English

On the best constants in some non-commutative martingale inequalities

Operator Algebras 2007-05-23 v1 Functional Analysis Probability

Abstract

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

Keywords

Cite

@article{arxiv.math/0505309,
  title  = {On the best constants in some non-commutative martingale inequalities},
  author = {Marius Junge and Quanhua Xu},
  journal= {arXiv preprint arXiv:math/0505309},
  year   = {2007}
}