Vol. 117, No. 2, 1985

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The generalized Schwarz lemma for the Bergman metric

Masaaki Suzuki

Vol. 117 (1985), No. 2, 429–442
Abstract

The function-theoretic criterion for the Bergman metric to be dominated by the Kobayashi metric on the domain in Cn is given. For this, we use the distinguished family of plurisubharmonic functions and P-metric of N. Sibony.

Mathematical Subject Classification
Primary: 32H15
Secondary: 32H10
Milestones
Received: 18 July 1983
Published: 1 April 1985
Authors
Masaaki Suzuki