Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Essential norms of weighted composition operators from the bergman space to weighted-type spaces on the unit ball
Journal: Ars Combinatoria
Volume: 91
First page: 391
Last page: 400
Issue Date: 1-Apr-2009
Rank: M23
ISSN: 0381-7032
Abstract: 
We estimate the essential norm of the weighted composition operator uCv from the weighted Bergman space A£(B) to the weighted space ff£(B) on the unit ball B, when p > 1 and oj > -1 (for a = -1, AE is the Hardy space Hp{&)). We also give a necessary and sufficient condition for the operator uCv : Ae(B) -> H™(M) to be compact, and for the operator uCv : Ag(B) -»H™0(B) to be bounded or compact, when p > 0, a > -1.
Publisher: Charles Babbage Research Centre

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