On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions
Functional Analysis
2026-04-15 v3
Abstract
We discuss variants of construction of measurable subgradients for multivariate convex functions and the problem of characterization of the -condition in terms of their directional derivatives. Furthermore we study related basic properties of Luxemburg and Orlicz pseudo-norms for vector-valued functions.
Cite
@article{arxiv.2512.00184,
title = {On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions},
author = {Sergey G. Bobkov and Friedrich Götze},
journal= {arXiv preprint arXiv:2512.00184},
year = {2026}
}
Comments
Corrections of properties of $\Delta_2$ condition; added references