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Proceedings of the American Mathematical Society

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An isoperimetric inequality involving conformal mapping


Author: Andrew Acker
Journal: Proc. Amer. Math. Soc. 65 (1977), 230-234
MSC: Primary 30A30
DOI: https://doi.org/10.1090/S0002-9939-1977-0463412-3
MathSciNet review: 0463412
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Abstract: An isoperimetric inequality due to L. Bieberbach is generalized to the case of weighted areas.


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  • [7] G. Szegö, Über einige Extremalaufgaben der Potentialtheorie, Math. Z. 31 (1930), pp. 583-593. MR 1545137

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1977-0463412-3
Keywords: Isoperimetric inequality, free boundary optimization
Article copyright: © Copyright 1977 American Mathematical Society

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