A new characterization of chord-arc domains

DOI10.4171/JEMS/685zbMath1366.28004arXiv1406.2743OpenAlexW1670116088MaRDI QIDQ522507

Kaj Nyström, Jonas Azzam, Steven Hofmann, Tatiana Toro, José Maria Martell

Publication date: 18 April 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2743

zbMATH Keywords

harmonic measure Carleson measures uniform rectifiability uniform domains $A_\infty$ Muckenhoupt weights 1-sided NTA domains chord-arc domains NTA domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Length, area, volume, other geometric measure theory (28A75) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Harmonic analysis and PDEs (42B37)

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Cites Work