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AREA INTEGRALS AND BOUNDARY BEHAVIOUR OF HARMONIC FUNCTIONS

Published online by Cambridge University Press:  01 July 2004

Mary Hanley
Mary Hanley
Affiliation:
Department of Mathematics, University College Dublin, Dublin 4, Ireland (mary.hanley@ucd.ie)
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Abstract

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This paper introduces a family of area-type integrals over cones. These are used to investigate non-tangential boundary behaviour of harmonic functions on a half-space, extending results of Stein and Brossard.

AMS 2000 Mathematics subject classification: Primary 31B25

Keywords

harmonic functionboundary behaviourarea integral
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 47 , Issue 2 , June 2004 , pp. 365 - 373
Copyright
Copyright © Edinburgh Mathematical Society 2004