Journal of Inequalities and Applications
Volume 2005 (2005), Issue 4, Pages 443-448
doi:10.1155/JIA.2005.443
Surface integrals and harmonic functions
Department of Mathematics, University of Illinois at Urbana-Champaign (UIUC), 1409 W. Green Street, Urbana 61801, IL, USA
Received 15 July 2003
Copyright © 2005 Yevgenya Movshovich. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Using the notion of inferior mean due to M. Heins, we establish two
inequalities for such a mean relative to a positive harmonic
function defined on the open unit ball or half-space in ℝn+1.