New Characterizations of the Weighted Composition Operators Between Bloch Type Spaces in the Polydisk

Canadian mathematical bulletin

Zhong-Shan Fang¹  Ze-Hua Zhou² 

[1] Department of Mathematics, Tianjin Polytechnic University, Tianjin Tianjin 300387, P.R. China.;Department of Mathematics, Tianjin University, Tianjin 300072, P.R. China.

关键词: weighted composition operator;    compactness;    Bloch type spaces;    polydisk;    several complex variables;   

DOI  :  10.4153/CMB-2013-043-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We give some new characterizations for compactness of weightedcomposition operators $uC_varphi$ acting on Bloch-type spaces interms of the power of the components of $varphi,$ where $varphi$is a holomorphic self-map of the polydisk $mathbb{D}^n,$ thusgeneralizing the results obtained by Hyvärinen andLindström in 2012.

【 授权许可】

Unknown