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arXiv · 2407.14169

Josephy's theorem, revisited

Daria Bugajewska·Piotr Kasprzak
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Abstract

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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Daria Bugajewska, Piotr Kasprzak. 2024-07-19. Josephy's theorem, revisited. https://doi.org/10.1007/s00025-024-02265-6

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