Abstract
We show a Poisson formula for bounded harmonic functions φ on the Sierpmski gasket y. We construct a boundary (∑, v), a measurable action of a semigroup W on ∑ and a map r: W y, such that for every bounded harmonic function φ on y φr(w))∫∑ Ψ(wς)v(dς) where Ψ: φ → IR is some bounded measurable function.
Original language | English (US) |
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Pages (from-to) | 435-448 |
Number of pages | 14 |
Journal | Forum (Germany) |
Volume | 12 |
Issue number | 4 |
State | Published - May 1 2000 |
All Science Journal Classification (ASJC) codes
- Sociology and Political Science
- General Social Sciences