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.
Citation
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
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