Multiparameter Abelian ergodic theorems of Chacon-Báez-Duarte type

Yoshimoto, Takeshi: Multiparameter Abelian ergodic theorems of Chacon-Báez-Duarte type. In: Acta scientiarum mathematicarum 86. pp. 167-182. (2020)

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Abstract

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.

Item Type: Article
Heading title: Analysis
Journal or Publication Title: Acta scientiarum mathematicarum
Date: 2020
Number: 86
ISSN: 2064-8316
Page Range: pp. 167-182
Related URLs: http://acta.bibl.u-szeged.hu/69543/
DOI: https://doi.org/10.14232/actasm-019-757-4
Uncontrolled Keywords: Matematika
Additional Information: Bibliogr.: 182. p. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2020. Jul. 27. 10:24
Last Modified: 2020. Jul. 27. 10:24
URI: http://acta.bibl.u-szeged.hu/id/eprint/69367

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