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Displaying similar documents to “Orlicz bounds for operators of restricted weak type”

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

Similarity:

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.

On weak topology of Orlicz spaces.

Shutao Chen, Huiying Sun (1993)

Collectanea Mathematica

Similarity:

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

Similarity:

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.

Weak compactness and Orlicz spaces

Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza (2008)

Colloquium Mathematicae

Similarity:

We give new proofs that some Banach spaces have Pełczyński's property (V).

The existence of solutions for elliptic systems with nonuniform growth

Y. Q. Fu (2002)

Studia Mathematica

Similarity:

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 locally uniformly weak star rotundity of Orlicz spaces.

Ting Fu Wang, Zhong Rui Shi (1994)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

In the paper, a sufficient and necessary condition is given for the locally uniformly weak star rotundity of Orlicz spaces with Orlicz norms.

Weak uniform normal structure in direct sum spaces

Tomás Domínguez Benavides (1992)

Studia Mathematica

Similarity:

The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.