A new characterization of chord-arc domains
By Jonas Azzam, S. Hofmann, J. M. Martell, Kaj Nyström, T. Toro. 2014
94 citations recorded by the source corpus.
The first author was partially supported by NSF RTG grant 0838212. The second author was supported by NSF grants DMS-1101244 and DMS-1361701. The third author was supported in part by MINECO Grant MTM2010-16518, ICMAT Severo Ochoa project SEV-2011-0087. He also acknowledges that the research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013)/ ERC agreement no. 615112 HAPDEGMT. The fourth author was partly supported by the Swedish research council VR. The last author was partially supported by the Robert R. & Elaine F. Phelps Professorship in Mathematics.
Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/08a80503c63a2d7b4967de33df66afa319d4fd3c
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In Algebra and Number Theory
In Applied Mathematics
- J. M. Martell
- S. Hofmann
- Tuomas Hytönen
- Xavier Tolsa
- Mihalis Mourgoglou
- P. Auscher
- Dachun Yang
- Svitlana Mayboroda
In Geometry and Topology
- Alexander Volberg
- Xavier Tolsa
- S. Hofmann
- J. M. Martell
- Kaj Nyström
- Svitlana Mayboroda
- Jonas Azzam
- Tuomas Hytönen
Citations in the corpus
- Harmonic measure and quantitative connectivity: geometric characterization of the Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg (2018, background): “[HM1],andincollaboration withUriarte-Tuero [HMU],showedthatfor a uniform domain with n-AD regular boundary, ω∈ weak-A∞(Hn|∂Ω) if and only if ∂Ω is uniformly n-rectifiable. This was further improved in [AHMNT] where it was shown that any uniform domain with uniformly n-rectifiable boundary is in fact N”
- Rectifiability of harmonic measure (2015, background): “See also [HM1], [BL], [Ba], [Az], [AMT1], [ABHM] along with [AHMNT] in this context.”
- The weak-A∞ property of harmonic and p-harmonic measures implies uniform rectifiability (2015, background): “In hindsight, under that extra assumption, one obtains the stronger conclusion that the exterior domain Rn+1 \ in fact also satisfies a corkscrew condition, and hence that is an NTA domain in the sense of [Jerison and Kenig 1982]; see [Azzam et al. 2014] for the details.”