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arXiv 1807.09734math.CA
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连续无界可积函数的代数结构

Algebraic structure of continuous, unbounded and integrable functions

M. Carmen Calderón-Moreno, Pablo J. Gerlach-Mena, José A. Prado-Bassas

摘要:

在本文中,我们研究了大的线性和代数规模的家庭无界连续和可积的功能,在$[0,+\infty)$和家庭的序列,这些功能收敛到零,一致的$L^1$规范。此外,我们集中在这些功能的增长速度,他们的平滑度和他们的收敛到零的强度。

英文摘要:

In this paper we study the large linear and algebraic size of the family of unbounded continuous and integrable functions in $[0,+\infty)$ and of the family of sequences of these functions converging to zero uniformly on compacta and in $L^1$-norm. In addition, we concentrate on the speed at which these functions grow, their smoothness and the strength of their convergence to zero.

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。

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