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 \(\mathbb{U}\). Furthermore, 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 ℂn. The obtained results provide the bounds of Toeplitz determinants in higher dimensions for various subclasses of normalized univalent functions.
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The work of Surya Giri was supported by University Grant Commission, New Delhi, India under UGC-Ref. No. 1112/(CSIR-UGC NET JUNE 2019).
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Giri, S., Kumar, S.S. Toeplitz determinants in one and higher dimensions. Acta Math Sci 44, 1931–1944 (2024). https://doi.org/10.1007/s10473-024-0517-0
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DOI: https://doi.org/10.1007/s10473-024-0517-0