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# Embedding Theorem for Inhomogeneous Besov and Triebel-Lizorkin Spaces on RD-spaces

Published:2015-05-13
Printed: Dec 2015
• Yanchang Han,
School of Mathematic Sciences, South China Normal University, Guangzhou, 510631, P.R. China
 Format: LaTeX MathJax PDF

## Abstract

In this article we prove the embedding theorem for inhomogeneous Besov and Triebel-Lizorkin spaces on RD-spaces. The crucial idea is to use the geometric density condition on the measure.
 Keywords: spaces of homogeneous type, test function space, distributions, Calderón reproducing formula, Besov and Triebel-Lizorkin spaces, embedding
 MSC Classifications: 42B25 - Maximal functions, Littlewood-Paley theory 46F05 - Topological linear spaces of test functions, distributions and ultradistributions [See also 46E10, 46E35] 46E35 - Sobolev spaces and other spaces of smooth'' functions, embedding theorems, trace theorems

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