Composition operators from the Bloch space into the spaces QT

Suppose that φ(z) is an analytic self-map of the unit disk Δ. We consider the boundedness of the composition operator Cφ from Bloch space ℬ into the spaces QT (QT,0) defined by a nonnegative, nondecreasing function T(r) on 0≤r<∞.

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Main Authors: Pengcheng Wu, Hasi Wulan
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171203207122
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author Pengcheng Wu
Hasi Wulan
author_facet Pengcheng Wu
Hasi Wulan
author_sort Pengcheng Wu
collection DOAJ
description Suppose that φ(z) is an analytic self-map of the unit disk Δ. We consider the boundedness of the composition operator Cφ from Bloch space ℬ into the spaces QT (QT,0) defined by a nonnegative, nondecreasing function T(r) on 0≤r<∞.
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institution Kabale University
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1687-0425
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publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2c9e7f81221f4ccc8fa9e32f2cd1aa5c2025-02-03T01:02:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003311973197910.1155/S0161171203207122Composition operators from the Bloch space into the spaces QTPengcheng Wu0Hasi Wulan1Department of Mathematics, Guizhou Normal University, Guiyang 550001, ChinaDepartment of Mathematics, Shantou University, Shantou, Guangdong 515063, ChinaSuppose that φ(z) is an analytic self-map of the unit disk Δ. We consider the boundedness of the composition operator Cφ from Bloch space ℬ into the spaces QT (QT,0) defined by a nonnegative, nondecreasing function T(r) on 0≤r<∞.http://dx.doi.org/10.1155/S0161171203207122
spellingShingle Pengcheng Wu
Hasi Wulan
Composition operators from the Bloch space into the spaces QT
International Journal of Mathematics and Mathematical Sciences
title Composition operators from the Bloch space into the spaces QT
title_full Composition operators from the Bloch space into the spaces QT
title_fullStr Composition operators from the Bloch space into the spaces QT
title_full_unstemmed Composition operators from the Bloch space into the spaces QT
title_short Composition operators from the Bloch space into the spaces QT
title_sort composition operators from the bloch space into the spaces qt
url http://dx.doi.org/10.1155/S0161171203207122
work_keys_str_mv AT pengchengwu compositionoperatorsfromtheblochspaceintothespacesqt
AT hasiwulan compositionoperatorsfromtheblochspaceintothespacesqt