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Potential theory in Denjoy domains
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). Linköping University.
2009 (English)In: International Conference on New trends in harmonic and complex analysis, 2007, Springer Publishing Company, 2009, 143-166 p.Conference paper, Published paper (Refereed)
Resource type
Text
Abstract [en]

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.
Keyword [en]
Denjoy domain, Fine potential theory, Green function, Harmonic function, Martin boundary
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-187605Scopus ID: 2-s2.0-84959075684ISBN: 9783764399054 (print)OAI: oai:DiVA.org:kth-187605DiVA: diva2:935199
Conference
7 - 12 May 2007
Note

Funding Details: 06/RFP/MAT057, SFI, Science Foundation Ireland

QC 20160610

Available from: 2016-06-10 Created: 2016-05-25 Last updated: 2016-06-10Bibliographically approved

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