Some Sufficient Conditions for Analytic Functions to Belong to ๐’ฌ๐พ,0(๐‘,๐‘ž) Space

This paper gives some sufficient conditions for an analytic function to belong to the space consisting of all analytic functions ๐‘“ on the unit disk such lim|๐‘Ž|โ†’1โˆซ๐”ป|๐‘“๎…ž(๐‘ง)|๐‘(1โˆ’|๐‘ง|2)๐‘ž๐พ(๐‘”(๐‘ง,๐‘Ž))๐‘‘๐ด(๐‘ง)=0.

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Bibliographic Details
Main Author: Xiaoge Meng
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2008/404636
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author Xiaoge Meng
author_facet Xiaoge Meng
author_sort Xiaoge Meng
collection DOAJ
description This paper gives some sufficient conditions for an analytic function to belong to the space consisting of all analytic functions ๐‘“ on the unit disk such lim|๐‘Ž|โ†’1โˆซ๐”ป|๐‘“๎…ž(๐‘ง)|๐‘(1โˆ’|๐‘ง|2)๐‘ž๐พ(๐‘”(๐‘ง,๐‘Ž))๐‘‘๐ด(๐‘ง)=0.
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publishDate 2008-01-01
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spelling doaj-art-2f6e673459a7467a9129ed652ca694082025-02-03T07:25:54ZengWileyAbstract and Applied Analysis1085-33751687-04092008-01-01200810.1155/2008/404636404636Some Sufficient Conditions for Analytic Functions to Belong to ๐’ฌ๐พ,0(๐‘,๐‘ž) SpaceXiaoge Meng0Department of Mathematics, Jia Ying University, Meizhou 514015, Guangdong, ChinaThis paper gives some sufficient conditions for an analytic function to belong to the space consisting of all analytic functions ๐‘“ on the unit disk such lim|๐‘Ž|โ†’1โˆซ๐”ป|๐‘“๎…ž(๐‘ง)|๐‘(1โˆ’|๐‘ง|2)๐‘ž๐พ(๐‘”(๐‘ง,๐‘Ž))๐‘‘๐ด(๐‘ง)=0.http://dx.doi.org/10.1155/2008/404636
spellingShingle Xiaoge Meng
Some Sufficient Conditions for Analytic Functions to Belong to ๐’ฌ๐พ,0(๐‘,๐‘ž) Space
Abstract and Applied Analysis
title Some Sufficient Conditions for Analytic Functions to Belong to ๐’ฌ๐พ,0(๐‘,๐‘ž) Space
title_full Some Sufficient Conditions for Analytic Functions to Belong to ๐’ฌ๐พ,0(๐‘,๐‘ž) Space
title_fullStr Some Sufficient Conditions for Analytic Functions to Belong to ๐’ฌ๐พ,0(๐‘,๐‘ž) Space
title_full_unstemmed Some Sufficient Conditions for Analytic Functions to Belong to ๐’ฌ๐พ,0(๐‘,๐‘ž) Space
title_short Some Sufficient Conditions for Analytic Functions to Belong to ๐’ฌ๐พ,0(๐‘,๐‘ž) Space
title_sort some sufficient conditions for analytic functions to belong to ๐’ฌ๐พ 0 ๐‘ ๐‘ž space
url http://dx.doi.org/10.1155/2008/404636
work_keys_str_mv AT xiaogemeng somesufficientconditionsforanalyticfunctionstobelongtoqk0pqspace