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Some Properties of Triebel-Lizorkin and Besov Spaces Associated with Zygmund Dilations

  Published:2016-07-16
 Printed: Dec 2016
  • Fanghui Liao,
    School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, P. R. China
  • Zongguang Liu,
    Department of Mathematics, China University of Mining and Technology, Beijing 100083, P. R. China
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Abstract

In this paper, using Calderón's reproducing formula and almost orthogonality estimates, we prove the lifting property and the embedding theorem of the Triebel-Lizorkin and Besov spaces associated with Zygmund dilations.
Keywords: Triebel-Lizorkin and Besov spaces, Riesz potential, Calderón's reproducing formula, almost orthogonality estimate, Zygmund dilation, embedding theorem Triebel-Lizorkin and Besov spaces, Riesz potential, Calderón's reproducing formula, almost orthogonality estimate, Zygmund dilation, embedding theorem
MSC Classifications: 42B20, 42B35 show english descriptions Singular and oscillatory integrals (Calderon-Zygmund, etc.)
Function spaces arising in harmonic analysis
42B20 - Singular and oscillatory integrals (Calderon-Zygmund, etc.)
42B35 - Function spaces arising in harmonic analysis
 

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