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
收藏
页码：1245 / 1263
页数：19
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