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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