Hostname: page-component-7bb8b95d7b-qxsvm Total loading time: 0 Render date: 2024-09-13T11:18:10.399Z Has data issue: false hasContentIssue false

An Extremal Problem for Harmonic Functions in the Ball

Published online by Cambridge University Press:  20 November 2018

Dmitry Khavinson*
Affiliation:
Department of Mathematical Sciences University of Arkansas Fayetteville, Arkansas U.S.A. 72701
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Keywords

Type
Research Article
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