On a theorem of Lindelof
Vladimir Ya. Gutlyanskii ; Olli Martio ; Vladimir Ryazanov
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011), / Harvested from The Polish Digital Mathematics Library
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We give a quasiconformal version of the proof for the classical Lindelof 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 arg 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:289742 
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Vladimir Ya. Gutlyanskii; Olli Martio; Vladimir Ryazanov. On a theorem of Lindelof. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 65 (2011) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2011_65_2_45-51/

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