Square function inequalities for non-commutative martingales
type: Item
instance of: scholarly article
title: Square function inequalities for non-commutative martingales
zbMATH Open document ID: 1068.46040
DOI: 10.1007/BF02786639
author: Narcisse Randrianantoanina
published in: Israel Journal of Mathematics
publication date: 2004-11-11T00:00:00Z
review text: This paper is the second one of a series of three papers by the author on noncommutative martingale inequalities. In the present paper, the author continues his study of weak type (1,1) inequalities for noncommutative martingales. Using the method developed in his first paper [J. Funct. Anal. 194, 181--212 (2002; Zbl 1030.46083)], he obtains a noncommutative version of the classical Burkholder weak type (1,1) inequality for the martingale square function. However, this noncommutative weak type (1,1) inequality is not very satisfactory, for the two sequences in the decomposition of a given martingale difference sequence are not formed of martingale differences. This problem has been solved in the author's third paper that will appear in Bull. Lond. Math. Soc.
reviewed by: Quanhua Xu
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 46L52
zbMATH DE Number: 2114406
zbMATH Keywords: noncommutative martingale
zbMATH Keywords: square function
zbMATH Keywords: weak type (1, 1) inequality
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2114406