  We consider the stochastic wave equation with multiplicative noise, which is
fractional in time with index $H>1/2$, and has a homogeneous spatial covariance
structure given by the Riesz kernel of order $\alpha$. The solution is
interpreted using the Skorohod integral. We show that the sufficient condition
for the existence of the solution is $\alpha>d-2$, which coincides with the
condition obtained in Dalang (1999), when the noise is white in time. Under
this condition, we obtain estimates for the $p$-th moments of the solution, we
deduce its H\"older continuity, and we show that the solution is Malliavin
differentiable of any order. When $d \leq 2$, we prove that the first-order
Malliavin derivative of the solution satisfies a certain integral equation.
