Josephy's theorem, revisited
Classical Analysis and ODEs
2025-05-13 v1
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.
Keywords
Cite
@article{arxiv.2407.14169,
title = {Josephy's theorem, revisited},
author = {Daria Bugajewska and Piotr Kasprzak},
journal= {arXiv preprint arXiv:2407.14169},
year = {2025}
}
Comments
9 pages