Abstract-valued Orlicz spaces of range-varying type
This paper mainly deals with the abstract-valued Orlicz spaces of range-varying type. Using notions of Banach space net and continuous modular net etc., we give definitions of Lϱθ(⋅)(I, Xθ(⋅)) and L+ϱθ(⋅)$\begin{array}{} L_{+}^{\varrho_{\theta(\cdot)}} \end{array} $(I, Xθ(⋅)), and discuss their geo...
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Format: | Article |
Language: | English |
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De Gruyter
2018-08-01
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Series: | Open Mathematics |
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Online Access: | https://doi.org/10.1515/math-2018-0080 |