Integral-Type Operators from Bloch-Type Spaces to QK Spaces

The boundedness and compactness of the integral-type operator Iφ,g(n)f(z)=∫0zf(n)(φ(ζ))g(ζ)dζ, where n∈N0, φ is a holomorphic self-map of the unit disk D, and g is a holomorphic function on D, from α-Bloch spaces to QK spaces are characterized.

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Main Authors: Stevo Stević, Ajay K. Sharma
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/698038
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author Stevo Stević
Ajay K. Sharma
author_facet Stevo Stević
Ajay K. Sharma
author_sort Stevo Stević
collection DOAJ
description The boundedness and compactness of the integral-type operator Iφ,g(n)f(z)=∫0zf(n)(φ(ζ))g(ζ)dζ, where n∈N0, φ is a holomorphic self-map of the unit disk D, and g is a holomorphic function on D, from α-Bloch spaces to QK spaces are characterized.
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spelling doaj-art-e531bae96b12444c9f8094eddb6329e02025-02-03T01:03:38ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/698038698038Integral-Type Operators from Bloch-Type Spaces to QK SpacesStevo Stević0Ajay K. Sharma1Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, SerbiaSchool of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra 182320, IndiaThe boundedness and compactness of the integral-type operator Iφ,g(n)f(z)=∫0zf(n)(φ(ζ))g(ζ)dζ, where n∈N0, φ is a holomorphic self-map of the unit disk D, and g is a holomorphic function on D, from α-Bloch spaces to QK spaces are characterized.http://dx.doi.org/10.1155/2011/698038
spellingShingle Stevo Stević
Ajay K. Sharma
Integral-Type Operators from Bloch-Type Spaces to QK Spaces
Abstract and Applied Analysis
title Integral-Type Operators from Bloch-Type Spaces to QK Spaces
title_full Integral-Type Operators from Bloch-Type Spaces to QK Spaces
title_fullStr Integral-Type Operators from Bloch-Type Spaces to QK Spaces
title_full_unstemmed Integral-Type Operators from Bloch-Type Spaces to QK Spaces
title_short Integral-Type Operators from Bloch-Type Spaces to QK Spaces
title_sort integral type operators from bloch type spaces to qk spaces
url http://dx.doi.org/10.1155/2011/698038
work_keys_str_mv AT stevostevic integraltypeoperatorsfromblochtypespacestoqkspaces
AT ajayksharma integraltypeoperatorsfromblochtypespacestoqkspaces