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/