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A logarithmic lower bound for the second Bohr radius

Part of: Holomorphic functions of several complex variables

Published online by Cambridge University Press:  27 June 2023

Nilanjan Das
Nilanjan Das*
Affiliation:
Theoretical Statistics and Mathematics Unit, Indian Statistical Institute Kolkata, Kolkata 700108, India
*
e-mail: nilanjand7@gmail.com
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Abstract

The purpose of this note is to obtain an improved lower bound for the multidimensional Bohr radius introduced by L. Aizenberg (2000, Proceedings of the American Mathematical Society 128, 1147–1155), by means of a rather simple argument.

Keywords

Bohr’s theoremholomorphic functionsMinkowski spaces

MSC classification

Primary: 32A05: Power series, series of functions 32A10: Holomorphic functions
Type
Article
Information
Canadian Mathematical Bulletin , Volume 67 , Issue 1 , March 2024 , pp. 90 - 93
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of The Canadian Mathematical Society

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Footnotes

The author of this article is supported by a Research Associateship provided by the Stat-Math Unit of ISI Kolkata.

References

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