Accessible parts of the boundary for domains with lower content regular complements

DOI10.5186/aasfm.2019.4458zbMath1423.28011arXiv1807.04534OpenAlexW2963843597WikidataQ127567700 ScholiaQ127567700MaRDI QIDQ5224341

Jonas Azzam

Publication date: 23 July 2019

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04534

zbMATH Keywords

John domainHardy inequalityvisual boundarychord-arc domain

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Length, area, volume, other geometric measure theory (28A75) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (3)

Accessible parts of the boundary for domains in metric measure spaces ⋮ Carleson perturbations of elliptic operators on domains with low dimensional boundaries ⋮ Assouad type dimensions in geometric analysis

Cites Work

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• Harmonic measure and arclength
• Uniform domains and the quasi-hyperbolic metric
• Fractional Hardy inequalities and visibility of the boundary
• Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$
• Weighted pointwise Hardy inequalities
• Accessible parts of boundary for simply connected domains
• Weighted Hardy inequalities beyond Lipschitz domains

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