Journal of Inequalities and Applications 
Volume 2005 (2005), Issue 4, Pages 443-448
doi:10.1155/JIA.2005.443

Surface integrals and harmonic functions

Yevgenya Movshovich

Department of Mathematics, University of Illinois at Urbana-Champaign (UIUC), 1409 W. Green Street, Urbana 61801, IL, USA

Received 15 July 2003

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 n+1.