Josephy's theorem, revisited

Fuente: arXiv
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Autori principali: Bugajewska, Daria, Kasprzak, Piotr
Natura: Preprint
Pubblicazione: 2024
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author Bugajewska, Daria
Kasprzak, Piotr
author_facet Bugajewska, Daria
Kasprzak, Piotr
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_14169
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Josephy's theorem, revisited
Bugajewska, Daria
Kasprzak, Piotr
Classical Analysis and ODEs
26A45, 47B33
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.
title Josephy's theorem, revisited
topic Classical Analysis and ODEs
26A45, 47B33
url https://arxiv.org/abs/2407.14169