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The growth of the bergman kernel on pseudoconvex domains of homogeneous finite diagonal type

Published online by Cambridge University Press:  22 January 2016

Gregor Herbort
Gregor Herbort*
Affiliation:
Fachbereich Mathematik, Bergische Universität-Gesamthochschule Wuppertal Gauϐstraϐe 20, D-56 Wuppertal 1
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In this article we continue the investigations on invariant metrics on a certain class of weakly pseudoconvex domains which we began in [H 1]. While in that paper the differential metrics of Caratheodory and Kobayashi were estimated precisely, the present paper contains a sharp estimate of the singularity of the Bergman kernel and metric on domains belonging to that class.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 126 , June 1992 , pp. 1 - 24
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1992

References

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