Composition Operators in Hyperbolic Bloch-Type and Fp,q,s Spaces

Composition operators Cφ from Bloch-type ℬα spaces to Fp,q,s classes, from Fp,q,s to ℬα, and from Fp1,q1,0 to Fp2,q2,s2 are considered. The criteria for these operators to be bounded or compact are given. Our study also includes the corresponding hyperbolic spaces.

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Main Authors: Marko Kotilainen, Fernando Pérez-González
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/156353
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author Marko Kotilainen
Fernando Pérez-González
author_facet Marko Kotilainen
Fernando Pérez-González
author_sort Marko Kotilainen
collection DOAJ
description Composition operators Cφ from Bloch-type ℬα spaces to Fp,q,s classes, from Fp,q,s to ℬα, and from Fp1,q1,0 to Fp2,q2,s2 are considered. The criteria for these operators to be bounded or compact are given. Our study also includes the corresponding hyperbolic spaces.
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spelling doaj-art-f08b097314cf4520bbd5e2dfc6e9bcca2025-02-03T01:23:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/156353156353Composition Operators in Hyperbolic Bloch-Type and Fp,q,s SpacesMarko Kotilainen0Fernando Pérez-González1Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, 80101 Joensuu, FinlandDepartamento de Análisis Matemático, Universidad de La Laguna, La Laguna, 38271 Tenerife, SpainComposition operators Cφ from Bloch-type ℬα spaces to Fp,q,s classes, from Fp,q,s to ℬα, and from Fp1,q1,0 to Fp2,q2,s2 are considered. The criteria for these operators to be bounded or compact are given. Our study also includes the corresponding hyperbolic spaces.http://dx.doi.org/10.1155/2014/156353
spellingShingle Marko Kotilainen
Fernando Pérez-González
Composition Operators in Hyperbolic Bloch-Type and Fp,q,s Spaces
Abstract and Applied Analysis
title Composition Operators in Hyperbolic Bloch-Type and Fp,q,s Spaces
title_full Composition Operators in Hyperbolic Bloch-Type and Fp,q,s Spaces
title_fullStr Composition Operators in Hyperbolic Bloch-Type and Fp,q,s Spaces
title_full_unstemmed Composition Operators in Hyperbolic Bloch-Type and Fp,q,s Spaces
title_short Composition Operators in Hyperbolic Bloch-Type and Fp,q,s Spaces
title_sort composition operators in hyperbolic bloch type and fp q s spaces
url http://dx.doi.org/10.1155/2014/156353
work_keys_str_mv AT markokotilainen compositionoperatorsinhyperbolicblochtypeandfpqsspaces
AT fernandoperezgonzalez compositionoperatorsinhyperbolicblochtypeandfpqsspaces