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.