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 “Orlicz bounds for operators of restricted weak type”
A Liouville-type theorem for very weak solutions of nonlinear partial differential equations.
Is an operator on weak which commutes with translations a convolution ?
Luca Brandolini, Leonardo Colzani (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Noncommutative weak Orlicz spaces and martingale inequalities
Turdebek N. Bekjan, Zeqian Chen, Peide Liu, Yong Jiao (2011)
Studia Mathematica
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This paper is devoted to the study of noncommutative weak Orlicz spaces and martingale inequalities. The Marcinkiewicz interpolation theorem is extended to include noncommutative weak Orlicz spaces as interpolation classes. As an application, we prove the weak type Φ-moment Burkholder-Gundy inequality for noncommutative martingales through establishing a weak type Φ-moment noncommutative Khinchin inequality for Rademacher random variables.
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.
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.
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.
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).
Spaces in which a bound on cardinality implies discreteness
D. L. Grant, I. L. Reilly (1990)
Matematički Vesnik
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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].
Maps between weak solenoidal spaces
James T. Rogers, Jeffrey L. Tollefson (1971)
Colloquium Mathematicae
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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.