\(M\)-Besov \(p\)-classes and Hankel operators in the Bergman space of the unit ball (Q1312360)

The class \(M\), which contains eigenfunctions of the invariant Laplacian, derivatives of \({\mathcal M}\)-harmonic functions, etc., is defined and Besov \(p\)-classes of \(M\)-functions are studied. It is shown that many of the characterizations of Besov \(p\)-classes of \({\mathcal M}\)-harmonic functions also characterize Besov classes of \(M\)-functions. As consequences various equivalent conditions for the Hankel operators \(H_ f\) and \(H_{\overline f}\) with symbol \(f\) in \(M\) to be bounded, compact or in the Schatten-von-Neumann class \(S_ p\) are obtained.