  Let {\phi} be an analytic self-map of D and be an analytic operator-valued
function on D, where D is the unit disk. We provide necessary and sufficient
conditions for the boundedness and compactness of weighted composition
operators W_{\psi,\phi} on Lip_A(D;X;\alpha) and lip_A(D;X;{\alpha}), the
spaces of analytic X-valued Lipschitz functions f, where X is a complex Banach
space and {\alpha} is in (0, 1].
