On the continuity of Bessel potentials in Orlicz spaces

Main Article Content

N. Aïssaoui
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.

Article Details

Com citar
Aïssaoui, N. “On the continuity of Bessel potentials in Orlicz spaces”. Collectanea Mathematica, vol.VOL 47, no. 1, pp. 77-89, https://raco.cat/index.php/CollectaneaMathematica/article/view/56325.