Harmonic measure and approximation of uniformly rectifiable sets

• Simon Bortz ^[1] ; Steve Hofmann ^[2]
  1. [1] Mathematical Sciences Research Institute

     Mathematical Sciences Research Institute

     Estados Unidos

     
  2. [2] University of Missouri

     University of Missouri

     Township of Columbia, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 1, 2017, págs. 351-373
• Idioma: inglés
• DOI: 10.4171/RMI/940
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let E⊂Rn+1, n≥1, be a uniformly rectifiable set of dimension nn. We show E 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 E has big pieces of sets for which harmonic measure belongs to weak-A∞.