On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm

A. Daoui; M. Morsli; M. Smaali

Commentationes Mathematicae (2013)

  • Volume: 53, Issue: 2
  • ISSN: 2080-1211

Abstract

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We characterize the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions, when it is equipped with the Orlicz norm. It is shown that this property is equivalent to the strict convexity of the Musielak-Orlicz function generating the space.

How to cite

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A. Daoui, M. Morsli, and M. Smaali. "On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm." Commentationes Mathematicae 53.2 (2013): null. <http://eudml.org/doc/292501>.

@article{A2013,
abstract = {We characterize the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions, when it is equipped with the Orlicz norm. It is shown that this property is equivalent to the strict convexity of the Musielak-Orlicz function generating the space.},
author = {A. Daoui, M. Morsli, M. Smaali},
journal = {Commentationes Mathematicae},
keywords = {Besicovitch-Orlicz spaces, Musielak-Orlicz spaces,almost periodic functions, uniform convexity},
language = {eng},
number = {2},
pages = {null},
title = {On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm},
url = {http://eudml.org/doc/292501},
volume = {53},
year = {2013},
}

TY - JOUR
AU - A. Daoui
AU - M. Morsli
AU - M. Smaali
TI - On the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions equipped with the Orlicz norm
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 2
SP - null
AB - We characterize the strict convexity of Besicovitch-Musielak-Orlicz spaces of almost periodic functions, when it is equipped with the Orlicz norm. It is shown that this property is equivalent to the strict convexity of the Musielak-Orlicz function generating the space.
LA - eng
KW - Besicovitch-Orlicz spaces, Musielak-Orlicz spaces,almost periodic functions, uniform convexity
UR - http://eudml.org/doc/292501
ER -

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