Several equivalent characterizations of fractional Hajlasz-Morrey-Sobolev spaces

作     者：YUAN Wen LU Yu-feng YANG Da-chun 无

作者机构：School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875 China. 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2016年第31卷第3期

页      面：343-354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：supported by the National Natural Science Foundation of China(11471042,11361020 and 11571039) the Specialized Research Fund for the Doctoral Program of Higher Education of China(20120003110003) the Fundamental Research Funds for Central Universities of China(2014KJJCA10) 

主　　题：Sobolev space Morrey space Morrey-Sobolev space Haj lasz gradient space of homogeneous type maximal operator 

摘      要：In this article, the authors establish several equivalent characterizations of fractional Haj lasz-Morrey-Sobolev spaces on spaces of homogeneous type in the sense of Coifman and Weiss.