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Annales Fennici Mathematici
Annales Fennici Mathematici

The Stepanov theorem for Q-valued functions

Authors

Paolo De Donato
Università degli Studi di Padova, Dipartimento di Matematica "T. Levi-Civita"

DOI

https://doi.org/10.54330/afm.162970

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Abstract

In this work we prove the Stepanov differentiation theorem for multiple-valued functions. This theorem is proved in the wide generality of metric-space-multiple-valued functions without relying on a Lipschitz extension result. General definitions of differentiability and approximate differentiability for functions between suitable metric spaces are also introduced.

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Details

DOI
Published
June 21, 2025
Issue
Section
Articles
Keywords Lipschitz functions, Rademacher's theorem, multiple-valued functions, Stepanov's theorem, metric measure spaces
How to Cite
De Donato, P. (2025). The Stepanov theorem for Q-valued functions. Annales Fennici Mathematici, 50(1), 331–345. https://doi.org/10.54330/afm.162970
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