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Quasiconformality of harmonic extensions

✍ Scribed by Dariusz Partyka; Ken-Ichi Sakan

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 139 KB
Volume: 105
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(99)00009-6

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✦ Synopsis

Continued from Partyka and Sakan (Bull. Soc. Sci. Letters LÃ odÃ z 47 (1997) 51-63) this paper aims at giving necessary and su cient conditions on sense-preserving homeomorphisms of the unit circle for the quasiconformality of their harmonic extensions to the unit disk. In particular, all such homeomorphisms with a bounded derivative are well characterized. In consequence, a generalization of Martio's result is obtained.

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