The Stepanov theorem for Q-valued functions
Authors
Paolo De Donato
Università degli Studi di Padova, Dipartimento di Matematica "T. Levi-Civita"
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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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June 21, 2025
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Articles
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| Keywords | Lipschitz functions, Rademacher's theorem, multiple-valued functions, Stepanov's theorem, metric measure spaces |
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| License |
Copyright (c) 2025 Annales Fennici Mathematici ![]() This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
