Boundedness for a Class of Operators on Weighted Morrey Space with RD-measure

作     者：CUI Xiaona LU Yongjin LI Mengmeng CUI Xiaona;LU Yongjin;LI Mengmeng

作者机构：Department of Mathematics and Information ScienceHenan Normal UniversityXinxiang 453007China Department of Mathematics and StatisticsOakland UniversityRochesterMI48309USA College of International EducationHenan Normal UniversityXinxiang 453007China. 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2022年第35卷第4期

页      面：395-408页

核心收录：

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

主　　题：Weighted Morrey space RD-measure commutator 

摘      要：this paper,we study a class of sublinear operators and their commutators with a weighted BMO *** first give the definition of a weighted Morrey space Lpo(X)where X is an RD-measure and w is the weight *** weighted Morrey spaces arise from studying the local behavior of solutions to certain partial differential *** will show that the aforementioned class of operators and their communtators with a weighted BMO function are bounded in the weighted Morrey space LPpto(X)provided that the weight function w belongs to the Ap(μ)-class and satisfiesthereverseHolder scondition.