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.

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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
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article

Josephy’s Theorem, Revisited

Daria Bugajewska, Piotr Kasprzak
1 citations
Results in Mathematics
Holomorphic and Operator Theory
0.97
article

Josephy’s Theorem, Revisited

Daria Bugajewska, Piotr Kasprzak
article en
1 citations

Abstract

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.

Results in MathematicsVol. 79(6)
Adam Mickiewicz University in Poznań (PL)
Reduced inequalities
Openalex Percentile: Top 26%
Holomorphic and Operator Theory
0.97
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Josephy’s Theorem, Revisited — Daria Bugajewska, Piotr Kasprzak · Results in Mathematics (2024) | TGRS Research Map | TGRS