A Poisson formula for harmonic functions on the Sierpiński gasket

Forum Mathematicum

Volumn 12, Issue 4, 2000, Pages 435-448

  Denker, Manfred ^a   Koch, Susanne ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034401332     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.2000.013     Document Type: Article

References (10)

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2. Denker, M., Sato, H.: Sierpiński gasket as a Martin boundary II: The intrinsic metric. To appear: Publ. RIMS, Kyoto University
3. Denker, M., Sato, H.: Sierpiński gasket as a Martin boundary III: Harmonic functions. Preprint
4. Dynkin, E. B.: Boundary theory of Markov processes (the discrete case). Russian Math. Surveys 24 (1969), 1-42
5. Furstenberg, H.: Random walks and discrete subgroups of Lie groups. Advances in Probab. Ed.: P. Ney, vol. 1, 1-63. M. Dekker 1971
6. Kigami, J.: A harmonic calculus on the Sierpiński spaces. Japan J. Appl. Math. 6 (1989), 259-290
7. Kigami, J.: Harmonic calculus on p.c.f. self-similar sets. Trans. Amer. Math. Soc. 335 (1993), 721-755
8. Kaimanovich, V. A. Versik, A. M.: Random walks on discrete groups: boundary and entropy. Ann. Probab. 11 (1983), 457-490
9. Metz, V.: Potentialtheorie auf dem Sierpiński gasket. Math. Ann. 289 (1991), 207-237
10. Waddington, S.: The Dirichlet problem for Laplacians on post critically critically finite self similar fractals. Preprint, Göttingen 1996