Toeplitz Determinants in One and Higher Dimensions
Complex Variables
2022-10-25 v1
Abstract
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 . 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 . The obtained results provide the bounds of Toeplitz determinants for various subclasses of normalized univalent functions in higher dimensions.
Cite
@article{arxiv.2210.13158,
title = {Toeplitz Determinants in One and Higher Dimensions},
author = {Surya Giri and S. Sivaprasad Kumar},
journal= {arXiv preprint arXiv:2210.13158},
year = {2022}
}