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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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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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Inclusions in Generalized Orlicz Spaces
Bulletin of the Iranian Mathematical Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sawano, Yoshihiro +1 more
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On Decomposition in Exponential Orlicz Spaces
Mathematische Nachrichten, 2000Decompositions 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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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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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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Martingale Orlicz‐Hardy spaces
Mathematische Nachrichten, 2012AbstractThe 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 +2 more
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Interpolation of weighted Orlicz spaces
Applied Mathematics and Computation, 2003Given \(\overline X=(X_0, X_1)\) 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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On Smallest and Largest Orlicz Spaces
Mathematische Nachrichten, 1989AbstractThere are found the smallest and largest spaces among all ORLICZ spaces generated by non‐decreasing ORLICZ functions and also among all ORLICZ spaces generated by s‐convex ORLICZ functions, 0 < s ⩽ 1.
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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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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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DECOMPOSITION FOR BERS-ORLICZ SPACES
Acta Mathematica Scientia, 1995Summary: Some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coefficients of the functions in Bers-Orlicz spaces are given.
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