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An Extremal Problem for Harmonic Functions in the Ball

Published online by Cambridge University Press:  20 November 2018

Dmitry Khavinson
Dmitry Khavinson*
Affiliation:
Department of Mathematical Sciences University of Arkansas Fayetteville, Arkansas U.S.A. 72701
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Abstract

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In this note we obtain a sharp estimate for a radial derivative of bounded harmonic functions in the ball.

Keywords

31B10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 218 - 220
Copyright
Copyright © Canadian Mathematical Society 1992 

Footnotes

The author was supported in part by a grant from the National Science Foundation.

References

[B] Bandle, C., Isoperimetric Inequalities and Applications, Pitman, Boston-London-Melbourne, 1980.Google Scholar
[G] Garnett, J., Bounded Analytic Functions, Academic Press, New York-San Francisco, 1981.Google Scholar
[K] Kellogg, O., Foundations of Potential Thoery, Ungar, 4th printing, New York, 1970.Google Scholar