@article{2117, abstract = {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.}, author = {Dirksen, Sjoerd and Jan Maas and van Neerven, Jan M}, journal = {Electronic Journal of Probability}, publisher = {Institute of Mathematical Statistics}, title = {{Poisson stochastic integration in Banach spaces}}, doi = {10.1214/EJP.v18-2945 }, volume = {18}, year = {2013}, }