Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems
Andrea Cianchi (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Andrea Cianchi (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
N. Aïssaoui (1996)
Collectanea Mathematica
Similarity:
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.
Noureddine Aïssaoui (2001)
Mathematica Slovaca
Similarity:
N. Aïssaoui (1997)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
It is shown that Bessel potentials have a representation in term of measure when the underlying space is Orlicz. A comparison between capacities and Lebesgue measure is given and geometric properties of Bessel capacities in this space are studied. Moreover it is shown that if the capacity of a set is null, then the variation of all signed measures of this set is null when these measures are in the dual of an Orlicz-Sobolev space.
Jan Malý, David Swanson, William P. Ziemer (2009)
Studia Mathematica
Similarity:
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.
Krbec, Miroslav, Schott, Thomas
Similarity:
Marian Nowak (1993)
Collectanea Mathematica
Similarity:
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...
Witold Wnuk (1984)
Studia Mathematica
Similarity: