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arXiv · 2512.00184

On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions

Sergey G. Bobkov·Friedrich Götze
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Abstract

We discuss variants of construction of measurable subgradients for multivariate convex functions and the problem of characterization of the $\Delta_2$-condition in terms of their directional derivatives. Furthermore we study related basic properties of Luxemburg and Orlicz pseudo-norms for vector-valued functions.

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Sergey G. Bobkov, Friedrich Götze. 2025-11-28. On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions. https://arxiv.org/abs/2512.00184

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