A finite capacity analogue of the Koebe one-quarter theorem-Reference-Cited by-同舟云学术

A finite capacity analogue of the Koebe one-quarter theorem

Published:1993 Issue:3 Volume:119 Page:869-875
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cunningham Robin

Abstract

A variational method is used to determine the largest disk about the origin covered by the image of every normalized univalent function that maps the unit disk onto a region of prescribed logarithmic capacity (transfinite diameter).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-119-03/S0002-9939-1993-1161400-4/S0002-9939-1993-1161400-4.pdf

Reference10 articles.

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2. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Ber\"{u}cksichtigung der Anwendungsgebiete. Band LXVII;Byrd, Paul F.,1954

3. Univalent functions of given transfinite diameter: a maximum modulus problem;Cunningham, Robin;Ann. Acad. Sci. Fenn. Ser. A I Math.,1993

4. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Duren, Peter L.,1983

5. Univalent functions which map onto regions of given transfinite diameter;Duren, P. L.;Trans. Amer. Math. Soc.,1991

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