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arXiv · 2404.18623

The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space

Shankey Kumar·Saminathan Ponnusamy·G. Brock Williams
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Abstract

In this paper, we study the Bohr inequality with lacunary series to the single valued (resp. vector-valued) holomorphic function defined in unit ball of finite dimensional Banach sequence space. Also, we extend the Bohr inequality with an alternating series to the higher-dimensional space.

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Shankey Kumar, Saminathan Ponnusamy, G. Brock Williams. 2024-04-29. The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space. https://arxiv.org/abs/2404.18623

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