Harmonic measure and approximation of uniformly rectifiable sets
Simon Bortz
Mathematical Sciences Research Institute, Berkeley, USASteve Hofmann
University of Missouri, Columbia, USA
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Abstract
Let , , be a uniformly rectifiable set of dimension . We show that has big pieces of boundaries of a class of domains which satisfy a 2-sided corkscrew condition, and whose connected components are all chord-arc domains (with uniform control of the various constants). As a consequence, we deduce that has big pieces of sets for which harmonic measure belongs to weak-.
Cite this article
Simon Bortz, Steve Hofmann, Harmonic measure and approximation of uniformly rectifiable sets. Rev. Mat. Iberoam. 33 (2017), no. 1, pp. 351–373
DOI 10.4171/RMI/940