Lipschitz sums of convex functions

Marianna Csörnyei, Assaf Naor

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)269-286
Number of pages18
JournalStudia Mathematica
Volume158
Issue number3
DOIs
StatePublished - Jan 1 2003
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Convex functions
  • Lipschitz functions
  • Δ-convex mappings

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