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On Orlicz sequence spaces. II

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.
Joram Lindenstrauss, L. Tzafriri
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Polyhedrality in Orlicz spaces

Israel Journal of Mathematics, 2008
We present a construction of an Orlicz space admitting a C∞-smooth bump which depends locally on finitely many coordinates, and which is not isomorphic to a subspace of any C(K), K scattered. In view of the related results this space is possibly not isomorphic to a polyhedral space.
Hájek, P. (Petr Pavel), Johanis, M.
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WM PROPERTY OF ORLICZ SPACES WITH ORLICZ NORM

Acta Mathematica Scientia, 1994
Summary: 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.
Yanzheng Duan, Shutao Chen
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Generalized orlicz spaces

INTERNATIONAL SEMINAR ON MATHEMATICS, SCIENCE, AND COMPUTER SCIENCE EDUCATION (MSCEIS) 2021, 2023
Siti Fatimah   +3 more
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Fractional maximal function and its commutators on Orlicz spaces

, 2018
In this paper, we find necessary and sufficient conditions for the boundedness of fractional maximal operator $$M_{\alpha }$$Mα on Orlicz spaces. As an application of this results we consider the boundedness of fractional maximal commutator $$M_{b,\alpha
V. Guliyev, F. Deringoz, S. G. Hasanov
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On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm

Canadian Journal of Mathematics, 2003
AbstractLet 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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Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces

Springer Monographs in Mathematics, 2021
Iwona Chlebicka   +3 more
semanticscholar   +1 more source

Binary Orlicz Spaces

Doklady. Mathematics, 2022
S. V. Astashkin
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Characterizations of Hardy-Orlicz and Bergman-Orlicz spaces

Journal of Mathematical Sciences, 2007
Let \(\phi \,:\,\mathbb R\mapsto [0,+\infty)\) 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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