A Liouville-type theorem for very weak solutions of nonlinear partial differential equations.
Alberto Fiorenza (1997)
Collectanea Mathematica
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Displaying similar documents to “Noncommutative weak Orlicz spaces and martingale inequalities”
A Liouville-type theorem for very weak solutions of nonlinear partial differential equations.
Maximal function in Beurling-Orlicz and central Morrey-Orlicz spaces
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.
On the weak star uniformly rotund points of Orlicz spaces.
Ting Fu Wang, Quan Di Wang (1993)
Collectanea Mathematica
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We obtain the necessary and sufficient condition of weak star uniformly rotund point in 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.
Weak orthogonality and weak property () in some Banach sequence spaces
Yunan Cui, Henryk Hudzik, Ryszard Płuciennik (1999)
Czechoslovak Mathematical Journal
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It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order continuous. Criteria for weak property () in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.
Interpolation of operations and Orlicz classes
Alberto Torchinsky (1976)
Studia Mathematica
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Weak compactness and Orlicz spaces
Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza (2008)
Colloquium Mathematicae
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We give new proofs that some Banach spaces have Pełczyński's property (V).
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....
On the locally uniformly weak star rotundity of Orlicz spaces.
Ting Fu Wang, Zhong Rui Shi (1994)
Revista Matemática de la Universidad Complutense de Madrid
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In the paper, a sufficient and necessary condition is given for the locally uniformly weak star rotundity of Orlicz spaces with Orlicz norms.
Interpolation of sublinear operators on generalized Orlicz and Hardy-Orlicz spaces
William Kraynek (1972)
Studia Mathematica
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On weak topology of Orlicz spaces.
Shutao Chen, Huiying Sun (1993)
Collectanea Mathematica
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This paper presents some properties of singular functionals on Orlicz spaces, from which criteria for weak convergence and weak compactness in such spaces are obtained.
Some remarks on Orlicz's interpolation theorem
Lech Maligranda (1989)
Studia Mathematica
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The existence of solutions for elliptic systems with nonuniform growth
Y. Q. Fu (2002)
Studia Mathematica
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We study the Dirichlet problems for elliptic partial differential systems with nonuniform growth. By means of the Musielak-Orlicz space theory, we obtain the existence of weak solutions, which generalizes the result of Acerbi and Fusco [1].