Conformal transformation of uniform domains under weights that depend on distance to the boundary

DOI10.1515/agms-2022-0141zbMath1502.30157arXiv2204.01920OpenAlexW4312756676MaRDI QIDQ2087475

Nageswari Shanmugalingam, Ryan Gibara

Publication date: 21 October 2022

Published in: Analysis and Geometry in Metric Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01920

zbMATH Keywords

uniform domainsmetric spaces, conformal deformations

Mathematics Subject Classification ID

Quasiconformal mappings in metric spaces (30L10) Geometric embeddings of metric spaces (30L05)

Cites Work

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• Sets of absolute continuity for harmonic measure in NTA domains
• Preservation of \(p\)-Poincaré inequality for large \(p\) under sphericalization and flattening
• Poincaré inequalities, uniform domains and extension properties for Newton-Sobolev functions in metric spaces
• Scale-invariant boundary Harnack principle on inner uniform domains in fractal-type spaces
• Rigidity for quasi-Möbius group actions
• Sphericalizations and applications in Gromov hyperbolic spaces
• Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces
• Uniformity from Gromov hyperbolicity
• Preservation of bounded geometry under sphericalization and flattening: quasiconvexity and ∞-Poincaré inequality
• Preservation of bounded geometry under sphericalization and flattening
• Injectivity theorems in plane and space
• Sobolev Spaces on Metric Measure Spaces

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