In this article a general result on smooth truncation of Riesz and Bessel potentials in Orlicz-Sobolev spaces is given and a capacitary type estimate is presented. We construct also a space of quasicontinuous functions and an alternative characterization of this space and a description of its dual are established. For the Riesz kernel Rm, we prove that operators of strong type (A, A), are also of capacitaries strong and weak types (m,A).
@article{urn:eudml:doc:44434,
title = {Capacitary type estimates in strongly nonlinear potential theory and applications.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {14},
year = {2001},
pages = {347-370},
zbl = {1015.46017},
mrnumber = {MR1871301},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44434}
}
Aissaoui, Noureddine. Capacitary type estimates in strongly nonlinear potential theory and applications.. Revista Matemática de la Universidad Complutense de Madrid, Tome 14 (2001) pp. 347-370. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44434/