%A  Yoshimoto Takeshi
%L acta69367
%N 86
%D 2020
%P 167-182
%O Bibliogr.: 182. p. ; ĂśsszefoglalĂĄs angol nyelven
%J Acta scientiarum mathematicarum
%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.
%T Multiparameter Abelian ergodic theorems of Chacon-BĂĄez-Duarte type
%K Matematika