On linear functionals in Hardy-Orlicz spaces, I
R. Leśniewicz (1973)
Studia Mathematica
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R. Leśniewicz (1973)
Studia Mathematica
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Yuzan He (1988)
Annales Polonici Mathematici
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Michał Rzeczkowski (2016)
Annales Polonici Mathematici
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We describe the Banach envelopes of Hardy-Orlicz spaces of analytic functions on an annulus in the complex plane generated by Orlicz functions well-estimated by power-type functions.
Wojbor A. Woyczyński (1970)
Colloquium Mathematicae
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Tadeusz Iwaniec, Carlo Sbordone (2004)
Banach Center Publications
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William Kraynek (1972)
Studia Mathematica
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Lech Maligranda, Katsuo Matsuoka (2015)
Colloquium Mathematicae
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We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.
Diego Gallardo (1988)
Publicacions Matemàtiques
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Let M be the Hardy-Littlewood maximal operator defined by: Mf(x) = supx ∈ Q 1/|Q| ∫Q |f| dx, (f ∈ Lloc(Rn)), where the supreme is taken over all cubes Q containing x and |Q| is the Lebesgue measure of Q. In this paper we characterize the Orlicz spaces Lφ*, associated to N-functions φ, such that M is bounded in Lφ*....
Eiichi Nakai (2008)
Studia Mathematica
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We prove basic properties of Orlicz-Morrey spaces and give a necessary and sufficient condition for boundedness of the Hardy-Littlewood maximal operator M from one Orlicz-Morrey space to another. For example, if f ∈ L(log L)(ℝⁿ), then Mf is in a (generalized) Morrey space (Example 5.1). As an application of boundedness of M, we prove the boundedness of generalized fractional integral operators, improving earlier results of the author.
Andreas Hartmann (1999)
Studia Mathematica
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Juhani Riihentaus, Caiheng Ouyang (1997)
Mathematica Scandinavica
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E.R. Love (1986)
Mathematische Zeitschrift
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S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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Ha Huy Bang, Nguyen Van Hoang, Vu Nhat Huy (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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We investigate best constants for inequalities between the Orlicz norm and Luxemburg norm in Orlicz spaces.
Paweł Kolwicz (2005)
Banach Center Publications
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We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].