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Article

Cao, Lianying ; Wang, Tingfu
Criteria for $k_M<\infty$ in Musielak-Orlicz spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 42 (2001), issue 2, pp. 259-266
MSC: 46B20, 46B30, 46B45, 46E30 | MR 1832145 | Zbl 1056.46016
Keywords:
Musielak-Orlicz space; Orlicz norm
Summary:
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.
References:
[1] Chen S.: Some rotundities of Orlicz space with Orlicz norm. Bull. Polish Acad. Sci. Math. 34 (1986), 585-596. MR 0884206
[2] Chen S.: Geometry of Orlicz space. Dissertationes Math. 356 (1996), 1-204. MR 1410390
[3] Wu C., Sun H.: Norm calculation and complex convexity of the Musielak-Orlicz sequence space. Chinese Ann. Math. 12A (1991), suppl., 98-102. MR 1118272
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