The Boundedness of Calderon-Zygmund Operators on Lipschitz Spaces Over Spaces of Homogeneous Type

被引：3

作者：

Zheng, Taotao ^{[1
]}

Li, Hongliang ^{[2
]}

Tao, Xiangxing ^{[1
]}

机构：

[1] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Peoples R China

[2] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310023, Peoples R China

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2020年 / 51卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Lipschitz spaces; Littlewood-Paley theory; Calderon-Zygmund operators; Homogeneous type; HARDY-SPACES;

D O I：

10.1007/s00574-019-00169-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X,rho,mu) be Ahlfors-1 regular metric spaces. By developing the Littlewood-Paley characterization of Lipschitz spaces over (X,rho,mu) and establishing a density argument in the weak sense, the authors give a necessary and sufficient condition for the boundedness of Calderon-Zygmund operators on the Lipschitz spaces.

引用

页码：653 / 669

页数：17

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