Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued Lp -spaces

Farrukh Mukhamedov

doi:10.1007/s43036-021-00153-2

Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued L_p -spaces

Farrukh Mukhamedov

Department of Mathematical Sciences

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

Abstract

A more general notion of weight called admissible is introduced and then an investigation is carried out on the a.e. convergence of weighted strong laws of large numbers and their applications to weighted ergodic averages on vector-valued L_p-spaces.

Original language	English
Article number	57
Journal	Advances in Operator Theory
Volume	6
Issue number	3
DOIs	https://doi.org/10.1007/s43036-021-00153-2
Publication status	Published - Jul 2021

Keywords

Ergodic averages
One-sided ergodic Hilbert transform
Random
Weight

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

Access to Document

10.1007/s43036-021-00153-2

Cite this

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title = "Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued Lp -spaces",

abstract = "A more general notion of weight called admissible is introduced and then an investigation is carried out on the a.e. convergence of weighted strong laws of large numbers and their applications to weighted ergodic averages on vector-valued Lp-spaces.",

keywords = "Ergodic averages, One-sided ergodic Hilbert transform, Random, Weight",

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KW - One-sided ergodic Hilbert transform

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