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arxiv: 2603.16170 · v8 · submitted 2026-03-17 · 🧮 math.FA

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On the norms of the multiplication operators between weighted Bergman spaces

Jianjun Jin

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classification 🧮 math.FA
keywords bergmanmultiplicationnormsoperatorsspacesweightedestimatenorm
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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 new 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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  1. Sharp multiplier estimates for the higher-order Schwarzian derivatives of the Koebe function

    math.CV 2026-04 unverdicted novelty 4.0

    Sharp multiplier estimates are established for the higher-order Schwarzian derivatives of the Koebe function in weighted Bergman spaces.