On the behavior of quasiconformal mappings at a point

On the behavior of quasiconformal mappings at a point
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关于拟共形映射在一点的行为

DOI:
10.1090/s0002-9947-1965-0176070-9
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发表时间:
1965
影响因子:
1.3
通讯作者:
H. Walczak
H. Walczak
中科院分区:
数学1区
文献类型:
--
作者:
E. Reich;H. Walczak

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1.导论. z平面上的定义域G到w平面上的定义域w(G)的保感同胚w(z)称为拟共形(更准确地说,K-拟共形),如果存在常数K> 1,使得对于每个四边形Q,Q c G,Q的模M(Q)和像四边形w(Q)的模M(w(Q))满足
1. Introduction. A sense-preserving homeomorphism w (z) of the domain G in the z-plane onto the domain w (G) of the w-plane is called quasiconformal (more precisely, K-quasiconformal) if there exists a constant K> 1 such that for every quadrilateral Q, Q c G, the modulus M (Q) of Q, and the modulus M (w (Q)) of the image quadrilateral w (Q), satisfy