Lipschitz sums of convex functions

Marianna Csörnyei, and Assaf Naor. "Lipschitz sums of convex functions." Studia Mathematica 158.3 (2003): 269-286. <http://eudml.org/doc/284850>.

@article{MariannaCsörnyei2003,
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.},
author = {Marianna Csörnyei, Assaf Naor},
journal = {Studia Mathematica},
keywords = {convex functions; Lipschitz functions; –convex functions; convex sets},
language = {eng},
number = {3},
pages = {269-286},
title = {Lipschitz sums of convex functions},
url = {http://eudml.org/doc/284850},
volume = {158},
year = {2003},
}

TY - JOUR
AU - Marianna Csörnyei
AU - Assaf Naor
TI - Lipschitz sums of convex functions
JO - Studia Mathematica
PY - 2003
VL - 158
IS - 3
SP - 269
EP - 286
AB - 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.
LA - eng
KW - convex functions; Lipschitz functions; –convex functions; convex sets
UR - http://eudml.org/doc/284850
ER -