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)|
|Number of pages||14|
|State||Published - May 1 2000|
All Science Journal Classification (ASJC) codes
- Sociology and Political Science
- Social Sciences(all)