On the continuity of Bessel potentials in Orlicz spaces.
Aïssaoui, N.
Collectanea Mathematica, Tome 47 (1996), p. 77-89 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

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.

Publié le : 1996-01-01
DMLE-ID : 280 
@article{urn:eudml:doc:40151,
     title = {On the continuity of Bessel potentials in Orlicz spaces.},
     journal = {Collectanea Mathematica},
     volume = {47},
     year = {1996},
     pages = {77-89},
     zbl = {0852.46028},
     mrnumber = {MR1387664},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40151}
}

Aïssaoui, N. On the continuity of Bessel potentials in Orlicz spaces.. Collectanea Mathematica, Tome 47 (1996) pp. 77-89. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40151/