On the continuity of Bessel potentials in Orlicz spaces.

Aïssaoui, N.. "On the continuity of Bessel potentials in Orlicz spaces.." Collectanea Mathematica 47.1 (1996): 77-89. <http://eudml.org/doc/40151>.

@article{Aïssaoui1996,
abstract = {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.},
author = {Aïssaoui, N.},
journal = {Collectanea Mathematica},
keywords = {Espacio de Orlicz; Potencial de Bessel; Espacio reflexivo; Funciones continuas; nonlinear potential; Bessel capacities; reflexive Orlicz spaces; Bessel potentials; null sets; Lipschitzian maps},
language = {eng},
number = {1},
pages = {77-89},
title = {On the continuity of Bessel potentials in Orlicz spaces.},
url = {http://eudml.org/doc/40151},
volume = {47},
year = {1996},
}

TY - JOUR
AU - Aïssaoui, N.
TI - On the continuity of Bessel potentials in Orlicz spaces.
JO - Collectanea Mathematica
PY - 1996
VL - 47
IS - 1
SP - 77
EP - 89
AB - 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.
LA - eng
KW - Espacio de Orlicz; Potencial de Bessel; Espacio reflexivo; Funciones continuas; nonlinear potential; Bessel capacities; reflexive Orlicz spaces; Bessel potentials; null sets; Lipschitzian maps
UR - http://eudml.org/doc/40151
ER -