Hankel and Toeplitz operators on the Fock space (Q1191892)

The Fock space \({\mathcal F}\), also called the Segal-Bargmann space, is the set of holomorphic functions which are in \(L^ 2(\mathbb{C}^ n,\mu)\), where \(\mu\) is the Gaussian measure on \(\mathbb{C}^ n\). The author characterizes compact Hankel (Toeplitz) operators on \({\mathcal F}\). This characterization is analogous to his characterization of the compact Hankel operators on the Bergman spaces of the unit disk, the unit ball and polydisk in \(\mathbb{C}^ n\).