A GLUING THEOREM FOR QUASICONFORMAL MAPPINGS

作者:Jiang Yunping*; Qi Yi
来源:Kodai Mathematical Journal, 2012, 35(3): 415-424.
DOI:10.2996/kmj/1352985446

摘要

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 + epsilon)-quasiconformal homeomorphism, where epsilon 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.