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

Published online by Cambridge University Press:  20 November 2018

Fanghui Liao  and
Zongguang Liu
Fanghui Liao
Affiliation:
School of Mathematics & Computational Science, Xiangtan University, Xiangtan 411105, P. R. China e-mail: liaofanghui1028@163.com
Zongguang Liu
Affiliation:
Department of Mathematics, China University of Mining & Technology, Beijing 100083, P. R. China e-mail: liuzg@cumtb.edu.cn
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Abstract

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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

42B2042B35Triebel–Lizorkin and Besov spacesRiesz potentialCalderón’s reproducing formulaalmost orthogonality estimateZygmund dilationembedding theorem
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 4 , 01 December 2016 , pp. 834 - 848
Copyright
Copyright © Canadian Mathematical Society 2016

References

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