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On products of Orlicz spaces

✍ Scribed by Tsuyoshi Andô

Publisher
Springer
Year
1960
Tongue
English
Weight
637 KB
Volume
140
Category
Article
ISSN
0025-5831

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📜 SIMILAR VOLUMES

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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 Brézis and Wainger concerning a limiting case of a Sobolev imbedding theorem.

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✍ Anna Kamińska 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 441 KB

## Abstract Spaces of Lorentz type called Orlicz‐Lorentz spaces are studied. There are given necessary and sufficient conditions for the spaces to be order continuous, separable, __KB__‐spaces and to contain isometric or isomorphic copy of __l__∞ or __c__~0~. Moreover a criterion for strict convexi