In this paper, the criteria of strong roughness, roughness and pointwise roughness of Orlicz norm and Luxemburg norm on Musielak-Orlicz function spaces are obtained.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-21,
author = {Jimin Zheng and Lihuan Sun and Yun'an Cui},
title = {Roughness of two norms on Musielak-Orlicz function spaces},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {253-263},
zbl = {1145.46011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-21}
}
Jimin Zheng; Lihuan Sun; Yun'an Cui. Roughness of two norms on Musielak-Orlicz function spaces. Banach Center Publications, Tome 83 (2008) pp. 253-263. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc79-0-21/