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arXiv · 1706.01018

Estimations of the Bergman kernel of the punctured disk

Jingzhou Sun
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Abstract

Using the techniques developed in \cite{SunSun}, we give estimations of the Bergman kernel of the punctured disk with the standard complete Poincar\'{e} metric. As an application, we improve the result of \cite{AMM} on the Bergman kernels of punctured Riemann surfaces near singularities.

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Jingzhou Sun. 2017-06-04. Estimations of the Bergman kernel of the punctured disk. https://arxiv.org/abs/1706.01018

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