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Original Articles

Weighted Composition Operators on Weighted Banach Spaces of Holomorphic Functions on the Unit Polydisk with Closed Range

Pages 1294-1300 | Received 18 Aug 2009, Accepted 23 Aug 2010, Published online: 20 Oct 2010
 

Abstract

We study weighted composition operators on given weighted Banach spaces ( for every z = (z 1,…, z n ) ∈ 𝔻 n ) of analytic functions and give a necessary and a sufficient condition when such operators have the closed range property.

AMS Subject Classification:

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