International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 17042, 14 pages
doi:10.1155/IJMMS/2006/17042
Uniform limit power-type function spaces
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Received 10 October 2005; Revised 16 June 2006; Accepted 5 July 2006
Copyright © 2006 Chuanyi Zhang and Weiguo Liu. 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.
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.