A Poisson formula for harmonic functions on the Sierpiński gasket

Manfred Heinz Denker, Susanne Koch

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)435-448
Number of pages14
JournalForum (Germany)
Volume12
Issue number4
StatePublished - 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.
Denker, Manfred Heinz ; Koch, Susanne. / A Poisson formula for harmonic functions on the Sierpiński gasket. In: Forum (Germany). 2000 ; Vol. 12, No. 4. pp. 435-448.
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Denker, MH & Koch, S 2000, 'A Poisson formula for harmonic functions on the Sierpiński gasket', Forum (Germany), vol. 12, no. 4, pp. 435-448.

A Poisson formula for harmonic functions on the Sierpiński gasket. / Denker, Manfred Heinz; Koch, Susanne.

In: Forum (Germany), Vol. 12, No. 4, 01.05.2000, p. 435-448.

Research output: Contribution to journalArticle

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