We prove the finiteness of certain exponential moments of Banach space valued random series and triangular arrays. We also prove integrability results for Poisson measures on Banach spaces.
"Exponential Moments of Vector Valued Random Series and Triangular Arrays." Ann. Probab. 8 (2) 381 - 389, April, 1980. https://doi.org/10.1214/aop/1176994786