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arXiv · 2609.04833

Norm of the generalized Hilbert operator on weighted Bergman spaces

Dongxing Li·Songxiao Li·Weiye Pan·Hasi Wulan·Mengmeng Zhou
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Abstract

Several upper bounds as well as one lower bound for the operator norm of the generalized Hilbert operator $\mathcal{H}_b$ acting on weighted Bergman spaces $A_{\alpha}^p$ are established. Moreover, under some mild assumptions, we obtain the exact norm of $\mathcal{H}_b$ on $ A_{\alpha}^p$.

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Dongxing Li, Songxiao Li, Weiye Pan, Hasi Wulan, Mengmeng Zhou. 2026-09-04. Norm of the generalized Hilbert operator on weighted Bergman spaces. https://arxiv.org/abs/2609.04833

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