Hankel Forms and Embedding Theorems in Weighted Dirichlet Spaces
We show that for a fixed operator-valued analytic function $g$ the boundedness of the bilinear (Hankel-type) form $(f,h)\to\int_\D\trace{g'^*fh'}(1-|z|^2)^\alpha \, \ud A$, defined on appropriate cartesian products of dual weighted Dirichlet spaces of Schatten class-valued functions, is equivalent to corresponding Carleson embedding estimates.