| Title:
|
Sequentially compact sets in a class of generalized Orlicz spaces (English) |
| Author:
|
Wang, Jincai |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
119-132 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we will characterize sequentially compact sets in a class of generalized Orlicz spaces. (English) |
| Keyword:
|
generalized Orlicz space $L^{(M^{-1})}$ |
| Keyword:
|
sequentially compact set |
| Keyword:
|
$\triangle_2$-condition |
| MSC:
|
46B20 |
| MSC:
|
46B50 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 1090.46011 |
| idMR:
|
MR1903311 |
| . |
| Date available:
|
2009-01-08T19:20:01Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119304 |
| . |
| Reference:
|
[1] Rao M.M., Ren Z.D.: Theory of Orlicz Spaces.Marcel Dekker, New York, 1991. Zbl 0724.46032, MR 1113700 |
| Reference:
|
[2] Maligranda L.: Orlicz Spaces and Interpolation.Seminars in Mathematics 5, Univ. Estadual de Campinas, Capinas SP Brasil, 1989. Zbl 0874.46022, MR 2264389 |
| Reference:
|
[3] Rao M.M., Ren Z.D.: Applications of Orlicz Spaces.Marcel Dekker, New York, 2001, to appear. Zbl 0997.46027, MR 1890178 |
| Reference:
|
[4] Riesz F.: Untersuchungen über Systeme integrierbarer Funktionen.Math. Ann. 69 (1910), 449-497. MR 1511596 |
| Reference:
|
[5] Kantorovich L.V., Akilov G.P.: Functional Analysis.Pergamon Press, New York, 1982. Zbl 0555.46001, MR 0664597 |
| Reference:
|
[6] Krasnosel'skii M.A., Rutickii Ya.B.: Convex Functions and Orlicz Space.Noordhoff Ltd. Groningen, 1961. MR 0126722 |
| Reference:
|
[7] Takahashi T.: On the compactness of the function-set by the convergence in mean of general type.Studia Math. 5 (1935), 141-150. Zbl 0013.06501 |
| Reference:
|
[8] Gribanov Yu.: Nonlinear operators in Orlicz spaces (in Russian).U ̆c. zap. kazansk. Unta 115 (7) (1955). |
| Reference:
|
[9] Tsuji M.: On the compactness of space $L^p(p>0)$ and its application to integral equation.Mathematical Institute, Tokyo University, 1951. Zbl 0044.10701 |
| . |
