The Stepanov theorem for Q-valued functions
Metric Geometry
2025-06-24 v3
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
Cite
@article{arxiv.2402.14554,
title = {The Stepanov theorem for Q-valued functions},
author = {Paolo De Donato},
journal= {arXiv preprint arXiv:2402.14554},
year = {2025}
}
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17 pages