Some Properties of Weighted Pseudo almost Periodic Functions

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

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/327213

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:327213

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