Estimates for the hyperbolic metric of the punctured plane and applications

A. Yu Solynin, M. Vuorinen

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The hyperbolic metric hΩ of the twice punctured complex plane Ω is studied. A new recursive algorithm for computing the density λΩ of hΩ is given. For a proper subdomain G of Ω we answer a question of G. Martin concerning quasiconformal mappings of G that can be extended to the complement of G as the identity map.

Original languageEnglish
Pages (from-to)29-60
Number of pages32
JournalIsrael Journal of Mathematics
Volume124
DOIs
StatePublished - 2001

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