Potential theory in Denjoy domains
2009 (English)In: International Conference on New trends in harmonic and complex analysis, 2007, Springer Publishing Company, 2009, 143-166 p.Conference paper (Refereed)Text
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. © 2009 Birkhäuser Verlag Basel/Switzerland.
Place, publisher, year, edition, pages
Springer Publishing Company, 2009. 143-166 p.
Denjoy domain, Fine potential theory, Green function, Harmonic function, Martin boundary
IdentifiersURN: urn:nbn:se:kth:diva-187605ScopusID: 2-s2.0-84959075684ISBN: 9783764399054OAI: oai:DiVA.org:kth-187605DiVA: diva2:935199
7 - 12 May 2007
Funding Details: 06/RFP/MAT057, SFI, Science Foundation Ireland
QC 201606102016-06-102016-05-252016-06-10Bibliographically approved