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New norm estimate for composition operators

2025/09/18 by Kumari, Preeti, Muthukumar, P., Sarkar, Jaydeb
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/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.

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