Interpolation of operations and Orlicz classes
Alberto Torchinsky (1976)
Studia Mathematica
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Alberto Torchinsky (1976)
Studia Mathematica
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William Kraynek (1972)
Studia Mathematica
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Lech Maligranda (1989)
Studia Mathematica
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Elshobaky, E., Faragallah, M. (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Lech Maligranda
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CONTENTS0. Introduction.............................................................................51. Submultiplicative functions and indices...................................72. Indices of measurable functions...........................................123. Indices of Orlicz spaces........................................................194. Indices of rearrangement invariant spaces...........................255. Interpolation theorems for weak type operators....................296....
Adam Bohonos, Ryszard Płuciennik (2011)
Banach Center Publications
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There are necessary conditions for a point x from the unit sphere to be a denting point of the unit ball of Orlicz spaces equipped with the Orlicz norm generated by arbitrary Orlicz functions. In contrast to results in [12, 17, 16], we present also examples of Orlicz spaces in which strongly extreme points of the unit ball are not denting points.
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Lech Maligranda, Witold Wnuk (2004)
Banach Center Publications
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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].
Jürgen Appell (2004)
Banach Center Publications
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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.
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.
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.
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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Elshobaky, E., Faragallah, M. (1998)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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