论缓慢变化函数的平稳性

IF 0.7 3区数学 Q2 MATHEMATICS

Proceedings of the Edinburgh Mathematical Society Pub Date : 2024-05-16 DOI:10.1017/s0013091524000348

Dalimil Peša

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引用次数: 0

摘要

在本文中，我们考虑了符合现代定义的缓变函数的平滑性问题，在过去二十年中，该定义在函数空间和插值的应用中得到了普及。我们证明，每一个这种类型的慢变函数都等价于一个具有所有阶连续经典导数的慢变函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the smoothness of slowly varying functions

In this paper, we consider the question of smoothness of slowly varying functions satisfying the modern definition that, in the last two decades, gained prevalence in the applications concerning function spaces and interpolation. We show that every slowly varying function of this type is equivalent to a slowly varying function that has continuous classical derivatives of all orders.

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来源期刊

Proceedings of the Edinburgh Mathematical Society 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Edinburgh Mathematical Society was founded in 1883 and over the years, has evolved into the principal society for the promotion of mathematics research in Scotland. The Society has published its Proceedings since 1884. This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.