Keywords
- Conformal Mapping
- Unbounded Domain
- Quasiconformal Mapping
- Plane Domain
- Positive Harmonic Function
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References
Becker, J. and Ch. Pommerenke, Hölder continuity of conformal mappings and non-quasiconformal Jordan curves, Comment. Math. Helv. 57 (1982), 221–225.
Gehring, F. W., Characteristic properties of quasidisks, Les Presses de l'Université de Montréal, Montreal, 1982.
Gehring, F. W. and O. Martio, Lipschitz classes and quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 203–219.
Herron, D. A., The Harnack and other conformally invariant metrics, Kodai Math. J. 10 (1987), 9–19.
Herron, D. A. and M. Vuorinen, Positive harmonic functions in uniform and admissible domains, to appear in Analysis.
Köhn, J., Die Harnacksche Metrik in der Theorie der harmonischen Funktionen, Math. Z. 91 (1966), 50–64.
Leutwiler, H., On a distance invariant under Möbius transformations in ℝn, Ann. Acad. Sci. Fenn. Ser. A I Math. 12 (1987), 3–17.
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© 1988 Springer-Verlag
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Herron, D.A. (1988). Metric boundary conditions for plane domains. In: Laine, I., Sorvali, T., Rickman, S. (eds) Complex Analysis Joensuu 1987. Lecture Notes in Mathematics, vol 1351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081253
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DOI: https://doi.org/10.1007/BFb0081253
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50370-5
Online ISBN: 978-3-540-45992-7
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