Operator-valued Fourier multipliers on periodic triebel spaces

被引：32
作者：
Bu, SQ [1 ]
Kim, JM [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 05期
基金：
中国国家自然科学基金;
关键词：
operator-valued Fourier multiplier; vector-valued Triebel space; vector-valued maximal inequality; maximal regularity;
D O I：
10.1007/s10114-004-0453-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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
收藏
页码：1049 / 1056
页数：8
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