Preservation of bounded geometry under sphericalization and flattening: quasiconvexity and ∞-Poincaré inequality

DOI10.5186/aasfm.2017.4221zbMath1361.30105OpenAlexW2588954698WikidataQ125923533 ScholiaQ125923533MaRDI QIDQ2965266

Xining Li, Estibalitz Durand-Cartagena

Publication date: 2 March 2017

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

Full work available at URL: https://doi.org/10.5186/aasfm.2017.4221

zbMATH Keywords

metric spacesquasiconvexityPoincaré inequalitydoubling property

Mathematics Subject Classification ID

Quasiconformal mappings in metric spaces (30L10) Analysis on metric spaces (30L99)

Related Items (6)

Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces ⋮ Existence and uniqueness of \(\infty \)-harmonic functions under assumption of \(\infty \)-Poincaré inequality ⋮ Toward a quasi-Möbius characterization of invertible homogeneous metric spaces ⋮ On Sokhotski–Casorati–Weierstrass theorem on metric spaces ⋮ Conformal transformation of uniform domains under weights that depend on distance to the boundary ⋮ SPHERICALIZATION AND FLATTENING PRESERVE UNIFORM DOMAINS IN NONLOCALLY COMPACT METRIC SPACES

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