Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces

Farrukh Mukhamedov; Humberto Rafeiro

doi:10.4171/RLM/915

Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We obtain weighted strong law of large numbers for a sequence of random variables belonging to variable exponent vector-valued Lebesgue spaces. As an application, we establish sufficient conditions for the convergence of weighted ergodic averages and weighted series of contractions in Banach spaces.

Original language	English
Pages (from-to)	791-814
Number of pages	24
Journal	Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni
Volume	31
Issue number	4
DOIs	https://doi.org/10.4171/RLM/915
Publication status	Published - 2020

Keywords

Modulated
One-sided ergodic Hilbert transform
Weight

ASJC Scopus subject areas

General Mathematics

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10.4171/RLM/915

Cite this

Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces. / Mukhamedov, Farrukh ; Rafeiro, Humberto.
In: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica E Applicazioni, Vol. 31, No. 4, 2020, p. 791-814.

Research output: Contribution to journal › Article › peer-review

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KW - One-sided ergodic Hilbert transform

KW - Weight

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Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces

Abstract

Keywords

ASJC Scopus subject areas

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