Convergence speed of weighted Bergman kernels towards extremal functions

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.

11 pages

References in corpus (1)

• Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles