The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space
Complex Variables
2024-04-30 v1
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.
Cite
@article{arxiv.2404.18623,
title = {The Bohr-type inequalities for holomorphic functions with lacunary series in complex Banach space},
author = {Shankey Kumar and Saminathan Ponnusamy and G. Brock Williams},
journal= {arXiv preprint arXiv:2404.18623},
year = {2024}
}