Composition operators acting on weighted Hilbert spaces of analytic functions

Composition operators acting on weighted Hilbert spaces of analytic functions

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 op...

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Bibliographic Details
Main Author: Mostafa Hassanlou
Format: Article
Language:English
Published: University of Maragheh 2015-06-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Composition operators
Weighted analytic space
Hilbert-Schmidt
Schatten-class
Online Access:http://scma.maragheh.ac.ir/pdf_12356_e453111f3d3e0c47afab4c470745ab38.html
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spelling doaj-f523e90ae9fa4cc8ab2f4731aa86e3122020-11-25T01:56:41ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002015-06-0121717912356Composition operators acting on weighted Hilbert spaces of analytic functionsMostafa Hassanlou0Shahid Bakeri High Education Center of Miandoab, Urmia University, Urmia, Iran.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.http://scma.maragheh.ac.ir/pdf_12356_e453111f3d3e0c47afab4c470745ab38.htmlComposition operatorsWeighted analytic spaceHilbert-SchmidtSchatten-class
collection DOAJ
language English
format Article
sources DOAJ
author Mostafa Hassanlou
spellingShingle Mostafa Hassanlou
Composition operators acting on weighted Hilbert spaces of analytic functions
Sahand Communications in Mathematical Analysis
Composition operators
Weighted analytic space
Hilbert-Schmidt
Schatten-class
author_facet Mostafa Hassanlou
author_sort Mostafa Hassanlou
title Composition operators acting on weighted Hilbert spaces of analytic functions
title_short Composition operators acting on weighted Hilbert spaces of analytic functions
title_full Composition operators acting on weighted Hilbert spaces of analytic functions
title_fullStr Composition operators acting on weighted Hilbert spaces of analytic functions
title_full_unstemmed Composition operators acting on weighted Hilbert spaces of analytic functions
title_sort composition operators acting on weighted hilbert spaces of analytic functions
publisher University of Maragheh
series Sahand Communications in Mathematical Analysis
issn 2322-5807
2423-3900
publishDate 2015-06-01
description 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.
topic Composition operators
Weighted analytic space
Hilbert-Schmidt
Schatten-class
url http://scma.maragheh.ac.ir/pdf_12356_e453111f3d3e0c47afab4c470745ab38.html
work_keys_str_mv AT mostafahassanlou compositionoperatorsactingonweightedhilbertspacesofanalyticfunctions
_version_ 1724978622043783168

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