paper

New norm estimate for composition operators

arXiv:2509.14655

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.

19 pages, 2 figures

New norm estimate for composition operators · wovepaper