On the best constants in some non-commutative martingale inequalities

Marius Junge; Quanhua Xu

doi:10.1112/S0024609304003947

On the best constants in some non-commutative martingale inequalities

Marius Junge, Quanhua Xu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The optimal orders are determined for the best constants in the non-commutative Burkholder-Gundy, Doob and Stein inequalities obtained recently in non-commutative martingale theory.

Original language	English (US)
Pages (from-to)	243-253
Number of pages	11
Journal	Bulletin of the London Mathematical Society
Volume	37
Issue number	2
DOIs	https://doi.org/10.1112/S0024609304003947
State	Published - Apr 2005

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title = "On the best constants in some non-commutative martingale inequalities",

abstract = "The optimal orders are determined for the best constants in the non-commutative Burkholder-Gundy, Doob and Stein inequalities obtained recently in non-commutative martingale theory.",

author = "Marius Junge and Quanhua Xu",

note = "Funding Information: Received 15 July 2003; revised 5 April 2004. 2000 Mathematics Subject Classification 46L53, 46L51. Marius Junge is partially supported by the NSF.",

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On the best constants in some non-commutative martingale inequalities

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