  We prove weighted mixed $L_{p}(L_{q})$-estimates, with $p,q\in(1,\infty)$,
for higher-order elliptic and parabolic equations on the half space
$\mathbb{R}^{d+1}_{+}$ and on domains with general boundary conditions which
satisfy the Lopatinskii--Shapiro condition. We assume that the elliptic
operators $A$ have leading coefficients which are in the class of vanishing
mean oscillations both in the time and the space variables, and that the
boundary conditions have variable leading coefficients. The proofs are based on
and generalize the estimates recently obtained by the authors in [DG17].
  [DG17] H.Dong and C.Gallarati. Higher order elliptic and parabolic equations
with VMO assumptions and general boundary conditions. Accepted for publication
in Journal of Functional Analysis. See: arXiv:1702.03254.
