Abstract and Applied Analysis

Some Properties of Weighted Pseudo almost Periodic Functions

Zhe-Ming Zheng, Hui-Sheng Ding, and Gaston M. N’Guérékata

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Abstract

Several interesting and new properties of weighted pseudo almost periodic functions are established. Firstly, we obtain an equivalent definition for weighted pseudo almost periodic functions, which shows a close relationship between asymptotically almost periodic functions and weighted pseudo almost periodic functions; secondly, we prove that the space of asymptotically almost periodic functions is always a proper subspace of the space of weighted pseudo almost periodic functions; thirdly, we show that under some cases, the space of weighted pseudo almost periodic functions equals the classical space of pseudo almost periodic functions.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 327213, 8 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512196

Digital Object Identifier
doi:10.1155/2013/327213

Mathematical Reviews number (MathSciNet)
MR3139467

Zentralblatt MATH identifier
1291.43005

Citation

Zheng, Zhe-Ming; Ding, Hui-Sheng; N’Guérékata, Gaston M. Some Properties of Weighted Pseudo almost Periodic Functions. Abstr. Appl. Anal. 2013 (2013), Article ID 327213, 8 pages. doi:10.1155/2013/327213. https://projecteuclid.org/euclid.aaa/1393512196


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