  We establish sharp affine weighted $L^p$ Sobolev type inequalities by using
the $L_p$ Busemann-Petty centroid inequality proved by Lutwak, Yang and Zhang.
Our approach consists in combining in a convenient way the latter one with a
suitable family of sharp weighted $L^p$ Sobolev type inequalities obtained by
Nguyen and allows to characterize all extremizers in some cases. The new
inequalities don't rely on any euclidean geometric structure.
