In [5], we characterized the uniform convexity with respect to the Luxemburg norm of the Besicovitch-Orlicz space of almost periodic functions. Here we give an analogous result when this space is endowed with the Orlicz norm.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-9,
author = {Mohamed Morsli and Fazia Bedouhene},
title = {On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm},
journal = {Colloquium Mathematicae},
volume = {103},
year = {2005},
pages = {97-111},
zbl = {1112.46013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-9}
}
Mohamed Morsli; Fazia Bedouhene. On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm. Colloquium Mathematicae, Tome 103 (2005) pp. 97-111. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm102-1-9/