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Martin boundary of ...
Martin boundary of a fractal domain
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- Aikawa, Hiroaki, 1956 (författare)
- Shimane University
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- Lundh, Torbjörn, 1965 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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- Mizutani, Tomohiko (författare)
- Hiroshima University
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(creator_code:org_t)
- Springer Science and Business Media LLC, 2003
- 2003
- Engelska.
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Ingår i: Potential Analysis. - : Springer Science and Business Media LLC. - 0926-2601 .- 1572-929X. ; 18:4, s. 311-357
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Abstract
Ämnesord
Stäng
- A uniformly John domain is a domain intermediate between a John domain and a uniform domain. We determine the Martin boundary of a uniformly John domain D as an application of a boundary Harnack principle. We show that a certain self-similar fractal has its complement as a uniformly John domain. In particular, the complement of the 3-dimensional Sierpinacuteski gasket is a uniform domain and its Martin boundary is homeomorphic to the Sierpinacuteski gasket itself.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Martin boundary
- fractal
- boundary Harnack principle
- Green function
- uniformly John domain
- internal metric
- uniformly John domain
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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