Sequentially compact sets in a class of generalized Orlicz spaces

Jin Cai Wang

Commentationes Mathematicae Universitatis Carolinae (2002)

  • Volume: 43, Issue: 1, page 119-132
  • ISSN: 0010-2628

Abstract

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In this paper, we will characterize sequentially compact sets in a class of generalized Orlicz spaces.

How to cite

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Wang, Jin Cai. "Sequentially compact sets in a class of generalized Orlicz spaces." Commentationes Mathematicae Universitatis Carolinae 43.1 (2002): 119-132. <http://eudml.org/doc/248986>.

@article{Wang2002,
abstract = {In this paper, we will characterize sequentially compact sets in a class of generalized Orlicz spaces.},
author = {Wang, Jin Cai},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {generalized Orlicz space $L^\{(M^\{-1\})\}$; sequentially compact set; $\triangle _2$-condition; generalized Orlicz space ; -condition; sequentially compact set},
language = {eng},
number = {1},
pages = {119-132},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sequentially compact sets in a class of generalized Orlicz spaces},
url = {http://eudml.org/doc/248986},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Wang, Jin Cai
TI - Sequentially compact sets in a class of generalized Orlicz spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2002
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 43
IS - 1
SP - 119
EP - 132
AB - In this paper, we will characterize sequentially compact sets in a class of generalized Orlicz spaces.
LA - eng
KW - generalized Orlicz space $L^{(M^{-1})}$; sequentially compact set; $\triangle _2$-condition; generalized Orlicz space ; -condition; sequentially compact set
UR - http://eudml.org/doc/248986
ER -

References

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  1. Rao M.M., Ren Z.D., Theory of Orlicz Spaces, Marcel Dekker, New York, 1991. Zbl0724.46032MR1113700
  2. Maligranda L., Orlicz Spaces and Interpolation, Seminars in Mathematics 5, Univ. Estadual de Campinas, Capinas SP Brasil, 1989. Zbl0874.46022MR2264389
  3. Rao M.M., Ren Z.D., Applications of Orlicz Spaces, Marcel Dekker, New York, 2001, to appear. Zbl0997.46027MR1890178
  4. Riesz F., Untersuchungen über Systeme integrierbarer Funktionen, Math. Ann. 69 (1910), 449-497. (1910) MR1511596
  5. Kantorovich L.V., Akilov G.P., Functional Analysis, Pergamon Press, New York, 1982. Zbl0555.46001MR0664597
  6. Krasnosel'skii M.A., Rutickii Ya.B., Convex Functions and Orlicz Space, Noordhoff Ltd. Groningen, 1961. MR0126722
  7. Takahashi T., On the compactness of the function-set by the convergence in mean of general type, Studia Math. 5 (1935), 141-150. (1935) Zbl0013.06501
  8. Gribanov Yu., Nonlinear operators in Orlicz spaces (in Russian), U ̆c. zap. kazansk. Unta 115 (7) (1955). (1955) 
  9. Tsuji M., On the compactness of space L p ( p > 0 ) and its application to integral equation, Mathematical Institute, Tokyo University, 1951. Zbl0044.10701

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