\(\mathcal M\)-harmonic Besov \(p\)-spaces and Hankel operators in the Bergman space on the ball in \(\mathbb{C}^ n\) (Q1174705)

The authors establish a reproducing formula for \({\mathcal M}\)-harmonic functions in \(h^ p (B)\), the space of all \({\mathcal M}\)-harmonic functions \(f\) on the unit ball \(B = B^ n \subseteq \mathbb{C}^ n\) that satisfy a growth condition. Extending the definition of Besov \(p\)-spaces to \({\mathcal M}\)-harmonic functions on \(B\), they obtain several characterizations of \({\mathcal M} B_ p (B)\). Various equivalent conditions are also obtained for the Hankel operators \(H_ f\) and \(H_{\overline f}\) to be bounded, compact or to lie in the Schatten-von-Neumann class. Some corrections are given in the Erratum (Zbl 0816.31005) stated below.