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Randomized UMD Banach spaces and decoupling inequalities for stochastic integrals
Authors:Mark C. Veraar
Affiliation:Delft Institute of Applied Mathematics, Technical University of Delft, P.O. Box 5031, 2600 GA Delft, The Netherlands
Abstract:In this paper we prove the equivalence of decoupling inequalities for stochastic integrals and one-sided randomized versions of the UMD property of a Banach space as introduced by Garling.

Keywords:Stochastic integration in Banach spaces   randomized UMD spaces   decoupling inequalities   tangent sequences
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