English

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

Complex Variables 2026-03-18 v1

Abstract

In this paper, we investigate several Bohr radii associated with the Ces\'aro operator, Bernardi integral operator, β\beta-Ces\'aro 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 Dn\mathbb{D}^n within the space Cn\mathbb{C}^n.

Keywords

Cite

@article{arxiv.2603.16369,
  title  = {Bohr phenomenon for certain integral operators and transforms in complex Banach spaces},
  author = {Vasudevarao Allu and Raju Biswas and Rajib Mandal and Hiroshi Yanagihara},
  journal= {arXiv preprint arXiv:2603.16369},
  year   = {2026}
}

Comments

17 pages with 1 figure

R2 v1 2026-07-01T11:23:58.248Z