In this paper, some necessary and sufficient conditions for $\sup \{k_x:\|x\|^0=1\}< \infty $ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are given.
@article{119241, author = {Lianying Cao and Ting Fu Wang}, title = {Criteria for $k\_M<\infty$ in Musielak-Orlicz spaces}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {42}, year = {2001}, pages = {259-266}, zbl = {1056.46016}, mrnumber = {1832145}, language = {en}, url = {http://dml.mathdoc.fr/item/119241} }
Cao, Lianying; Wang, Ting Fu. Criteria for $k_M<\infty$ in Musielak-Orlicz spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 259-266. http://gdmltest.u-ga.fr/item/119241/
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