Results 191 to 200 of about 1,659 (229)

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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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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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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Fenchel-Orlicz spaces

1976
Made available in DSpace on 2014-12-14T13:09:31Z (GMT). No. of bitstreams: 1 7624194.pdf: 3782416 bytes, checksum: cb6ba9419a448177bca5cc2c31ac9dd0 (MD5) Previous issue date: 1976 ; Embargo set by: Seth Robbins for item 68295 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
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Conjugate Spaces of Orlicz Spaces

Indagationes Mathematicae (Proceedings), 1956
Luxemburg, W. A. J., Zaanen, A. C.
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