%0 Journal Article
%@ 2064-8316
%A  Yoshimoto Takeshi
%D 2020
%F acta:69367
%J Acta scientiarum mathematicarum
%K Matematika
%N 86
%P 167-182
%T Multiparameter Abelian ergodic theorems of Chacon-Báez-Duarte type
%U http://acta.bibl.u-szeged.hu/69367/
%X We prove a multiparameter Llogk L generalization of the Báez– Duarte Abelian ergodic theorem for positive linear contractions on L1, which allows the application of the local convergence principle of Sucheston’s type. Next we establish a new weighted Abelian ratio ergodic theorem for Dunford– Schwartz operators on L1 with modulation by Besicovitch sequences. Moreover, this (one-parameter) result is generalized to the case of multiparameter operator averages, which allows the application of Fava’s maximal ergodic inequality.
%Z Bibliogr.: 182. p. ; összefoglalás angol nyelven