Fourier Multipliers on Periodic Triebel Spaces

被引：0
|
作者：
Shang Quan Bu
Jin Myong Kim
机构：
[1] University of Tsinghua,Department of Mathematical Science
来源：
Acta Mathematica Sinica | 2005年 / 21卷
关键词：
Operator–valued Fourier multiplier; Vector–valued Triebel space; Vector–valued maximal inequality; Maximal regularity; 42B15; 42B35; 46B20;
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学科分类号：
摘要：
We establish operator–valued Fourier multiplier theorems on periodic Triebel spaces, where the required smoothness of the multipliers depends on the indices of the Triebel spaces. This is used to give a characterization of the maximal regularity in the sense of Triebel spaces for Cauchy problems with periodic boundary conditions.
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页码：1049 / 1056
页数：7
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