Cohomological splitting conditions of vector bundles on ${\mathbb{P}}^{n_1}\times \cdots \times {\mathbb{P}}^{n_s}$

In this paper we extend the results of Ballico and Malaspina on regularity and splitting conditions on multiprojective spaces ${\mathbb{P}}^{n_1}\times \cdots \times {\mathbb{P}}^{n_s}$.