Multilinear Commutators of Singular Integral Operators in Variable Exponent Herz-Type Spaces

被引：9

作者：

Wang, Liwei ^{[1
]}

Shu, Lisheng ^{[2
]}

机构：

[1] Anhui Polytech Univ, Sch Math & Phys, Wuhu 241000, Peoples R China

[2] Anhui Normal Univ, Sch Math & Comp Sci, Wuhu 241003, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 04期

关键词：

Herz-type spaces; Variable exponents; Multilinear commutators; Sublinear operators; HARDY-SPACES;

D O I：

10.1007/s40840-017-0554-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the boundedness of multilinear commutators of Hardy-Littlewood maximal operators in variable exponent Herz and Herz-Morrey spaces, which in turn are used to obtain the boundedness for a large class of the multilinear commutators related to sublinear operators. Moreover, based on the atomic decomposition and on generalization of the BMO norm, we study the boundedness of multilinear commutators of singular integral operators with Calderon-Zygmund kernels in variable exponent Herz-type Hardy spaces.

引用

页码：1413 / 1432

页数：20