Open Access
October 2008 Lipschitz continuity of the Green function in Denjoy domains
Tom Carroll, Stephen J. Gardiner
Author Affiliations +
Ark. Mat. 46(2): 271-283 (October 2008). DOI: 10.1007/s11512-007-0069-2

Abstract

In this paper a Wiener-type characterization is presented of those boundary points of a Denjoy domain where the Green function is Lipschitz continuous. This property is linked with the splitting of a Euclidean boundary point into two minimal Martin boundary points.

Citation

Download Citation

Tom Carroll. Stephen J. Gardiner. "Lipschitz continuity of the Green function in Denjoy domains." Ark. Mat. 46 (2) 271 - 283, October 2008. https://doi.org/10.1007/s11512-007-0069-2

Information

Received: 21 August 2006; Published: October 2008
First available in Project Euclid: 31 January 2017

zbMATH: 1146.31005
MathSciNet: MR2430727
Digital Object Identifier: 10.1007/s11512-007-0069-2

Rights: 2008 © Institut Mittag-Leffler

Vol.46 • No. 2 • October 2008
Back to Top