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arXiv · 2509.14655

New norm estimate for composition operators

Preeti Kumari·P. Muthukumar·Jaydeb Sarkar
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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.

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Preeti Kumari, P. Muthukumar, Jaydeb Sarkar. 2025-09-18. New norm estimate for composition operators. https://arxiv.org/abs/2509.14655

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