Boundedness of Commutators of -Type Calderon-Zygmund Operators on Non-homogeneous Metric Measure Spaces

被引：5

作者：

Ri, Chol ^{[1
]}

Zhang, Zhenqiu ^{[2
,3
]}

机构：

[1] Kim Hyong Jik Normal Univ, Dept Math, Pyongyang, North Korea

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, Key Lab Pure Math & Combinator, Tianjin 300071, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2019年 / 40卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Non-homogeneous space; theta-Type Calderon-Zygmund operator; Commutator; RBMO(mu) space; H-at(1; infinity) (mu) space; HARDY-SPACES; H-1; BMO;

D O I：

10.1007/s11401-019-0153-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, d, ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hytonen. In this paper, the authors obtain the boundedness of the commutators of -type Calderon-Zygmund operators with RBMO functions from L () into RBMO() and from Hat1,() into L-1 (), respectively. As a consequence of these results, they establish the L-p () boundedness of the commutators on the non-homogeneous metric spaces.

引用

页码：585 / 598

页数：14

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