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arXiv · 1705.07656

Convergence speed of weighted Bergman kernels towards extremal functions

Guokuan Shao
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Abstract

We construct inner products by the Bernstein-Markov inequality on spaces of holomorphic sections of high powers of a line bundle. The corresponding weighted Bergman kernel functions converge to an extremal function. We obtain a uniform convergence speed.

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Guokuan Shao. 2017-05-22. Convergence speed of weighted Bergman kernels towards extremal functions. https://arxiv.org/abs/1705.07656

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