Abstract and Applied Analysis
Volume 2008 (2008), Article ID 605807, 8 pages
Weighted Composition Operators on Some Weighted Spaces in the Unit Ball
Department of Mathematics, Jiaying University Guangdong, Meizhou 514015, China
Received 18 May 2008; Accepted 28 May 2008
Academic Editor: Stevo Stevic
Copyright © 2008 Xiaohong Fu and Xiangling Zhu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be the unit ball of , the space of all holomorphic functions in . Let and be a holomorphic self-map of . For , the weigthed composition operator is defined by The boundedness and compactness of the weighted composition operator
on some weighted spaces on the unit ball are studied in this paper.