Lipschitz continuity of the Green function in Denjoy domains

Tom Carroll; Stephen J. Gardiner

doi:10.1007/s11512-007-0069-2

Lipschitz continuity of the Green function in Denjoy domains

Tom Carroll
, Stephen J. Gardiner

School of Mathematical Sciences

University College Dublin

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	271-283
Number of pages	13
Journal	Arkiv for Matematik
Volume	46
Issue number	2
DOIs	https://doi.org/10.1007/s11512-007-0069-2
Publication status	Published - Oct 2008

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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.",

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Lipschitz continuity of the Green function in Denjoy domains

Abstract

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