Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
A gluing theorem for quasiconformal mappings
Yunping JiangYi Qi
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2012 年 35 巻 3 号 p. 415-424

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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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© 2012 Department of Mathematics, Tokyo Institute of Technology
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