Abstract.
Upper and lower estimates for the Bergman kernel and the Bergman metric in dimension one are given in terms of the logarithmic capacity; some of their applications are added.
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The second named author started the work on the paper while he was a guest at the Max Planck Institut für Mathematik in Bonn, Germany.
The research was partially supported by the KBN grant No. 5 P03A 033 21 and by the Niedersächsisches Ministerium für Wissenschaften und Kunst, AZ. 15.3-50 113(55) PL.