Moduli of quadrilaterals and extremal quasiconformal extensions of quasisymmetric functions | Zendy

Senlin Wu | Zendy

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Moduli of quadrilaterals and extremal quasiconformal extensions of quasisymmetric functions

Author(s) -

Senlin Wu

Publication year - 1997

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.1007/s000140050036

Subject(s) - mathematics , quadrilateral , unit circle , moduli space , pure mathematics , boundary (topology) , space (punctuation) , combinatorics , mathematical analysis , linguistics , philosophy , physics , finite element method , thermodynamics

We establish a relationship between Strebel boundary dilatation of a quasisymmetric function of the unit circle and indicated by the change in the module of the quadrilaterals with vertices on the circle. By using general theory of universal Teichmüller space, we show that there are many quasisymmetric functions of the circle have the property that the smallest dilatation for a quasiconformal extension of a quasisymmetric function of the unit circle is larger than indicated by the change in the module of quadrilaterals with vertices on the circle.

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