Journal of Mathematical Sciences

, Volume 143, Issue 3, pp 3077–3089 | Cite as

On quadratic differentials on multiply connected domains that are perfect squares

  • E. G. Emel’yanov
Article
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Abstract

The paper considers the problem on extremal decomposition of a multiply connected domain G ⊂ ℂ in the case where the associated quadratic differential is a perfect square. It is shown that in the case considered, the value of the functional for this extremal decomposition is the least one in a certain class of decompositions. Bibliography: 10 titles.

Keywords

Boundary Component Connected Domain Quadratic Differential Conformal Module Harmonic Measure 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • E. G. Emel’yanov
    • 1
  1. 1.St.Petersburg University of Economics and FinancesSt.PetersburgRussia

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