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

Canadian mathematical bulletin

Zongguang Liu¹  Fanghui Liao² 

[1] Department of Mathematics, China University of Mining and Technology, Beijing 100083, P. R. China;School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, P. R. China

关键词: Triebel-Lizorkin and Besov spaces;    Riesz potential;    Calderón's reproducing formula;    almost orthogonality estimate;    Zygmund dilation;    embedding theorem;   

DOI  :  10.4153/CMB-2016-030-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper, using Calderón'sreproducing formula and almost orthogonality estimates, weprove the lifting property and the embedding theorem of the Triebel-Lizorkinand Besov spaces associated with Zygmund dilations.

【 授权许可】

Unknown