中文摘要：

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.

英文摘要：

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.