A weighted Lq-approach to Oseen flow around a rotating body

We study time-periodic Oseen flows past a rotating body in R3 proving weighted a priori estimates in Lq-spaces using Muckenhoupt weights. After a time-dependent change of coordinates the problem is reduced to a stationary Oseen equation with the additional terms ((omega) (lambda)x) .(nabla)u and -(omega) u and -(omega)(lambda)u in the equation of momentum where (omega)denotes the angular velocity. Due to the asymmetry of Oseen flow and to describe its wake we use anisotropic Muckenhoupt weights, a weighted theory of Littlewood-Paley decomposition and of maximal operators as well as one-sided univariate weights, one-sided maximal operators and a new version of Jonesʹ factorization theorem.