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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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.
Yuzan He (1988)
Annales Polonici Mathematici
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Lech Maligranda, Witold Wnuk (2004)
Banach Center Publications
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William Kraynek (1972)
Studia Mathematica
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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].
Tao Zhang (2003)
Annales Polonici Mathematici
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Estimation of the Jung constants of Orlicz sequence spaces equipped with either the Luxemburg norm or the Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz sequence spaces are found by using new quantitative indices for 𝓝-functions.
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.
Jimin Zheng, Lihuan Sun, Yun'an Cui (2008)
Banach Center Publications
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In this paper, the criteria of strong roughness, roughness and pointwise roughness of Orlicz norm and Luxemburg norm on Musielak-Orlicz function spaces are obtained.
Wojbor A. Woyczyński (1970)
Colloquium Mathematicae
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Jürgen Appell (2004)
Banach Center Publications
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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.
Hudzik, H. (1981)
Portugaliae mathematica
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César Ruiz (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Francisco L. Hernández (2004)
Banach Center Publications
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Khalil, Roshdi (1986)
International Journal of Mathematics and Mathematical Sciences
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