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.
We study decomposition of finite Abelian groups into subsets and show by examples a negative answer to the question of whether Hajós-property is inherited by direct product of groups which have Hajós-property.
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)
文摘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.
文摘We study decomposition of finite Abelian groups into subsets and show by examples a negative answer to the question of whether Hajós-property is inherited by direct product of groups which have Hajós-property.
