Title of article
Quasiconformality of harmonic extensions
Author/Authors
Partyka، نويسنده , , Dariusz and Sakan، نويسنده , , Ken-Ichi، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1999
Pages
12
From page
425
To page
436
Abstract
Continued from Partyka and Sakan (Bull. Soc. Sci. Letters Lódź 47 (1997) 51–63) this paper aims at giving necessary and sufficient 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 Martioʹs result is obtained.
Keywords
Harmonic mapping in the plane , Poisson integral , Quasiconformal mapping in the plane
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1999
Journal title
Journal of Computational and Applied Mathematics
Record number
1549977
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