Weighted Composition Operators on Some Weighted Spaces in the Unit Ball
Xiaohong Fu and
Xiangling Zhu
Abstract and Applied Analysis, 2008, vol. 2008, issue 1
Abstract:
Let 𝔹n be the unit ball of ℂn, H(𝔹n) the space of all holomorphic functions in 𝔹n. Let u𝞊H(𝔹n) and α be a holomorphic self‐map of 𝔹n. For f𝞊H(𝔹n), the weigthed composition operator uCα is defined by (uCαf)(z) = u(z)f(α(z)), z𝞊𝔹n. The boundedness and compactness of the weighted composition operator on some weighted spaces on the unit ball are studied in this paper.
Date: 2008
References: Add references at CitEc
Citations:
Downloads: (external link)
https://doi.org/10.1155/2008/605807
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:605807
Access Statistics for this article
More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().