Tree martingales in noncommutative probability spaces
type: Item
instance of: scholarly article
title: Tree martingales in noncommutative probability spaces
zbMATH Open document ID: 1455.46071
author: Ghadir Sadeghi
published in: Complex Analysis and Operator Theory
publication date: 2020-10-12T00:00:00Z
review text: The author introduces the notion of a tree martingale in a noncommutative probability space and proves the Burkholder-Gundy inequalities for tree martingales in symmetric operator spaces. The results are noncommutative versions of those presented in Chapter 4 of \textit{F. Weisz} [Martingale Hardy spaces and their applications in Fourier analysis. Berlin: Springer-Verlag (1994; Zbl 0796.60049)].
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 46L52
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 60G46
zbMATH DE Number: 7259471
zbMATH Keywords: noncommutative probability space
zbMATH Keywords: symmetric operator spaces
zbMATH Keywords: tree martingale
zbMATH Keywords: Burkholder-Gundy inequalities
MaRDI profile type: Publication
full work available at URL: s11785-020-01020-3
OpenAlex ID: W3047522556
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DOI: 10.1007/S11785-020-01020-3
description: scientific article; zbMATH DE number 7259471