Results 241 to 250 of about 4,655,315 (283)
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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.
Joram Lindenstrauss, L. Tzafriri
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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.
Joram Lindenstrauss, L. Tzafriri
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Polyhedrality in Orlicz spaces
Israel Journal of Mathematics, 2008We 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, 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.
Yanzheng Duan, Shutao Chen
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INTERNATIONAL SEMINAR ON MATHEMATICS, SCIENCE, AND COMPUTER SCIENCE EDUCATION (MSCEIS) 2021, 2023
Siti Fatimah +3 more
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Siti Fatimah +3 more
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Fractional maximal function and its commutators on Orlicz spaces
, 2018In 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, 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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Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces
Springer Monographs in Mathematics, 2021Iwona Chlebicka +3 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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