加权伪几乎自守函数空间的完备性
On completeness of the space of weighted pseudo almost automorphic functions
摘要：
本文证明了对每个$ρ\in \mathbb{U}_{\infty}$，加权伪几乎自守函数空间在上确界范数下是完备的。这对加权伪几乎自守函数的一个关键的基本问题给出了肯定的回答，填补了[J. Funct. Anal. 258，No. 1，196-207（2010）]。
英文摘要：
In this paper, we prove that for every $ρ\in \mathbb{U}_{\infty}$, the space of weighted pseudo almost automorphic functions is complete under the supremum norm. This gives an affirmative answer to a key and fundamental problem for weighted pseudo almost automorphic functions, and fills a gap in the proof of [J. Funct. Anal. 258, No. 1, 196-207 (2010)].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
