On the best constants in some non-commutative martingale inequalities

Details On the best constants in some non-commutative martingale inequalities On the best constants in some non-commutative martingale inequalities

2005-05-14

arxiv.org/abs/math/0505309v1

Bull. London Math. Soc. 37:243--253, 2005

Mathematics

Operator Algebras

Scientific paper

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.

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