International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 17042, 14 pages

Uniform limit power-type function spaces

Chuanyi Zhang and Weiguo Liu

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.


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