On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910127044427776 |
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| author | Bobkov, Sergey G. Götze, Friedrich |
| author_facet | Bobkov, Sergey G. Götze, Friedrich |
| contents | We discuss variants of construction of measurable subgradients for multivariate convex functions and the problem of characterization of the $Δ_2$-condition in terms of their directional derivatives. Furthermore we study related basic properties of Luxemburg and Orlicz pseudo-norms for vector-valued functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions Bobkov, Sergey G. Götze, Friedrich Functional Analysis We discuss variants of construction of measurable subgradients for multivariate convex functions and the problem of characterization of the $Δ_2$-condition in terms of their directional derivatives. Furthermore we study related basic properties of Luxemburg and Orlicz pseudo-norms for vector-valued functions. |
| title | On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2512.00184 |