Linear operators and their commutators generated by Calderon-Zygmund operators on generalized Morrey spaces associated with ball Banach function spaces

被引：5

作者：

Wei, Mingquan ^{[1
]}

机构：

[1] Xinyang Normal Univ, Sch Math & Stast, Xinyang 464000, Peoples R China

来源：

POSITIVITY | 2022年 / 26卷 / 05期

关键词：

Generalized Money space; Ball Banach function space; Linear operator; Commutator; BMO(R-n); SINGULAR INTEGRAL-OPERATORS; JOHN-NIRENBERG INEQUALITIES; MAXIMAL OPERATOR; BOUNDEDNESS; LEBESGUE; KERNELS;

D O I：

10.1007/s11117-022-00949-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a definition of a class of linear operators T generated by Calderon-Zygmund operators on generalized Morrey spaces M-x(phi)(R-n) associated with a ball Banach function space X and study the boundedness of T on M-x(phi)(R-n). Moreover, the well definedness and the boundeness of a class of linear commutator operators T-b generated by Calderon-Zygmund operators on M-x(phi)(R-n) are also considered. In addition, we apply our main theorems to some concrete function spaces such as generalized mixed Morrey spaces, generalized Money spaces with variable exponent and generalized Orlicz-Morrey spaces.

引用

页数：25

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