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

被引：0

作者：

Mukhamedov, Farrukh ^{[1
,2
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, Coll Sci, POB 15551, Abu Dhabi, U Arab Emirates

[2] Uzbek Acad Sci, VI Romanovskiy Inst Math, Univ St 9, Tashkent 100174, Uzbekistan

来源：

ADVANCES IN OPERATOR THEORY | 2021年 / 6卷 / 03期

关键词：

Weight; One-sided ergodic Hilbert transform; Ergodic averages; Random; EVERYWHERE CONVERGENCE; HILBERT TRANSFORM; THEOREMS; SERIES; RATES; SUMS;

D O I：

10.1007/s43036-021-00153-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：34

共 19 条

[1] Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces
Mukhamedov, Farrukh
Rafeiro, Humberto
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2020, 31 (04) : 791 - 814
[2] Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_p$$\end{document}-spaces
Farrukh Mukhamedov
Advances in Operator Theory, 2021, 6 (3)
[3] On the rate of convergence of weighted oscillating ergodic averages
Darwiche, Ahmad
Schneider, Dominique
STOCHASTICS AND DYNAMICS, 2023, 23 (02)
[4] Analytic semigroups on vector valued noncommutative Lp-spaces
Arhancet, Cedric
STUDIA MATHEMATICA, 2013, 216 (03) : 271 - 290
[5] Vector-valued Fourier multipliers in Lp-spaces with power weights
Pruess, Jan
STUDIA MATHEMATICA, 2019, 247 (02) : 155 - 173
[6] On relative stability and weighted laws of large numbers
Adler, Andre
Pakes, Anthony G.
EXTREMES, 2017, 20 (01) : 1 - 31
[7] Rates of convergence in the strong law of large numbers for weighted averages of nonidentically distributed random variables
Benyahia, Wahiba
Boukhari, Fakhreddine
LITHUANIAN MATHEMATICAL JOURNAL, 2024, 64 (01) : 53 - 66
[8] Weighted spaces of vector-valued functions and the ε-product
Kruse, Karsten
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 14 (04) : 1509 - 1531
[9] INTERPOLATION OF WEIGHTED AND VECTOR-VALUED HARDY-SPACES
KISLIAKOV, SV
XU, QH
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 343 (01) : 1 - 34
[10] WEAK LAWS OF LARGE NUMBERS FOR WEIGHTED COORDINATEWISE PAIRWISE NQD RANDOM VECTORS IN HILBERT SPACES
Dung Van Le
Son Cong Ta
Cuong Manh Tran
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (02) : 457 - 473

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