Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces

Details Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces

2012-01-11

arxiv.org/abs/1201.2236v1

Mathematics

Probability

24 pages

Scientific paper

We prove a scale-invariant boundary Harnack principle (BHP) on inner uniform domains in metric measure spaces. We prove our result in the context of strictly local, regular, symmetric Dirichlet spaces, without assuming that the Dirichlet form induces a metric that generates the original topology on the metric space. Thus, we allow the underlying space to be fractal, e.g. the Sierpinski gasket.

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