A Liouville-type theorem for very weak solutions of nonlinear partial differential equations.

Alberto Fiorenza

Displaying similar documents to “A Liouville-type theorem for very weak solutions of nonlinear partial differential equations.”

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 ( $β$ ) 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 ( $β$ ) in Orlicz sequence spaces in the case of the Luxemburg norm as well as the Orlicz norm are given.

Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems

Andrea Cianchi (1996)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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An approximation theorem in higher order Orlicz-Sobolev spaces and applications

A. Benkirane, J.-P. Gossez (1989)

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.

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].

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.

Indices of Orlicz spaces and some applications

Alberto Fiorenza, Miroslav Krbec (1997)

Commentationes Mathematicae Universitatis Carolinae

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We study connections between the Boyd indices in Orlicz spaces and the growth conditions frequently met in various applications, for instance, in the regularity theory of variational integrals with non-standard growth. We develop a truncation method for computation of the indices and we also give characterizations of them in terms of the growth exponents and of the Jensen means. Applications concern variational integrals and extrapolation of integral operators.

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.