Eigenvalue distribution of integral operators defined by Besov-Orlicz kernels.
Elshobaky, E., Faragallah, M. (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Elshobaky, E., Faragallah, M. (1997)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Alberto Torchinsky (1976)
Studia Mathematica
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Pilar Silvestre (2014)
Banach Center Publications
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These notes are devoted to the analysis on a capacity space, with capacities as substitutes of measures of the Orlicz function spaces. The goal is to study some aspects of the classical theory of Orlicz spaces for these spaces including the classical theory of interpolation.
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....
William Kraynek (1972)
Studia Mathematica
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Lech Maligranda (1989)
Studia Mathematica
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Andreas Hartmann (1999)
Studia Mathematica
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Jan Gustavsson, Jaak Peetre (1977)
Studia Mathematica
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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.
Jürgen Appell (2004)
Banach Center Publications
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Andrzej Kasperski (2011)
Banach Center Publications
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In this paper we consider some spaces of differentiable multifunctions, in particular the generalized Orlicz-Sobolev spaces of multifunctions, we study completeness of them, and give some theorems.
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Lech Maligranda, Witold Wnuk (2004)
Banach Center Publications
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Pawel Foralewski, Henryk Hudzik (1997)
Collectanea 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].
Hudzik, H. (1981)
Portugaliae mathematica
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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.