Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-22T06:57:40.941Z Has data issue: false hasContentIssue false
  • English
  • Français

Boundary behavior of positive harmonic functions in balls of Rn

Published online by Cambridge University Press:  22 January 2016

Michael Von Renteln
Michael Von Renteln*
Affiliation:
Mathematisches Institut der Universität, D-6300 Giessen, West-Germany
*
Mathematische Institut I der Universität, D-7500 Karlsruhe, West-Germany
Rights & Permissions [Opens in a new window]

Extract

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.

Let Rn be the real n-dimensional euclidean space. Elements of Rn are denoted by x = (xl • • •, xn), and ‖ x ‖ denotes the euclidean norm of x.

The open ball B(x, r) with center x and radius r is defined by

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 84 , December 1981 , pp. 1 - 8
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

[ 1 ] Cargo, G.T., Angular and tangential limits of Blaschke products and their successive derivatives, Ca Mathn. J., 14 (1962), 334–348.Google Scholar
[ 2 ] Helms, L.L., Introduction to potential theory, Wiley-Interscience, New York, 1969.Google Scholar
[ 3 ] Stein, E.M., Singular integrals and differentiability properties of functions, Princeton University Press, Princeton, 1970.Google Scholar