Weak-type estimates for martingale maximal functions

IF 0.5 4区数学 Q4 STATISTICS & PROBABILITY

Electronic Communications in Probability Pub Date : 2022-01-01 DOI:10.1214/22-ecp494

A. Osȩkowski, Mateusz Wojtas

引用次数: 0

Abstract

The paper contains the study of sharp extensions of weak-type estimates for a martingale maximal function. Given 1 < p < ∞ and a pair ( x, y ) of nonnegative numbers satisfying x p ≤ y , we identify the optimal upper bounds for (cid:107)| sup n f n |(cid:107) p, ∞ , for nonnegative martingales f = ( f n ) n ≥ 0 satisfying (cid:107) f (cid:107) 1 = x and (cid:107) f (cid:107) pp = y .

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鞅极大函数的弱型估计

本文研究了一个鞅极大函数的弱型估计的尖锐扩张。给定1＜p＜∞和一对满足x p≤y的非负数（x，y），我们确定了（cid:107）|supn f n|（cid:107）p，∞的最优上界，对于非负鞅f＝（f n）n≥0满足（cid:10 7）f（cid:7）1＝x和（cid:07）f（acid:107）pp＝y。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Communications in Probability 工程技术-统计学与概率论

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Electronic Communications in Probability (ECP) publishes short research articles in probability theory. Its sister journal, the Electronic Journal of Probability (EJP), publishes full-length articles in probability theory. Short papers, those less than 12 pages, should be submitted to ECP first. EJP and ECP share the same editorial board, but with different Editors in Chief.