Several equivalent characterizations of fractional Hajlasz-Morrey-Sobolev spaces  

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

机构地区：[1]School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2016年第3期343-354,共12页高校应用数学学报（英文版）（B辑）

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)

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

关 键 词：Sobolev space Morrey space Morrey-Sobolev space Haj lasz gradient space of homogeneous type maximal operator 

分 类 号：O177[理学—数学]