We compute the essential norm of a weighted composition operator uCϕ acting from an analytic Lipschitz space into a weighted Bloch-type space on the disk, and give estimates for the essential norm of uCϕ when it maps the standard Bloch space into a weighted Bloch-type space. We also study boundedness and compactness of weighted composition operators on analytic Lipschitz spaces from a geometric perspective.
MacCluer, Barbara D. and Zhao, Ruhan, "Essential Norms of Weighted Composition Operators Between Bloch Type Spaces" (2003). Mathematics Faculty Publications. 2.
MacCluer, B and R. Zhao: Essential norms of composition operators between Bloch type spaces, Rocky Mountain J. Math., 33(2003), 1437-1458.