The Vuorinen problem on the maximum of the conformal module

The Vuorinen problem on the maximum of the conformal module

A problem on the maximum of the conformal module in a family of doubly connected domains in the unit disk, which is a hyperbolic analog of the Teichmüller problem, is solved. The cases where the maximum in question is expressed in terms of elliptic functions are established. Bibliography: 6 titles.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2013-08, Vol.193 (1), p.66-74
Hauptverfasser: Emel’yanov, E. G., Kuz’mina, G. V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:A problem on the maximum of the conformal module in a family of doubly connected domains in the unit disk, which is a hyperbolic analog of the Teichmüller problem, is solved. The cases where the maximum in question is expressed in terms of elliptic functions are established. Bibliography: 6 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-013-1434-2