Geodesic
Maximal operators, Lebesgue points and quasicontinuity in strongly nonlinear potential theory
Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 1 
N. Aissaoui. Maximal operators, Lebesgue points and quasicontinuity in strongly nonlinear
potential theory. Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2002_71_1_a5/
@article{AMUC_2002_71_1_a5,
     author = {N. Aissaoui},
     title = {Maximal operators, {Lebesgue} points and quasicontinuity in strongly nonlinear
potential theory},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2002},
     volume = {71},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2002_71_1_a5/}
}
TY  - JOUR
AU  - N. Aissaoui
TI  - Maximal operators, Lebesgue points and quasicontinuity in strongly nonlinear
potential theory
JO  - Acta mathematica Universitatis Comenianae
PY  - 2002
VL  - 71
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2002_71_1_a5/
ID  - AMUC_2002_71_1_a5
ER  - 
%0 Journal Article
%A N. Aissaoui
%T Maximal operators, Lebesgue points and quasicontinuity in strongly nonlinear
potential theory
%J Acta mathematica Universitatis Comenianae
%D 2002
%V 71
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2002_71_1_a5/
%F AMUC_2002_71_1_a5

Voir la notice de l'article provenant de la source Comenius University

Many maximal functions defined on some Orlicz spaces $\mathbf L _ A $ are bounded operators on $\mathbf L _ A $ if and only if they satisfy a capacitary weak inequality. We show also that $(m,A)-$quasievery $x$ is a Lebesgue point for $f$ in $\mathbf L _ A $ sense and we give an $(m,A)-$ quasicontinuous representative for $f$ when $L_A$ is reflexive.