Variants of measurable subgradient constructions for multivariate convex functions are discussed, along with a characterization of the Δ₂-condition via directional derivatives and properties of Orlicz pseudo-norms for vector-valued functions.
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On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions
Variants of measurable subgradient constructions for multivariate convex functions are discussed, along with a characterization of the Δ₂-condition via directional derivatives and properties of Orlicz pseudo-norms for vector-valued functions.