  In this study, we derive the sharp bounds of certain Toeplitz determinants
whose entries are the coefficients of holomorphic functions belonging to a
class defined on the unit disk $\mathbb{U}$. Further, these results are
extended to a class of holomorphic functions on the unit ball in a complex
Banach space and on the unit polydisc in $\mathbb{C}^n$. The obtained results
provide the bounds of Toeplitz determinants for various subclasses of
normalized univalent functions in higher dimensions.
