The Bohr inequality for vector-valued holomorphic functions with lacunary series in complex Banach spaces
Sabir Ahammed, Molla Basir Ahamed, Rajesh Hossain
Published: 2025/8/26
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.