Convexity of harmonic densities

David Benko; Peter Dragnev; Vilmos Totik

doi:10.4171/rmi/698

JournalsrmiVol. 28, No. 4pp. 947–960

Convexity of harmonic densities

David Benko
University of South Alabama, Mobile, USA
- MathSciNet
- zbMATH Open
Peter Dragnev
Indiana-Purdue University, Fort Wayne, USA
Vilmos Totik
University of Szeged, Hungary
- MathSciNet
- zbMATH Open

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Abstract

The convexity of the densities of harmonic measures is proven for subsets of a circle or of the real line. As a consequence, we get the convexity of the densities of equilibrium measures for compact sets lying on circles or the real axis.

Cite this article

David Benko, Peter Dragnev, Vilmos Totik, Convexity of harmonic densities. Rev. Mat. Iberoam. 28 (2012), no. 4, pp. 947–960

DOI 10.4171/RMI/698