QUASICONFORMAL HARMONIC MAPPINGS BETWEEN DOMAINS CONTAINING INFINITY
2020 ◽
Vol 102
(1)
◽
pp. 109-117
Keyword(s):
Assume that $\unicode[STIX]{x1D6FA}$ and $D$ are two domains with compact smooth boundaries in the extended complex plane $\overline{\mathbf{C}}$. We prove that every quasiconformal mapping between $\unicode[STIX]{x1D6FA}$ and $D$ mapping $\infty$ onto itself is bi-Lipschitz continuous with respect to both the Euclidean and Riemannian metrics.
1969 ◽
Vol 35
◽
pp. 151-157
◽
Keyword(s):
1979 ◽
Vol 20
(1)
◽
pp. 69-80
◽
2004 ◽
Vol 176
◽
pp. 181-195
◽
Keyword(s):
1984 ◽
Vol 7
(1)
◽
pp. 187-195
◽
Keyword(s):
1969 ◽
Vol 21
◽
pp. 1388-1403
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