Characterization of the k−convexity property in the Besicovitch-Orlicz space of almost periodic functions

Fazia Bedouhene, and Mohamed Morsli. "Characterization of the k−convexity property in the Besicovitch-Orlicz space of almost periodic functions." Commentationes Mathematicae 45.1 (2005): null. <http://eudml.org/doc/291769>.

@article{FaziaBedouhene2005,
abstract = {In the present paper, we give criteria for the k−convexity of the Besicovitch-Orlicz space of almost periodic functions. Namely, it is shown that k-convexity is equivalent to strict convexity and reflexivity of this space in the case of Luxemburg norm.},
author = {Fazia Bedouhene, Mohamed Morsli},
journal = {Commentationes Mathematicae},
keywords = {modular function space; nonlinear integral operator; Cauchy conservative family of operators},
language = {eng},
number = {1},
pages = {null},
title = {Characterization of the k−convexity property in the Besicovitch-Orlicz space of almost periodic functions},
url = {http://eudml.org/doc/291769},
volume = {45},
year = {2005},
}

TY - JOUR
AU - Fazia Bedouhene
AU - Mohamed Morsli
TI - Characterization of the k−convexity property in the Besicovitch-Orlicz space of almost periodic functions
JO - Commentationes Mathematicae
PY - 2005
VL - 45
IS - 1
SP - null
AB - In the present paper, we give criteria for the k−convexity of the Besicovitch-Orlicz space of almost periodic functions. Namely, it is shown that k-convexity is equivalent to strict convexity and reflexivity of this space in the case of Luxemburg norm.
LA - eng
KW - modular function space; nonlinear integral operator; Cauchy conservative family of operators
UR - http://eudml.org/doc/291769
ER -