Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces

被引：9

作者：

Noi, Takahiro ^{[1
]}

机构：

[1] Chuo Univ, Grad Sch Sci & Engn, Dept Math, Bunkyo Ku, Tokyo 1920393, Japan

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年

关键词：

BESSEL POTENTIAL SPACES; MAXIMAL OPERATOR; SMOOTHNESS;

D O I：

10.1155/2012/361807

中图分类号：

学科分类号：

摘要：

We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and Lebesgue spaces when appropriate indices are chosen. In consequence of the results, these variable exponent function spaces are shown to be reflexive.

引用

页数：19

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