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Weighted Composition Operators on Hardy Spaces

open access: yesJournal of Mathematical Analysis and Applications, 2001
This paper studies operators of the form \(f\mapsto (f\circ\varphi)\psi\) acting on Hardy spaces \(H^p\) of the unit disk \(D\), where \(\psi\) is analytic in \(D\) and \(\varphi\) is an analytic self-map of \(D\). Problems studied include the boundedness, compactness, weak compactness, and complete continuity of such operators.
Manuel D Contreras
exaly   +2 more sources
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