Moduli of Families of Curves for Conformal and Quasiconformal Mappings O.P Universität Wien (Institut für Geschichte)

Universität Wien (Institut für Geschichte)

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Moduli of Families of Curves for Conformal and Quasiconformal Mappings O.P Universität Wien (Institut für Geschichte)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 Teichmller 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