Uniform limit power-type function spaces

To answer a question proposed by Mari in 1996, we propose 𝒰ℒ𝒫α(ℝ+), the space of uniform limit power functions. We show that 𝒰ℒ𝒫α(ℝ+) has properties similar to that of 𝒜𝒫(ℝ+). We also proposed three other limit power function sp...

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Main Authors: Chuanyi Zhang, Weiguo Liu
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/17042
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author Chuanyi Zhang
Weiguo Liu
author_facet Chuanyi Zhang
Weiguo Liu
author_sort Chuanyi Zhang
collection DOAJ
description To answer a question proposed by Mari in 1996, we propose 𝒰ℒ𝒫α(ℝ+), the space of uniform limit power functions. We show that 𝒰ℒ𝒫α(ℝ+) has properties similar to that of 𝒜𝒫(ℝ+). We also proposed three other limit power function spaces.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2006-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-5fabee1d508d4a6ebfcf9c04ce3253742025-02-03T01:06:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/1704217042Uniform limit power-type function spacesChuanyi Zhang0Weiguo Liu1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaTo answer a question proposed by Mari in 1996, we propose 𝒰ℒ𝒫α(ℝ+), the space of uniform limit power functions. We show that 𝒰ℒ𝒫α(ℝ+) has properties similar to that of 𝒜𝒫(ℝ+). We also proposed three other limit power function spaces.http://dx.doi.org/10.1155/IJMMS/2006/17042
spellingShingle Chuanyi Zhang
Weiguo Liu
Uniform limit power-type function spaces
International Journal of Mathematics and Mathematical Sciences
title Uniform limit power-type function spaces
title_full Uniform limit power-type function spaces
title_fullStr Uniform limit power-type function spaces
title_full_unstemmed Uniform limit power-type function spaces
title_short Uniform limit power-type function spaces
title_sort uniform limit power type function spaces
url http://dx.doi.org/10.1155/IJMMS/2006/17042
work_keys_str_mv AT chuanyizhang uniformlimitpowertypefunctionspaces
AT weiguoliu uniformlimitpowertypefunctionspaces