Scalar and vector Muckenhoupt weights

We inspect the relationship between the A(p,q) condition for families of norms on vector valued functions and the A(p) condition for scalar weights. In particular, we will show if we are considering a norm-valued function rho(.) such that, uniformly in all nonzero vectors x, rho(.)(X)(p) is an element of A(p) and rho((.))* (X)(q) A(q), then the following hold: If p = q = 2, and functions take values in R-2, then rho is an element of A(2,2). If p = q = 2 and functions take values in R-n, n >= 6, rho need not be an A(2,2) weight. If rho satisfies the relatively weak A(0,0) condition in addition to the scalar conditions mentioned above, then rho is an element of A(p,q).