Potential Theory in Denjoy Domains
Stephen J. Gardiner, Tomas Sjödin · Analysis and Mathematical Physics · 2009
This paper presents an account of Denjoy domains in relation to minimal harmonic functions, the boundary behaviour of the Green function, and to their usefulness as a source of counterexamples in potential theory. The discussion begins with an exposition of key work of Ancona and Benedicks and then moves on to describe several very recent results.