### 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
- Social Sciences(all)

## Cite this

Denker, M. H., & Koch, S. (2000). A Poisson formula for harmonic functions on the Sierpiński gasket.

*Forum (Germany)*,*12*(4), 435-448.