论文标题
一个和更高维度的toeplitz决定因素
Toeplitz Determinants in One and Higher Dimensions
论文作者
论文摘要
在这项研究中，我们得出了某些toeplitz决定因素的尖锐界限，其条目是属于单位磁盘$ \ mathbb {u} $的类别的全态函数系数。此外，这些结果将扩展到复杂的Banach空间中的单位球上的一类全体形函数，并在$ \ mathbb {C}^n $中的单位polydisc上。获得的结果提供了Toeplitz决定因素的界限，用于在较高维度中的归一化函数的各种子类。
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.
