| Title:
|
Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions (English) |
| Author:
|
Morsli, Mohamed |
| Author:
|
Smaali, Mannal |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
48 |
| Issue:
|
3 |
| Year:
|
2007 |
| Pages:
|
443-458 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg norm. (English) |
| Keyword:
|
Besicovitch-Orlicz space |
| Keyword:
|
almost periodic functions |
| Keyword:
|
strict convexity |
| MSC:
|
42A75 |
| MSC:
|
46B20 |
| MSC:
|
46E15 |
| MSC:
|
46E30 |
| idZBL:
|
Zbl 1199.46045 |
| idMR:
|
MR2374126 |
| . |
| Date available:
|
2009-05-05T17:04:01Z |
| Last updated:
|
2012-05-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119671 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Chen S.: Geometry of Orlicz spaces.Dissertationes Math. no. 356 (1996). Zbl 1089.46500, MR 1410390 |
| Reference:
|
[4] Corduneanu C, Gheorghiu N., Barbu V.: Almost Periodic Function.Chelsea Publishing Co., New York, 1989. MR 0481915 |
| Reference:
|
[5] Hillmann T.R.: Besicovitch-Orlicz spaces of almost periodic functions.Real and Stochastic Analysis 164, Wiley Ser. Probab. Math. Statist., Wiley, New York, 1986. Zbl 0656.46020, MR 0856581 |
| Reference:
|
[6] Hudzik H.: Strict convexity of Musielak- Orlicz spaces with Luxemburg's norm.Bull. Acad. Polon. Sci. Math. 39 5-6 (1981), 235-247. Zbl 0479.46014, MR 0640468 |
| Reference:
|
[7] Hudzik H., Kaminska A.: On uniformly convexifiable and $B$-convex Musielak-Orlicz spaces.Comment. Math. Prace Mat. 25 (1985), 59-75. Zbl 0588.46022, MR 0795121 |
| Reference:
|
[8] Levitan B.M., Zhikov V.V.: Almost Periodic Functions and Differential Equations.Cambridge University Press, Cambridge, 1982. Zbl 0499.43005, MR 0690064 |
| Reference:
|
[9] Morsli M., Bedouhene F.: On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm.Colloq. Math. 102 1 (2005), 97-111. Zbl 1112.46013, MR 2150272 |
| Reference:
|
[10] Morsli M.: On some convexity properties of the Besicovitch-Orlicz spaces of almost periodic functions.Comment. Math. Prace Mat. 34 (1994), 137-152. MR 1325081 |
| Reference:
|
[11] Morsli M., Bedouhene F.: On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions.Rev. Mat. Complut. 16 2 (2003), 399-415. Zbl 1061.46029, MR 2032925 |
| Reference:
|
[12] Musielak J., Orlicz W.: On modular spaces.Studia Math. 18 (1959), 49-65. Zbl 0099.09202, MR 0101487 |
| Reference:
|
[13] Pankov A.A.: Bounded and almost periodic solutions of nonlinear operator differential equations.Kluwer Acad. Publ., London, 1990. Zbl 0712.34001, MR 1120781 |
| . |
