Embedding theorem on RD-spaces

作者：Han Yanchang^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, 2015(1): 99.

DOI：10.1186/s13660-015-0620-9

• spaces of homogeneous type
• test function space
• distributions
• Calderon reproducing formula
• Besov and Triebel-Lizorkin spaces
• embedding

An RD-space (X, d, mu) is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds. An important class of RD-spaces is provided by Carnot-Caratheodory spaces with a doubling measure. In this article, the author establishes the embedding theorem for Besov and Triebel-Lizorkin spaces on RD-spaces.

• 出版日期2015-3-17
• 单位华南师范大学