Results 231 to 240 of about 7,369 (269)

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.
Chen, Shutao, Duan, Yanzheng
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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.
Lindenstrauss, J., Tzafriri, L.
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Orlicz-Lorentz Sequence Spaces Equipped with the Orlicz Norm

Acta Mathematica Scientia, 2022
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Cui, Yunan, Foralewski, Paweł, Kończak, Joanna   +2 more
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Inclusions in Generalized Orlicz Spaces

Bulletin of the Iranian Mathematical Society, 2020
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Sawano, Yoshihiro, Tabatabaie, Seyyed Mohammad   +1 more
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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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Dynamics on Noncommutative Orlicz Spaces

Acta Mathematica Scientia, 2020
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Labuschagne, L.E., Majewski, W.A.
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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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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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Parabolic Equations in Orlicz Spaces

Journal of the London Mathematical Society, 2005
The authors deal with the following problem: \[ u_t+A(u)=f(x,t), \quad (x,t)\in\Omega\times(0,T), \] \[ u(x,t)=0, \quad (x,t)\in \partial\Omega\times(0,T), \] \[ u(x,0)=u_0(x), \quad x\in\Omega, \] where \(A(u)=-{\text{div}}(a(x,t,u,\nabla u))+a_0(x,t,u,\nabla u)\) and \(\Omega\) is a bounded open set in \({\mathbb R}^n\).
Elmahi, A., Meskine, D.
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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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