Moduli of Families of Curves for Conformal and Quasiconformal Mappings

The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmüller spaces. The main part of the monograph deals with extremal problems for compact cl...

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Autori principali: Vasil½ev, Aleksandr, 1962-2016, Vasil½ev, Alexander (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 1788
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Edition sous un autre format:• Moduli of families of curves for conformal and quasiconformal mappings, Alexander Vasil½ev, 2002, Berlin, Springer, 1 vol. (IX-211 p.), Lecture notes in mathematics, 3-540-43846-7
• Moduli of Families of Curves for Conformal and Quasiconformal Mappings, Texte imprimé, 9783662182703
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Riassunto:The monograph is concerned with the modulus of families of curves on Riemann surfaces and its applications to extremal problems for conformal, quasiconformal mappings, and the extension of the modulus onto Teichmüller spaces. The main part of the monograph deals with extremal problems for compact classes of univalent conformal and quasiconformal mappings. Many of them are grouped around two-point distortion theorems. Montel's functions and functions with fixed angular derivatives are also considered. The last portion of problems is directed to the extension of the modulus varying the complex structure of the underlying Riemann surface that sheds some new light on the metric problems of Teichmüller spaces.
Descrizione del documento:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540454373 (PDF)
ISSN:1617-9692
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