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arXiv · 2603.16170

On the norms of the multiplication operators between weighted Bergman spaces

Jianjun Jin
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Abstract

In this paper, we study the norms of multiplication operators acting between weighted Bergman spaces. First, we provide a proof for a norm estimate previously announced in our recent paper \cite{Jin-c}. Second, we establish a sharp norm estimate for certain special multiplication operators between weighted Bergman spaces, a result that is novel to the literature. Finally, we also discuss the connections between the Brennan conjecture and related multiplier norms induced by the Schwarzian derivative of univalent functions.

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Jianjun Jin. 2026-03-17. On the norms of the multiplication operators between weighted Bergman spaces. https://arxiv.org/abs/2603.16170

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