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Orlicz Spaces and Generalized Orlicz Spaces
Lecture Notes in Mathematics, 2019Peter Hästö, Petteri Harjulehto
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Doklady Mathematics, 2022
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WM PROPERTY OF ORLICZ SPACES WITH ORLICZ NORM
Acta Mathematica Scientia, 1994Summary: It is shown that an Orlicz space \(L_ M\) with Orlicz norm has WM property iff it is reflexive and the right derivative of its generating function \(M\) is continuous at both extreme points of any interval on which \(M\) is affine.
Chen, Shutao, Duan, Yanzheng
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Israel Journal of Mathematics, 1972
It is proved that the set ofp's such thatlp is isomorphic to a subspace of a given Orlicz spacelFforms an interval. Some examples and properties of minimal Orlicz sequence spaces are presented. It is proved that an Orlicz function space (different froml2) is not isomorphic to a subspace of an Orlicz sequence space.
Lindenstrauss, J., Tzafriri, L.
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It is proved that the set ofp's such thatlp is isomorphic to a subspace of a given Orlicz spacelFforms an interval. Some examples and properties of minimal Orlicz sequence spaces are presented. It is proved that an Orlicz function space (different froml2) is not isomorphic to a subspace of an Orlicz sequence space.
Lindenstrauss, J., Tzafriri, L.
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Inclusions in Generalized Orlicz Spaces
Bulletin of the Iranian Mathematical Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sawano, Yoshihiro +1 more
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Characterizations of Hardy-Orlicz and Bergman-Orlicz spaces
Journal of Mathematical Sciences, 2007Let \(\phi \,:\,\mathbb R\mapsto [0,+\infty)\) be an increasing and convex function. The Hardy--Orlicz space \(H_\phi(B)\) in the unit ball \(B\) of \(\mathbb C^n\) is defined as the space of functions \(f\) holomorphic in \(B\) and such that \(\phi(\log| f| )\) possesses a harmonic majorant in \(B\). The Bergman--Orlicz space \(A_\phi(\nu_\alpha)\) is
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On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm
Canadian Journal of Mathematics, 2003AbstractLet lΦ and LΦ(Ω) be the Orlicz sequence space and function space generated by N-function Φ(u) with Orlicz norm. We give equivalent expressions for the nonsquare constants CJ(lΦ), CJ(LΦ(Ω)) in sense of James and CS(lΦ), CS(LΦ(Ω)) in sense of Schäffer.
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Dynamics on Noncommutative Orlicz Spaces
Acta Mathematica Scientia, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Labuschagne, L.E., Majewski, W.A.
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Martingale Orlicz‐Hardy spaces
Mathematische Nachrichten, 2012AbstractThe purpose of this paper is to introduce five martingale Orlicz‐Hardy spaces and to establish the atomic decomposition theorem. As applications we show the relation among five martingale Orlicz‐Hardy spaces and the duality, namely, the dual of martingale Orlicz‐Hardy spaces are generalized martingale Campanato spaces.
Miyamoto, Takashi +2 more
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