FOURIER MULTIPLIER THEOREMS FOR BESOV AND TRIEBEL-LIZORKIN SPACES WITH VARIABLE EXPONENTS

被引：17

作者：

Noi, Takahiro ^{[1
]}

机构：

[1] Chuo Univ, Grad Sch Sci & Engn, Dept Math, Bunkyo Ku, Tokyo, Japan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2014年 / 17卷 / 01期

关键词：

Fourier multiplier theorem; variable exponents Besov spaces; variable exponents Triebel-Lizorkin spaces; BESSEL POTENTIAL SPACES; MAXIMAL-FUNCTION; SMOOTHNESS; OPERATORS;

D O I：

10.7153/mia-17-03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we will prove Fourier multiplier theorems on Besov and Triebel-Lizorkin spaces with variable exponents. It was shown by many authors that variable Triebel-Lizorkin spaces coincide with variable Bessel potential spaces, variable Sobolev spaces and variable Lebesgue spaces when appropriate indices are chosen. In consequence of the results, we also have Fourier multiplier theorems on these variable function spaces.

引用

页码：49 / 74

页数：26

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