paper

Josephy's theorem, revisited

arXiv:2407.14169 · doi:10.1007/s00025-024-02265-6

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.

9 pages

Josephy's theorem, revisited · wovepaper