Results 201 to 210 of about 14,081 (237)

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.
Lindenstrauss, J., Tzafriri, L.
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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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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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Martingale Orlicz‐Hardy spaces

Mathematische Nachrichten, 2012
AbstractThe 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, Nakai, Eiichi, Sadasue, Gaku   +2 more
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On Decomposition in Exponential Orlicz Spaces

Mathematische Nachrichten, 2000
Decompositions of spaces of exponential-type are derived and these decompositions are applied to obtain a simple proof of the result by \textit{H. Brézis} and \textit{S. Wainger} [Commun. Partial Differ. Equations 5, 773-789 (1980; Zbl 0437.35071)] concerning the limiting Sobolev imbedding.
Edmunds, David E., Krbec, Miroslav
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Interpolation of weighted Orlicz spaces

Applied Mathematics and Computation, 2003
Given \(\overline X=(X_0, X_1)\) a compatible couple of quasi-Banach spaces, \textit{J.~Gustavsson} and \textit{J.~Peetre} [Stud. Math. 60, 33-59 (1977; Zbl 0353.46019)] defined the interpolation functor \(\langle\overline X\rangle_\rho\), where \(\rho\) is a pseudo-concave function.
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Fenchel-Orlicz spaces

1976
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A Note on Hardy-Orlicz Spaces

Canadian Mathematical Bulletin, 1990
AbstractW. Deeb, R. Khalil and M. Marzuq have studied some properties of H(ϕ), the Hardy-Orlicz spaces. They introduced the functions class Np (0 < p ≦ 1 ) and discussed some properties of Np. In the present short note we prove that Np = N+ for 0 < p ≦ 1. We also give a condition of H(ϕ) = H(ψ).
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Conjugate Spaces of Orlicz Spaces

Indagationes Mathematicae (Proceedings), 1956
Luxemburg, W. A. J., Zaanen, A. C.
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Orlicz Spaces and Generalized Orlicz Spaces

2019
Hästö Peter, Harjulehto Petteri
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