Quadrilaterals and extremal quasiconformal extensions

J. M. Anderson; A. Hinkkanen

doi:10.1007/BF02566018

Quadrilaterals and extremal quasiconformal extensions

J. M. Anderson, A. Hinkkanen

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the smallest maximal dilatation for a quasiconformal extension of a quasisymmetric function of the unit circle may be larger than indicated by the change in the module of the quadrilaterals with vertices on the circle.

Original language	English (US)
Pages (from-to)	455-474
Number of pages	20
Journal	Commentarii Mathematici Helvetici
Volume	70
Issue number	1
DOIs	https://doi.org/10.1007/BF02566018
State	Published - Dec 1995

ASJC Scopus subject areas

General Mathematics

Online availability

10.1007/BF02566018

Library availability

Discover UIUC Full Text

Cite this

@article{b50dc29111754a92acbaaeb45dd6f79c,

title = "Quadrilaterals and extremal quasiconformal extensions",

abstract = "We show that the smallest maximal dilatation for a quasiconformal extension of a quasisymmetric function of the unit circle may be larger than indicated by the change in the module of the quadrilaterals with vertices on the circle.",

author = "Anderson, {J. M.} and A. Hinkkanen",

year = "1995",

month = dec,

doi = "10.1007/BF02566018",

language = "English (US)",

volume = "70",

pages = "455--474",

journal = "Commentarii Mathematici Helvetici",

issn = "0010-2571",

publisher = "European Mathematical Society Publishing House",

number = "1",

}

TY - JOUR

T1 - Quadrilaterals and extremal quasiconformal extensions

AU - Anderson, J. M.

AU - Hinkkanen, A.

PY - 1995/12

Y1 - 1995/12

N2 - We show that the smallest maximal dilatation for a quasiconformal extension of a quasisymmetric function of the unit circle may be larger than indicated by the change in the module of the quadrilaterals with vertices on the circle.

AB - We show that the smallest maximal dilatation for a quasiconformal extension of a quasisymmetric function of the unit circle may be larger than indicated by the change in the module of the quadrilaterals with vertices on the circle.

UR - http://www.scopus.com/inward/record.url?scp=51249168752&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=51249168752&partnerID=8YFLogxK

U2 - 10.1007/BF02566018

DO - 10.1007/BF02566018

M3 - Article

AN - SCOPUS:51249168752

SN - 0010-2571

VL - 70

SP - 455

EP - 474

JO - Commentarii Mathematici Helvetici

JF - Commentarii Mathematici Helvetici

IS - 1

ER -

Quadrilaterals and extremal quasiconformal extensions

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this