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2017 / June Volume 12 No.2
Convergence speed of weighted Bergman kernels towards extremal functions
Published Date
2017 / June
Title
Convergence speed of weighted Bergman kernels towards extremal functions
Author
Guokuan Shao
Keyword
Bergman kernel, extremal function, positive line bundle, holomor- phic section., Bergman kernel, extremal function, positive line bundle, holomor- phic section.
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Pagination
141-152
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.
DOI
10.21915/BIMAS.2017203
https://doi.org/10.21915/BIMAS.2017203
AMS Subject
Classification
32A36, 32L10, 32Q15, 32U15.
Received
2017-05-03
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