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arXiv · 2601.13672

The norm of the Hilbert matrix operator on Bergman spaces

Guanlong Bao·Liu Tian·Hasi Wulan
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Abstract

Karapetrovi\'c conjectured that the norm of the Hilbert matrix operator on the Bergman space $A^p_\alpha$ is equal to $\pi/\sin((2+\alpha)\pi/p)$ when $-1<\alpha \frac{1}{47}$ and $\alpha \not=1$.

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Guanlong Bao, Liu Tian, Hasi Wulan. 2026-01-20. The norm of the Hilbert matrix operator on Bergman spaces. https://doi.org/10.4153/s0008439526101751

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