| Title:
|
Criteria for $k_M<\infty$ in Musielak-Orlicz spaces (English) |
| Author:
|
Cao, Lianying |
| Author:
|
Wang, Tingfu |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
2 |
| Year:
|
2001 |
| Pages:
|
259-266 |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Musielak-Orlicz space |
| Keyword:
|
Orlicz norm |
| MSC:
|
46B20 |
| MSC:
|
46B30 |
| MSC:
|
46B45 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 1056.46016 |
| idMR:
|
MR1832145 |
| . |
| Date available:
|
2009-01-08T19:09:40Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119241 |
| . |
| Reference:
|
[1] Chen S.: Some rotundities of Orlicz space with Orlicz norm.Bull. Polish Acad. Sci. Math. 34 (1986), 585-596. MR 0884206 |
| Reference:
|
[2] Chen S.: Geometry of Orlicz space.Dissertationes Math. 356 (1996), 1-204. MR 1410390 |
| Reference:
|
[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 |
| . |
