The generalized Schwarz lemma for the Bergman metric
The generalized Schwarz lemma for the Bergman metric
The function-theoretic criterion for the Bergman metric to be dominated by the Kobayashi metric on the domain in C" is given.For this, we use the distinguished family of plurisubharmonic functions and P-metric of N. Sibony. Introduction.Let D be a hyperbolic domain in C n (cf.Kobayashi [7]).On D we can define …