Harmonic measure and domains bounded by quasiconformal circles-Reference-Cited by-同舟云学术

Harmonic measure and domains bounded by quasiconformal circles

Published:1973 Issue:2 Volume:41 Page:559-564
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Blevins Donald K.

Abstract

We index the class of quasiconformal circles by k k between zero and one such that k = 0 k = 0 corresponds to arbitrary Jordan curves and k = 1 k = 1 to circles. We establish an estimate depending on k k for harmonic measure in a domain bounded by a quasiconformal circle. Applications of this estimate are made to boundary correspondence under conformal maps, Hardy class of certain functions and a Phragmén-Lindelöf theorem.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-041-02/S0002-9939-1973-0325960-2/S0002-9939-1973-0325960-2.pdf

Reference4 articles.

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2. A. Beurling, Etudes sur un problème de majorization, Thesis, Uppsala University, Uppsala, 1933.

3. Some uniqueness results in the theory of symmetrization;Jenkins, James A.;Ann. of Math. (2),1955

4. On some boundary problems in the theory of conformal mappings of Jordan domains;Matsumoto, Kikuji;Nagoya Math. J.,1964

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A covering theorem about radial segments;Applied Mathematics Letters;1991

2. Harmonic functions in quasicircle domains;Mathematical Sciences Research Institute Publications;1988