Journal of Mathematical Sciences

, Volume 70, Issue 6, pp 2140–2146 | Cite as

Moduli of doubly connected domains and conformally invariant metrics

  • A. Yu. Solynin
Article

Abstract

It is proved that some conformal invariants associated with Teichmuller's problem on the maximum conformal modulus in a family of doubly connected domains separating two points define a metric on the perforated z-sphere. A problem posed by M. Vuorinen is solved.

Keywords

Conformal Invariant Invariant Metrics Conformal Modulus 

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References

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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • A. Yu. Solynin

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