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Composition operators acting on weighted Hilbert spaces of analytic functions

Journal: Sahand Communications in Mathematical Analysis (Vol.2, No. 1)

Publication Date:

Authors : ;

Page : 71-79

Keywords : Composition operators; Weighted analytic space; Hilbert-Schmidt; Schatten-class;

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Abstract

In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.

Last modified: 2015-08-17 13:35:02