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.
@article{urn:eudml:doc:44245,
title = {Bessel potentials in Orlicz spaces.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {10},
year = {1997},
pages = {55-79},
zbl = {0899.46019},
mrnumber = {MR1452563},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44245}
}
Aïssaoui, N. Bessel potentials in Orlicz spaces.. Revista Matemática de la Universidad Complutense de Madrid, Tome 10 (1997) pp. 55-79. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44245/