MIXED LIPSCHITZ SPACES AND THEIR APPLICATIONS  

作　　者：Shaoyong HE Jiecheng CHEN 何少勇;陈杰诚(Department of Mathematics,Huzhou University,Huzhou 313000,China;Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]Department of Mathematics,Huzhou University,Huzhou 313000,China [2]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China

出　　处：《Acta Mathematica Scientia》2022年第2期690-714,共25页数学物理学报（B辑英文版）

基　　金：Supported by Zhejiang Provincial Natural ScienceFoundation of China(LQ22A010018);National Natural Science Foundation of China(12071437)。

摘　　要：The purpose of this paper is to introduce bi-parameter mixed Lipschitz spaces and characterize them via the Littlewood-Paley theory.As an application,we derive a boundedness criterion for singular integral operators in a mixed Journéclass on mixed Lipschitz spaces.Key elements of the paper are the development of the Littlewood-Paley theory for a special mixed Besov spaces,and a density argument for the mixed Lipschitz spaces in the weak sense.

关 键 词：Mixed Lipschitz spaces Littlewood-Paley theory singular integral operators 

分 类 号：O177[理学—数学]