Preliminaries -- Poisson versus Berezin with Generalizations -- Isomorphism, Decomposition and Discreteness -- Invariant Preduality through Hausdorff Capacity -- Cauchy Pairing with Expressions and Extremities -- As Symbols of Hankel and Volterra Operators -- Estimates for Growth and Decay -- Holomorphic Q-Classes on Hyperbolic Riemann Surfaces.