Criteria for k M < in Musielak-Orlicz spaces

Lianying Cao; Ting Fu Wang

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 2, page 259-266
  • ISSN: 0010-2628

Abstract

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In this paper, some necessary and sufficient conditions for sup { k x : x 0 = 1 } < in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are given.

How to cite

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Cao, Lianying, and Wang, Ting Fu. "Criteria for $k_M<\infty $ in Musielak-Orlicz spaces." Commentationes Mathematicae Universitatis Carolinae 42.2 (2001): 259-266. <http://eudml.org/doc/248822>.

@article{Cao2001,
abstract = {In this paper, some necessary and sufficient conditions for $\sup \lbrace k_x:\Vert x\Vert ^0=1\rbrace < \infty $ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are given.},
author = {Cao, Lianying, Wang, Ting Fu},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Musielak-Orlicz space; Orlicz norm; Musielak–Orlicz space; Orlicz norm},
language = {eng},
number = {2},
pages = {259-266},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Criteria for $k_M<\infty $ in Musielak-Orlicz spaces},
url = {http://eudml.org/doc/248822},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Cao, Lianying
AU - Wang, Ting Fu
TI - Criteria for $k_M<\infty $ in Musielak-Orlicz spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 2
SP - 259
EP - 266
AB - In this paper, some necessary and sufficient conditions for $\sup \lbrace k_x:\Vert x\Vert ^0=1\rbrace < \infty $ in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are given.
LA - eng
KW - Musielak-Orlicz space; Orlicz norm; Musielak–Orlicz space; Orlicz norm
UR - http://eudml.org/doc/248822
ER -

References

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  1. Chen S., Some rotundities of Orlicz space with Orlicz norm, Bull. Polish Acad. Sci. Math. 34 (1986), 585-596. (1986) MR0884206
  2. Chen S., Geometry of Orlicz space, Dissertationes Math. 356 (1996), 1-204. (1996) MR1410390
  3. Wu C., Sun H., Norm calculation and complex convexity of the Musielak-Orlicz sequence space, Chinese Ann. Math. 12A (1991), suppl., 98-102. (1991) MR1118272

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