Bessel potentials in Orlicz spaces.

N. Aïssaoui

Displaying similar documents to “Bessel potentials in Orlicz spaces.”

On the continuity of Bessel potentials in Orlicz spaces.

N. Aïssaoui (1996)

Collectanea Mathematica

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It is shown that Bessel capacities in reflexive Orlicz spaces are non increasing under orthogonal projection of sets. This is used to get a continuity of potentials on some subspaces. The obtained results generalize those of Meyers and Reshetnyak in the case of Lebesgue classes.

On the WM points of Orlicz function spaces endowed with Luxemburg norm.

Tingfu Wang, Cuixia Hao, Minli Li (1995)

Revista Matemática de la Universidad Complutense de Madrid

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The concept of WM point is introduced and the criterion of WM property in Orlicz function spaces endowed with Luxemburg norm is given.

On the density of smooth functions in Sobolev-Orlicz spaces.

Zhikov, V.V. (2004)

Journal of Mathematical Sciences (New York)

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Fine behavior of functions whose gradients are in an Orlicz space

Jan Malý, David Swanson, William P. Ziemer (2009)

Studia Mathematica

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For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.

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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The importance of being Orlicz

Jürgen Appell (2004)

Banach Center Publications

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Intersections and algebraic sums of Musielak-Orlicz spaces

Hudzik, H. (1981)

Portugaliae mathematica

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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.

Order continuous seminorms and weak compactness in Orlicz spaces.

Marian Nowak (1993)

Collectanea Mathematica

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Let L-phi be an Orlicz space defined by a Young function phi over a sigma-finite measure space, and let phi* denote the complementary function in the sense of Young. We give a characterization of the Mackey topology tau(L*,L-phi*) in terms of some family of norms defined by some regular Young functions. Next we describe order continuous (=absolutely continuous) Riesz seminorms on L-phi, and obtain a criterion for relative sigma(L-phi,L-phi*)-compactness in L-phi. As an application we...

Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm

Zenon Zbąszyniak (1994)

Commentationes Mathematicae Universitatis Carolinae

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There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given.