Ergodic results for certain contractions on Orlicz spaces with fixed points.
Diego Gallardo (1989)
Publicacions Matemàtiques
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Diego Gallardo (1989)
Publicacions Matemàtiques
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S. Montgomery-Smith (1992)
Studia Mathematica
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Orlicz-Lorentz spaces provide a common generalization of Orlicz spaces and Lorentz spaces. They have been studied by many authors, including Mastyło, Maligranda, and Kamińska. In this paper, we consider the problem of comparing the Orlicz-Lorentz norms, and establish necessary and sufficient conditions for them to be equivalent. As a corollary, we give necessary and sufficient conditions for a Lorentz-Sharpley space to be equivalent to an Orlicz space, extending results of Lorentz and...
Bordin, B., Garcia, J.B. (1991)
Portugaliae mathematica
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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*....
Menita Carozza, Antonia Passarelli di Napoli (1996)
Publicacions Matemàtiques
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(1990)
Studia Mathematica
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Pawel Foralewski, Henryk Hudzik (1997)
Collectanea Mathematica
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William Kraynek (1972)
Studia Mathematica
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Khalil, Roshdi (1986)
International Journal of Mathematics and Mathematical Sciences
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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.