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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
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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 spaces of homogeneous type, test function space, distributions, Calderón reproducing formula, Besov and Triebel-Lizorkin spaces, embedding
MSC Classifications: 42B25, 46F05, 46E35 show english descriptions Maximal functions, Littlewood-Paley theory
Topological linear spaces of test functions, distributions and ultradistributions [See also 46E10, 46E35]
Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
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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