Interpolation of sublinear operators on generalized Orlicz and Hardy-Orlicz spaces
William Kraynek (1972)
Studia Mathematica
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Displaying similar documents to “Some remarks on Orlicz's interpolation theorem”
Interpolation of sublinear operators on generalized Orlicz and Hardy-Orlicz spaces
Capacitary Orlicz spaces, Calderón products and interpolation
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.
Interpolation of operations and Orlicz classes
Alberto Torchinsky (1976)
Studia Mathematica
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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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Some basic properties of generalized Calderon-Lozanovskiî.
Pawel Foralewski, Henryk Hudzik (1997)
Collectanea Mathematica
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Intersections and algebraic sums of Musielak-Orlicz spaces
Hudzik, H. (1981)
Portugaliae mathematica
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On W*UR point and UR point of Orlicz spaces with Orlicz norm.
Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)
Collectanea Mathematica
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For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.
Indices and 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....
The Orlicz type theorem for differential-integral equations with a lagging argument
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Władysław Orlicz (1903-1990). A biography
Lech Maligranda, Witold Wnuk (2004)
Banach Center Publications
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On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
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].
A characterization of Orlicz spaces isometric to Lp-spaces.
Grzegorz Lewicki (1997)
Collectanea Mathematica
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In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-spaces.
Contractive projections in Orlicz sequence spaces.
Randrianantoanina, Beata (2004)
Abstract and Applied Analysis
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Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm.
Henryk Hudzik, Zenon Zbaszyniak (1997)
Collectanea Mathematica
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A formula for the distance of an arbitrary element x in Musielak-Orlicz space L^Phi from the subspace E^Phi of order continuous elements is given for both (the Luxemburg and the Orlicz) norms. A formula for the norm in the dual space of L^Phi is given for any of these two norms. Criteria for smooth points and smoothness in L^Phi and E^Phi equipped with the Orlicz norm are presented.