Capacitary type estimates in strongly nonlinear potential theory and applications.

Noureddine Aissaoui

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 2, page 347-370
  • ISSN: 1139-1138

Abstract

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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).

How to cite

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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 -

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