Items for "Stochastic integration"

A note on the Itô formula of stochastic integrals in Banach spaces

Let E and Z be separable Banach spaces, E be of M type p, 1 ≤ p ≤ 2, and X = {X(t), 0 ≤ t ≤ T} be an E–valued stochastic process given by

where is progressive measurable process and is a càglàd process defined later, is a compensated Poisson random measure with characteristic Lévy–measure such that

We verify the Itô formula for X under certain conditions in M type p Banach spaces.

Keywords: Stochastic integration, It, formula, Poisson random measures