Estimates for the Bergman kernel and metric of convex domains in ℂⁿ

• Autorzy: Nikolai Nikolov , Peter Pflug
• Języki publikacji: EN

Abstrakty

EN

Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain D ⊂ ℂⁿ which does not contain complex lines. It is also proved that the ratio of the Bergman and Carathéodory metrics of D does not exceed a constant depending only on n.

Kategorie tematyczne

• 32A25: Integral representations; canonical kernels (Szeg\H o, Bergman, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 81
• Numer: 1
• Strony: 73-78

Daty

wydano

2003

Twórcy

autor

Nikolai Nikolov

• Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria

autor

Peter Pflug

• Fachbereich Mathematik, Carl von Ossietzky Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany

Identyfikatory

DOI

10.4064/ap81-1-6