Bohr phenomenon for certain integral operators and transforms in complex Banach spaces

Abstract

In this paper, we investigate several Bohr radii associated with the Cesáro operator, Bernardi integral operator, ${\hat{I}}^2$-Cesáro operator, and discrete Fourier transform, all defined on a set of holomorphic mappings from the unit ball of a complex Banach space into the closure of the unit polydisc ${\mathbb{D}}^n$ within the space ${\mathbb{C}}^n$.

17 pages with 1 figure