  For the Euler scheme of the stochastic linear evolution equations, discrete
stochastic maximal $ L^p $-regularity estimate is established, and a sharp
error estimate in the norm $ \|\cdot\|_{L^p((0,T)\times\Omega;L^q(\mathcal O))}
$, $ p,q \in [2,\infty) $, is derived via a duality argument.
