Some properties of energy measures on Sierpinski gasket type fractals

  • Masanori Hino

    Kyoto University, Japan

Abstract

We confirm, in a more general framework, a part of the conjecture posed by R. Bell, C.-W. Ho, and R. S. Strichartz [Energy measures of harmonic functions on the Sierpiński gasket, Indiana Univ. Math. J. 63 (2014), 831–868] on the distribution of energy measures for the canonical Dirichlet form on the two-dimensional standard Sierpinski gasket.

Cite this article

Masanori Hino, Some properties of energy measures on Sierpinski gasket type fractals. J. Fractal Geom. 3 (2016), no. 3, pp. 245–263

DOI 10.4171/JFG/36