Accessible parts of the boundary for domains in metric measure spaces

DOI10.54330/afm.116365zbMath1492.30119arXiv2103.14775OpenAlexW3149621017MaRDI QIDQ5076530

Riikka Korte, Ryan Gibara

Publication date: 17 May 2022

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14775

zbMATH Keywords

John domainmetric measure spacevisible boundary

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Analysis on metric spaces (30L99)

Cites Work

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• Nonlinear potential theory on metric spaces
• Quasiconformal maps in metric spaces with controlled geometry
• Lectures on analysis on metric spaces
• Weighted pointwise Hardy inequalities
• Accessible parts of boundary for simply connected domains
• Sobolev Spaces on Metric Measure Spaces
• Accessible parts of the boundary for domains with lower content regular complements
• Weighted Hardy inequalities beyond Lipschitz domains
• Lebesgue points and capacities via boxing inequality in metric spaces

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