Full paper in PDF:
$%N. Aissaoui, Bessel Potentials in Orlicz spaces, Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 55–79.%$

Bessel Potentials in Orlicz Spaces
Noureddine AÏSSAOUI
Départment de Mathématiques
Ecole Normale Supérieure
B.P. 34A Ville Nouvelle
Fèz — Morocco

Received: June 30, 1995
Revised: October 21, 1996
ABSTRACT

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.

1991 Mathematics Subject Classification: 46E35, 31B15.