Uniform convexity and associate spaces.
| Autor: | Harjulehto, Petteri |
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| Další autoři: | |
| Jazyk: | angličtina |
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| Druh dokumentu: | Non-fiction |
| ISSN: | 0011-4642 |
| Abstrakt: | Abstract: We prove that the associate space of a generalized Orlicz space Lϕ(·) is given by the conjugate modular ϕ* even without the assumption that simple functions belong to the space. Second, we show that every weakly doubling Φ-function is equivalent to a doubling Φ-function. As a consequence, we conclude that Lϕ(·) is uniformly convex if ϕ and ϕ* are weakly doubling. |
| Databáze: | Katalog Knihovny AV ČR |
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