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.
Citation
Zhe-Ming Zheng. Hui-Sheng Ding. Gaston M. N’Guérékata. "Some Properties of Weighted Pseudo almost Periodic Functions." Abstr. Appl. Anal. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/327213
Information