Boundedness of Composition of Operators Associated with Different Homogeneities on Weighted Besov and Triebel-Lizorkin Spaces

Proceedings Mathematical Sciences

Xinfeng Wu¹ 

[1] Department of Mathematics, China University of Mining and Technology, Beijing 000, China$$

关键词: Composition of operators;    different homogeneities;    weighted Besov spaces;    weighted Triebel–Lizorkin spaces.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we introduce weighted Besov spaces and weighted Triebel–Lizorkin spaces associated with different homogeneities and prove that the composition of two Calderón–Zygmund operators is bounded on these spaces. This extends a recent result in Han et al, Revista Mat. Iber.

【 授权许可】

Unknown