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arXiv · 2509.03532

The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces

Sabir Ahammed·Molla Basir Ahamed·Rajesh Hossain
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Abstract

In this paper, we study the Bohr inequality with lacunary series for vector-valued holomorphic functions defined in unit ball of finite dimensional Banach sequence space. Also, we study the Bohr-Rogosinski inequality for same class of functions. All the results are proved to be sharp.

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Sabir Ahammed, Molla Basir Ahamed, Rajesh Hossain. 2025-08-26. The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces. https://arxiv.org/abs/2509.03532

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