  We consider linear elliptic and parabolic equations with measurable
coefficients and prove two types of $L_{p}$-estimates for their solutions,
which were recently used in the theory of fully nonlinear elliptic and
parabolic second order equations in \cite{DKL}. The first type is an estimate
of the $\gamma$th norm of the second-order derivatives, where $\gamma\in(0,1)$,
and the second type deals with estimates of the resolvent operators in $L_{p}$
when the first-order coefficients are summable to an appropriate power.
