Convergence speed of weighted Bergman kernels towards extremal functions
by Guokuan Shao  

Vol. 12 No. 2 (2017) P.141~P.152

DOI:	https://doi.org/10.21915/BIMAS.2017203
	10.21915/BIMAS.2017203

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.

KEYWORDS
Bergman kernel, extremal function, positive line bundle, holomor- phic section.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 32A36, 32L10, 32Q15, 32U15.

MILESTONES

Received: 2017-05-03
Revised :
Accepted:

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