Toeplitz determinants on bounded starlike circular domain in ${\mathbb{C}}^n$

In this paper, we derive the sharp bounds of Toeplitz determinants for a class of holomorphic mappings on the bounded starlike circular domain $\mathrm{\Omega }$ in ${\mathbb{C}}^n$, which extend certain known bounds for various subclasses of normalized analytic univalent functions in the unit disk to higher dimensions.