  In this paper, we establish global $W^{2,p}$ estimates for solutions to the
linearized Monge-Amp\`ere equations under natural assumptions on the domain,
Monge-Amp\`ere measures and boundary data. Our estimates are affine invariant
analogues of the global $W^{2,p}$ estimates of Winter for fully nonlinear,
uniformly elliptic equations, and also linearized counterparts of Savin's
global $W^{2,p}$ estimates for the Monge-Amp\`ere equations.
