The commutants of analytic Toeplitz operators for several complex variables (Q625781)

In this paper, the authors prove that if \(\varphi\) is a nonconstant bounded analytic function on the unit ball \(B_n\) and continuous on \(S_n\) in \(\mathbb{C}^n\), and \(\psi\) is a bounded measurable function on \(S_n\) such that \(T_{\varphi^\ast}\) and \(T_{\psi}\) commute, then \(\psi\) is the boundary value of an analytic function on \(B_n\). In addition, the commutants of two Toeplitz operators are also discussed.