约瑟夫定理重温

arXiv - MATH - Classical Analysis and ODEs Pub Date : 2024-07-19 DOI:arxiv-2407.14169

Daria Bugajewska, Piotr Kasprzak

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摘要

本论文的主要目的是描述在有规范值背景下，在有界维纳变的映射空间之间作用的组合算子的必要条件和充分条件。本文还讨论了此类算子局部有界性的必要和充分条件。

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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Josephy's theorem, revisited

The main goal of this note is to characterize the necessary and sufficient conditions for a composition operator to act between spaces of mappings of bounded Wiener variation in a normed-valued setting. The necessary and sufficient conditions for local boundedness of such operators are also discussed.

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arXiv - MATH - Classical Analysis and ODEs

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