Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators

被引：2

作者：

Xu, Jingshi ^{[1
]}

机构：

[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2020年 / 15卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Besov space; variable exponent; maximal function; non-negative self-adjoint operators; atomic decomposition; ORLICZ-HARDY SPACES; MAXIMAL-FUNCTION CHARACTERIZATIONS; STRONGLY LIPSCHITZ-DOMAINS; TRIEBEL-LIZORKIN SPACES; 2-MICROLOCAL BESOV; RIESZ TRANSFORMS; LEBESGUE SPACES; BOUNDEDNESS; DECOMPOSITION;

D O I：

10.1007/s11464-020-0886-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the variable integral and the smooth exponent Besov spaces associated to non-negative self-adjoint operators. Then we give the equivalent norms via the Peetre type maximal functions and atomic decomposition of these spaces.

引用

页码：1245 / 1263

页数：19

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