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On Decomposition in Exponential Orlicz Spaces

โœ Scribed by David E. Edmunds; Miroslav Krbec

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
256 KB
Volume
213
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Various characterizations are given of the exponential Orlicz space L exp t r and the Orlicz -Lorentz space L exp t r , t r . By way of application we give a simple proof of the celebrated theorem of Brรฉzis and Wainger concerning a limiting case of a Sobolev imbedding theorem.

๐Ÿ“œ SIMILAR VOLUMES

On Smallest and Largest Orlicz Spaces
On Smallest and Largest Orlicz Spaces
โœ Henryk Hudzik ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 289 KB

There are found the smallest and largest spaces among a11 ORLICZ spaces generated by non-decreasing ORLICZ functions and also among all ORLICZ spaces generated by 8-convex OBLICZ functions, 0 < 8 S 1.

Some Remarks on Orlicz-Lorentz Spaces
Some Remarks on Orlicz-Lorentz Spaces
โœ Anna Kamiล„ska ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 441 KB

## Abstract Spaces of Lorentz type called Orliczโ€Lorentz spaces are studied. There are given necessary and sufficient conditions for the spaces to be order continuous, separable, __KB__โ€spaces and to contain isometric or isomorphic copy of __l__โˆž or __c__~0~. Moreover a criterion for strict convexi

Approximative Compactness in Orlicz Spac
Approximative Compactness in Orlicz Spaces
โœ Henryk Hudzik; Baoxiang Wang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 193 KB

Some criteria for approximative compactness of Orlicz function and sequence spaces for both (the Luxemburg and the Orlicz) norms are presented.

On Multifunctionals in the Musielak-Orli
On Multifunctionals in the Musielak-Orlicz Spaces of Multifunctions
โœ Andrzej Kasperski ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 327 KB

## Abstract We introduce the notions of __X__~d,s(x),ฯ†~โ€linear multifunctional and __X__~d,s(x),ฯ†~โ€linear continuous multifunctional. We generalize the theorems on linear bounded functionals in the Musielakโ€Orlicz space.