Capacitary type estimates in strongly nonlinear potential theory and applications.

Aissaoui, Noureddine. "Capacitary type estimates in strongly nonlinear potential theory and applications.." Revista Matemática Complutense 14.2 (2001): 347-370. <http://eudml.org/doc/44434>.

@article{Aissaoui2001,
abstract = {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).},
author = {Aissaoui, Noureddine},
journal = {Revista Matemática Complutense},
keywords = {Teoría del potencial; Potencial de Bessel; Espacios de funciones lineales; Espacios de Sobolev; Espacio de Orlicz; truncation of Riesz and Bessel potentials; Orlicz-Sobolev spaces; capacitary type estimate; quasicontinuous functions},
language = {eng},
number = {2},
pages = {347-370},
title = {Capacitary type estimates in strongly nonlinear potential theory and applications.},
url = {http://eudml.org/doc/44434},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Aissaoui, Noureddine
TI - Capacitary type estimates in strongly nonlinear potential theory and applications.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 2
SP - 347
EP - 370
AB - 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).
LA - eng
KW - Teoría del potencial; Potencial de Bessel; Espacios de funciones lineales; Espacios de Sobolev; Espacio de Orlicz; truncation of Riesz and Bessel potentials; Orlicz-Sobolev spaces; capacitary type estimate; quasicontinuous functions
UR - http://eudml.org/doc/44434
ER -