Stochastic evolution equations driven by Liouville fractional brownian motion

Stochastic Integration of Operator-Valued Functions with Respect to Banach Space-Valued Brownian Motion

Ito's formula in UMD Banach spaces and regularity of solution of the Zakai equation

Using the theory of stochastic integration for processes with values in a UMD Banach space developed recently by the authors, an Itô formula is proved which is applied to prove the existence of strong solutions for a class of stochastic evolution equations in UMD Banach spaces. The abstract results are applied to prove regularity in space and...

Conditions for stochastic integrability in UMD Banach spaces

Compactness in vector-valued banach function spaces

Stochastic integration in UMD Banach spaces