The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces
Complex Variables
2025-09-05 v1
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.
Keywords
Cite
@article{arxiv.2509.03532,
title = {The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces},
author = {Sabir Ahammed and Molla Basir Ahamed and Rajesh Hossain},
journal= {arXiv preprint arXiv:2509.03532},
year = {2025}
}
Comments
19 pages