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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A distortion theorem for doubly connected regions


Author: Milton N. Parnes
Journal: Proc. Amer. Math. Soc. 26 (1970), 85-91
MSC: Primary 30.40
DOI: https://doi.org/10.1090/S0002-9939-1970-0265569-X
MathSciNet review: 0265569
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Abstract: In this paper we use a symmetrization result of Szegö and a geometric lemma to generalize a distortion theorem of Pólya and Szegö for simply connected regions to doubly connected regions.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0265569-X
Keywords: Doubly connected regions, $ n$-fold symmetric, convex sets, distortion theorem, extremal problem
Article copyright: © Copyright 1970 American Mathematical Society