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On the best constants in some non-commutative martingale inequalities

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arxiv math/0505309 v1 pith:LCCLJSEU submitted 2005-05-14 math.OA math.FAmath.PR

On the best constants in some non-commutative martingale inequalities

classification math.OA math.FAmath.PR
keywords non-commutativebestconstantsinequalitiesmartingaleburkholder-gundydeterminedoob
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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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