New norm estimate for composition operators
Functional Analysis
2025-11-19 v2 Complex Variables
Abstract
The classical Littlewood's theorem establishes boundedness and provides a norm estimate for composition operators on the Hardy space. In this paper, we offer an alternative proof of boundedness and derive a new norm estimate that improves upon the classical bound given by Littlewood's theorem.
Cite
@article{arxiv.2509.14655,
title = {New norm estimate for composition operators},
author = {Preeti Kumari and P. Muthukumar and Jaydeb Sarkar},
journal= {arXiv preprint arXiv:2509.14655},
year = {2025}
}
Comments
19 pages, 2 figures