Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces
type: Item
instance of: scholarly article
title: Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces
DOI: 10.4171/RLM/915
author: Farruh Mukhamedov
author: Humberto Rafeiro
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 2021-07-02T00:00:00Z
review text: The authors consider the weighted strong laws of large numbers (for admissible weights) for random variables defined on variable exponent vector-valued Lebesgue spaces, which are more general than classical \(L_p\)-spaces. Considering admissible weights are much more general approach than the earlier papers have investigated. Applications of the obtained results include establishing sufficient conditions for the convergence of the randomly weighted ergodic averages and weighted series of contractions in Banach spaces.
Mathematics Subject Classification ID: 47H25
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 37A05
Mathematics Subject Classification ID: 60G10
Mathematics Subject Classification ID: 47H60
zbMATH DE Number: 7367169
zbMATH Keywords: strong law of large numbers
zbMATH Keywords: one-sided ergodic Hilbert transform
zbMATH Keywords: modulated ergodic theorems
reviewed by: Anatoliy Swishchuk
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/rlm/915
OpenAlex ID: W3130089410
description: scientific article; zbMATH DE number 7367169