Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)

The analytic space F(p,q,s) can be embedded into a Bloch-type space. We establish a distance formula from Bloch-type functions to F(p,q,s), which generalizes the distance formula from Bloch functions to BMOA by Peter Jones, and to F(p,p-2,s) by Zhao.

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Main Authors: Cheng Yuan, Cezhong Tong
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/610237
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author Cheng Yuan
Cezhong Tong
author_facet Cheng Yuan
Cezhong Tong
author_sort Cheng Yuan
collection DOAJ
description The analytic space F(p,q,s) can be embedded into a Bloch-type space. We establish a distance formula from Bloch-type functions to F(p,q,s), which generalizes the distance formula from Bloch functions to BMOA by Peter Jones, and to F(p,p-2,s) by Zhao.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-dd444aea12e94aae956b942a700581a32025-02-03T06:14:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/610237610237Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)Cheng Yuan0Cezhong Tong1Institute of Mathematics, School of Science, Tianjin University of Technology and Education, Tianjin 300222, ChinaDepartment of Mathematics, School of Science, Hebei University of Technology, Tianjin 300401, ChinaThe analytic space F(p,q,s) can be embedded into a Bloch-type space. We establish a distance formula from Bloch-type functions to F(p,q,s), which generalizes the distance formula from Bloch functions to BMOA by Peter Jones, and to F(p,p-2,s) by Zhao.http://dx.doi.org/10.1155/2014/610237
spellingShingle Cheng Yuan
Cezhong Tong
Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)
Abstract and Applied Analysis
title Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)
title_full Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)
title_fullStr Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)
title_full_unstemmed Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)
title_short Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)
title_sort distance from bloch type functions to the analytic space f p q s
url http://dx.doi.org/10.1155/2014/610237
work_keys_str_mv AT chengyuan distancefromblochtypefunctionstotheanalyticspacefpqs
AT cezhongtong distancefromblochtypefunctionstotheanalyticspacefpqs