Translator Disclaimer
2021 A1 Fefferman–Stein inequality for maximal functions of martingales in uniformly smooth spaces
Pavel Zorin-Kranich
Author Affiliations +
Electron. J. Probab. 26: 1-18 (2021). DOI: 10.1214/21-EJP680

Abstract

Let f be a martingale with values in a uniformly p-smooth Banach space and w any positive weight. We show that E(fw)E(Spfw), where is the martingale maximal operator and Sp is the p sum of martingale increments.

Acknowledgments

I thank Mark Veraar for making me aware of the recent developments concerning vector-valued extensions of Burkholder–Davis–Gundy inequalities. I thank the anonymous referee for helpful improvement suggestions.

Citation

Download Citation

Pavel Zorin-Kranich. "A1 Fefferman–Stein inequality for maximal functions of martingales in uniformly smooth spaces." Electron. J. Probab. 26 1 - 18, 2021. https://doi.org/10.1214/21-EJP680

Information

Received: 15 June 2021; Accepted: 29 July 2021; Published: 2021
First available in Project Euclid: 20 September 2021

Digital Object Identifier: 10.1214/21-EJP680

Subjects:
Primary: 60G42
Secondary: 60E15, 60G46, 60G48

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.26 • 2021
Back to Top