On a theorem of Lindelöf
Vladimir Gutlyanskii ; Olli Martio ; Vladimir Ryazanov
Annales UMCS, Mathematica, Tome 65 (2011), p. 45-51 / Harvested from The Polish Digital Mathematics Library
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We give a quasiconformal version of the proof for the classical Lindelöf theorem: Let f map the unit disk D conformally onto the inner domain of a Jordan curve C. Then C is smooth if and only if arh f'(z) has a continuous extension to D. Our proof does not use the Poisson integral representation of harmonic functions in the unit disk.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:267886 
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Vladimir Gutlyanskii; Olli Martio; Vladimir Ryazanov. On a theorem of Lindelöf. Annales UMCS, Mathematica, Tome 65 (2011) pp. 45-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10062-011-0012-7/

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