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arXiv · 0710.4539

Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions

Carlos E. Kenig·David Preiss·Tatiana Toro
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Abstract

In this work we introduce the use of powerful tools from geometric measure theory (GMT) to study problems related to the size and structure of sets of mutual absolute continuity for the inside and outside harmonic measures of domains in n-dimensional Euclidean space, with n bigger than or equal to 3.

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Carlos E. Kenig, David Preiss, Tatiana Toro. 2007-10-24. Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. https://arxiv.org/abs/0710.4539

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