Bessel potentials in Orlicz spaces.

Aïssaoui, N.. "Bessel potentials in Orlicz spaces.." Revista Matemática de la Universidad Complutense de Madrid 10.1 (1997): 55-79. <http://eudml.org/doc/44245>.

@article{Aïssaoui1997,
abstract = {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.},
author = {Aïssaoui, N.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Potencial de Bessel; Espacio de Orlicz; Espacio de medida; Representaciones; Bessel potentials; representation in term of measure; Lebesgue measure; Bessel capacities; signed measures; Orlicz-Sobolev space},
language = {eng},
number = {1},
pages = {55-79},
title = {Bessel potentials in Orlicz spaces.},
url = {http://eudml.org/doc/44245},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Aïssaoui, N.
TI - Bessel potentials in Orlicz spaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - 1
SP - 55
EP - 79
AB - 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.
LA - eng
KW - Potencial de Bessel; Espacio de Orlicz; Espacio de medida; Representaciones; Bessel potentials; representation in term of measure; Lebesgue measure; Bessel capacities; signed measures; Orlicz-Sobolev space
UR - http://eudml.org/doc/44245
ER -