Lindelöf theorem for harmonic mappings
2016 Volume 68 Issue 2 Pages 653-667
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2016 Volume 68 Issue 2 Pages 653-667
We extend the classical Lindelöf theorem for harmonic mappings. Assume that f is an univalent harmonic mapping of the unit disk U onto a Jordan domain with C1 boundary. Then the function arg(∂ϕ(f(z))/z), where z = reiϕ, has continuous extension to the boundary of the unit disk, under certain condition on f|T.
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Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
Tokyo Sugaku-Butsurigakkwai Hokoku
Tokyo Sugaku-Butsurigaku Kwai Kiji
