Josephy’s Theorem, Revisited
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.
Authors
- Daria Bugajewska (ORCID: https://orcid.org/0000-0002-7252-0721)
- Piotr Kasprzak (ORCID: https://orcid.org/0000-0003-2654-9934)
Institutions
- Adam Mickiewicz University in Poznań (PL)
Publication Details
- Journal
- Results in Mathematics
- Published
- 2024-08-30
- DOI
- https://doi.org/10.1007/s00025-024-02265-6
- Citations
- 1
- Primary Topic
- Holomorphic and Operator Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.97