TY - JOUR AB - We prove new upper and lower bounds for Banach space-valued stochastic integrals with respect to a compensated Poisson random measure. Our estimates apply to Banach spaces with non-trivial martingale (co)type and extend various results in the literature. We also develop a Malliavin framework to interpret Poisson stochastic integrals as vector-valued Skorohod integrals, and prove a Clark-Ocone representation formula. AU - Dirksen, Sjoerd AU - Jan Maas AU - van Neerven, Jan M ID - 2117 JF - Electronic Journal of Probability TI - Poisson stochastic integration in Banach spaces VL - 18 ER -