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Turkish Journal of Mathematics

Abstract

We characterize the essentially normal weighted composition operators C_{\psi,\varphi} on the Hardy space H^2, whenever \varphi is a linear-fractional transformation and \psi \in A(D). Also we investigate the essential normality problem for some other weighted composition operators on H^2.

DOI

10.3906/mat-1010-413

Keywords

Hardy spaces, essentially normal, weighted composition operator, linear-fractional transformation

First Page

583

Last Page

595

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