Published Paper

Inserted: 26 feb 2024
Last Updated: 2 nov 2025

Journal: Annales Fennici Mathematici
Volume: 50
Number: 1
Pages: 331-345
Year: 2025
Doi: 10.54330/afm.162970

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.

Keywords: Rademacher's theorem, Lipschitz functions, metric measure spaces, Multiple-valued functions