Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions

Mohamed Morsli; Mannal Smaali

Commentationes Mathematicae Universitatis Carolinae (2007)

  • Volume: 48, Issue: 3, page 443-458
  • ISSN: 0010-2628

Abstract

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We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg norm.

How to cite

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Morsli, Mohamed, and Smaali, Mannal. "Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions." Commentationes Mathematicae Universitatis Carolinae 48.3 (2007): 443-458. <http://eudml.org/doc/250214>.

@article{Morsli2007,
abstract = {We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg norm.},
author = {Morsli, Mohamed, Smaali, Mannal},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Besicovitch-Orlicz space; almost periodic functions; strict convexity; Besicovitch-Orlicz space; almost periodic functions; strict convexity},
language = {eng},
number = {3},
pages = {443-458},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions},
url = {http://eudml.org/doc/250214},
volume = {48},
year = {2007},
}

TY - JOUR
AU - Morsli, Mohamed
AU - Smaali, Mannal
TI - Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 3
SP - 443
EP - 458
AB - We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg norm.
LA - eng
KW - Besicovitch-Orlicz space; almost periodic functions; strict convexity; Besicovitch-Orlicz space; almost periodic functions; strict convexity
UR - http://eudml.org/doc/250214
ER -

References

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  2. Besicovitch A.S., Almost Periodic Functions, Dover Publ. Inc., New York, 1954. Zbl0065.07102MR0068029
  3. Chen S., Geometry of Orlicz spaces, Dissertationes Math. no. 356 (1996). Zbl1089.46500MR1410390
  4. Corduneanu C, Gheorghiu N., Barbu V., Almost Periodic Function, Chelsea Publishing Co., New York, 1989. MR0481915
  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. Zbl0656.46020MR0856581
  6. Hudzik H., Strict convexity of Musielak- Orlicz spaces with Luxemburg's norm, Bull. Acad. Polon. Sci. Math. 39 5-6 (1981), 235-247. (1981) Zbl0479.46014MR0640468
  7. Hudzik H., Kaminska A., On uniformly convexifiable and B -convex Musielak-Orlicz spaces, Comment. Math. Prace Mat. 25 (1985), 59-75. (1985) Zbl0588.46022MR0795121
  8. Levitan B.M., Zhikov V.V., Almost Periodic Functions and Differential Equations, Cambridge University Press, Cambridge, 1982. Zbl0499.43005MR0690064
  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. (2005) Zbl1112.46013MR2150272
  10. Morsli M., On some convexity properties of the Besicovitch-Orlicz spaces of almost periodic functions, Comment. Math. Prace Mat. 34 (1994), 137-152. (1994) MR1325081
  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. (2003) Zbl1061.46029MR2032925
  12. Musielak J., Orlicz W., On modular spaces, Studia Math. 18 (1959), 49-65. (1959) Zbl0099.09202MR0101487
  13. Pankov A.A., Bounded and almost periodic solutions of nonlinear operator differential equations, Kluwer Acad. Publ., London, 1990. Zbl0712.34001MR1120781

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