Singular Integral Operator Involving Higher Order Lipschitz Classes

作     者：Bory-Reyes, Juan De la Cruz-Toranzo, Lianet Abreu-Blaya, Ricardo 

作者机构：Inst Politecn Nacl SEPI ESIME ZAC Mexico City 07738 DF Mexico Univ Holgum Fac Informat & Matemat Bratislava 80100 Slovakia 

出 版 物：《MEDITERRANEAN JOURNAL OF MATHEMATICS》 (地中海数学杂志)

年 卷 期：2017年第14卷第2期

页      面：1-13页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Instituto Politecnico Nacional in the framework of SIP programs 

主　　题：Singular integral operator Lipschitz classes polyanalytic functions 

摘      要：In this paper, we investigate a singular integral operator with polyanalytic Cauchy kernel. In particular, we will prove that the higher order Lipschitz classes (of order 1+alpha) behave invariant under the action of that operator.