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On the best constants in some non-commutative martingale inequalities

Marius Junge·Quanhua Xu
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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.

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Marius Junge, Quanhua Xu. 2005-05-14. On the best constants in some non-commutative martingale inequalities. https://arxiv.org/abs/math/0505309

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