QK type spaces of analytic functions

For a nondecreasing function K:[0,8)?[0,8) and 0<p<8, -2<q<8, we introduce QK(p,q), a QK type space of functions analytic in the unit disk and study the characterizations of QK(p,q). Necessary and sufficient conditions on K such that QK(p,q) become some known spaces are given.

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Main Authors: Hasi Wulan, Jizhen Zhou
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2006/910813
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author Hasi Wulan
Jizhen Zhou
author_facet Hasi Wulan
Jizhen Zhou
author_sort Hasi Wulan
collection DOAJ
description For a nondecreasing function K:[0,8)?[0,8) and 0<p<8, -2<q<8, we introduce QK(p,q), a QK type space of functions analytic in the unit disk and study the characterizations of QK(p,q). Necessary and sufficient conditions on K such that QK(p,q) become some known spaces are given.
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series Journal of Function Spaces and Applications
spelling doaj-art-3ad35f11ecd94a7caccc05da9fec6b522025-02-03T05:48:15ZengWileyJournal of Function Spaces and Applications0972-68022006-01-0141738410.1155/2006/910813QK type spaces of analytic functionsHasi Wulan0Jizhen Zhou1Department of Mathematics, Shantou University, Shantou, Guangdong 515063, ChinaDepartment of Mathematics, Shantou University, Shantou, Guangdong 515063, ChinaFor a nondecreasing function K:[0,8)?[0,8) and 0<p<8, -2<q<8, we introduce QK(p,q), a QK type space of functions analytic in the unit disk and study the characterizations of QK(p,q). Necessary and sufficient conditions on K such that QK(p,q) become some known spaces are given.http://dx.doi.org/10.1155/2006/910813
spellingShingle Hasi Wulan
Jizhen Zhou
QK type spaces of analytic functions
Journal of Function Spaces and Applications
title QK type spaces of analytic functions
title_full QK type spaces of analytic functions
title_fullStr QK type spaces of analytic functions
title_full_unstemmed QK type spaces of analytic functions
title_short QK type spaces of analytic functions
title_sort qk type spaces of analytic functions
url http://dx.doi.org/10.1155/2006/910813
work_keys_str_mv AT hasiwulan qktypespacesofanalyticfunctions
AT jizhenzhou qktypespacesofanalyticfunctions