Uniform limit power-type function spaces

Zhang, Chuanyi; Liu, Weiguo

doi:https://doi.org/10.1155/IJMMS/2006/17042

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 017042 | https://doi.org/10.1155/IJMMS/2006/17042

Uniform limit power-type function spaces

Chuanyi Zhang¹and Weiguo Liu¹

Received10 Oct 2005

Revised16 Jun 2006

Accepted05 Jul 2006

Published25 Dec 2006

Abstract

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.

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Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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