Bounded Toeplitz products on the Bergman space of the polydisk.
Let \(L_a^2(D^n)\) be the Bergman space on the polydisk \(D^n\). The authors give a necessary and a sufficient condition for the boundedness on \(L_a^2(D^n)\) of the densely defined product of two Toeplitz operators \(T_f T_{\overline{g}}\), with \(f,g \in L_a^2(D^n)\). Both conditions are given in terms of the Berezin transform of the symbols \(f\) and \(g\).
scientific article; zbMATH DE number 1903476