Geodesic
Pointwise weighted vector ergodic theorem in L 1 ( X )
Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 2 
K. El Berdan. Pointwise weighted vector ergodic theorem in L 1 ( X ). Acta mathematica Universitatis Comenianae, Tome 71 (2002) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2002_71_2_a8/
@article{AMUC_2002_71_2_a8,
     author = {K. El Berdan},
     title = {Pointwise weighted vector ergodic theorem in {L} 1 ( {X} )},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2002},
     volume = {71},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2002_71_2_a8/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper we prove the almost everywhere convergence of weighted multiparameter averages of linear surjective isometries in $L^{1}(X)$ and power bounded in $L^{p}(X),1\le p\leq \infty .$