  The goal of this paper is twofold. In the first part we will study L\'{e}vy
white noise in different distributional spaces and solve equations of the type
$p(D)s=q(D)\dot{L}$, where $p$ and $q$ are polynomials. Furthermore, we will
study measurability of $s$ in Besov spaces. By using this result we will prove
that stochastic partial differential equations of the form \begin{align*}
p(D)u=g(\cdot,u)+\dot{L} \end{align*} have measurable solutions in weighted
Besov spaces, where $p(D)$ is a partial differential operator in a certain
class, $g:\mathbb{R}^d\times \mathbb{C}\to \mathbb{R}$ satisfies some Lipschitz
condition and $\dot{L}$ is a L\'{e}vy white noise.
