Lipschitz sums of convex functions

Marianna Csörnyei; Assaf Naor

doi:10.4064/sm158-3-6

Lipschitz sums of convex functions

Marianna Csörnyei, Assaf Naor

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give a geometric characterization of the convex subsets of a Banach space with the property that for any two convex continuous functions on this set, if their sum is Lipschitz, then the functions must be Lipschitz. We apply this result to the theory of Δ-convex functions.

Original language	English (US)
Pages (from-to)	269-286
Number of pages	18
Journal	Studia Mathematica
Volume	158
Issue number	3
DOIs	https://doi.org/10.4064/sm158-3-6
State	Published - 2003

Keywords

Convex functions
Lipschitz functions
Δ-convex mappings

ASJC Scopus subject areas

General Mathematics

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10.4064/sm158-3-6

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AU - Csörnyei, Marianna

AU - Naor, Assaf

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KW - Lipschitz functions

KW - Δ-convex mappings

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Lipschitz sums of convex functions

Abstract

Keywords

ASJC Scopus subject areas

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