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October 2012 A gluing theorem for quasiconformal mappings
Yunping Jiang, Yi Qi
Kodai Math. J. 35(3): 415-424 (October 2012). DOI: 10.2996/kmj/1352985446

Abstract

We prove, by using the main inequality of Reich and Strebel, that any n K-quasiconformal germs defined on n disjoint domains in the Riemann sphere can be glued by one (K + ε)-quasiconformal homeomorphism, where ε is a positive number which can go to zero as the domains of germs shrinking to n points. This generalizes a result in [8] where only the case K = 1 has been considered.

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Yunping Jiang. Yi Qi. "A gluing theorem for quasiconformal mappings." Kodai Math. J. 35 (3) 415 - 424, October 2012. https://doi.org/10.2996/kmj/1352985446

Information

Published: October 2012
First available in Project Euclid: 15 November 2012

zbMATH: 1333.37048
MathSciNet: MR2997472
Digital Object Identifier: 10.2996/kmj/1352985446

Rights: Copyright © 2012 Tokyo Institute of Technology, Department of Mathematics

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Vol.35 • No. 3 • October 2012
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