Special Toeplitz operators on a class of bounded Hartogs domains (Q2182687)

The authors introduce a wide (but special in a sense) class of bounded Hartogs domains in \(\mathbb{C}^n\), that contains some generalizations of the classical Hartogs triangle. The main result of the paper gives a sharp criterion for the \(L^p - L^q\) boundedness of the Toeplitz operator with symbol \(K^{-t}\), where \(K\) is the Bergman kernel on the diagonal and \(t \geq 0\).