Bohr type inequality for certain integral operators and Fourier transform on shifted disks
Complex Variables
2026-04-14 v1
Abstract
In this paper, we derive the sharp Bohr type inequality for the Ces\'aro operator, Bernardi integral operator, and discrete Fourier transform acting on the class of bounded analytic functions defined on shifted disks \beas \Omega_{\gamma}=\left\{z\in\mathbb{C}:\left|z+\frac{\gamma}{1-\gamma}\right|<\frac{1}{1-\gamma}\right\}\quad\text{for}\quad\gamma\in[0,1).\eeas
Cite
@article{arxiv.2411.01674,
title = {Bohr type inequality for certain integral operators and Fourier transform on shifted disks},
author = {Vasudevarao Allu and Raju Biswas and Rajib Mandal},
journal= {arXiv preprint arXiv:2411.01674},
year = {2026}
}