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;

D O I：

暂无

中图分类号：

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.

引用

页码：1049 / 1056

页数：7

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