QK type spaces of analytic functions

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.

Bibliographic Details
Main Authors: Hasi Wulan, Jizhen Zhou
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2006/910813
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spelling doaj-3ad35f11ecd94a7caccc05da9fec6b522020-11-24T23:17:11ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Hasi Wulan
Jizhen Zhou
spellingShingle Hasi Wulan
Jizhen Zhou
QK type spaces of analytic functions
Journal of Function Spaces and Applications
author_facet Hasi Wulan
Jizhen Zhou
author_sort Hasi Wulan
title QK type spaces of analytic functions
title_short 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_sort qk type spaces of analytic functions
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
publishDate 2006-01-01
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.
url http://dx.doi.org/10.1155/2006/910813
work_keys_str_mv AT hasiwulan qktypespacesofanalyticfunctions
AT jizhenzhou qktypespacesofanalyticfunctions
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