Weighted Composition Operators on Some Weighted Spaces in the Unit Ball

Xiaohong Fu; Xiangling Zhu
January 2008
Abstract & Applied Analysis;2008, p1
Academic Journal
Let 픹n be the unit ball of ℂn, H(픹n) the space of all holomorphic functions in 픹n. Let u ϵ H(픹n) and α be a holomorphic self-map of 픹n. For f ϵ H(픹n), the weigthed composition operator uCa is defined by (uCaf) (z) = u(z)f (a(z)), z ϵ 픹n. The boundedness and compactness of the weighted composition operator on some weighted spaces on the unit ball are studied in this paper.


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