Boundedness and compactness of weighted composition operators between weighted Bergman spaces
نویسندگان
چکیده
منابع مشابه
Boundedness and compactness of weighted composition operators between weighted Bergman spaces
We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
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In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.
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In this paper, we study the weighted composition operators Wφ,ψ :f → ψ(f ◦ φ) between weighted Bergman spaces and Hardy spaces on the unit ball of Cn. We characterize the boundedness and the compactness of the weighted composition operators Wφ,ψ :Ap(να)→Aq(νβ) (0 < q < p <∞, −1 < α,β <∞) and Wφ,ψ :Hp(B)→Hq(B) (0 < q < p <∞). © 2006 Elsevier Inc. All rights reserved.
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The boundedness and compactness of weighted composition operators on the Hardy space H of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schattenclass membership is also considered; as a result, stronger forms of the two main results of a recent paper of Gunatillake are derived. Finally, weighted composition operators on w...
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ژورنال
عنوان ژورنال: Annales UMCS, Mathematica
سال: 2012
ISSN: 0365-1029
DOI: 10.2478/v10062-012-0008-y