Preservation of \(p\)-Poincaré inequality for large \(p\) under sphericalization and flattening

zbMath1361.31015MaRDI QIDQ512482

Estibalitz Durand-Cartagena, Xining Li

Publication date: 27 February 2017

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1488186020

zbMATH Keywords

metric spacesquasiconvexityPoincaré inequality

Mathematics Subject Classification ID

Potential theory on fractals and metric spaces (31E05) Quasiconformal mappings in metric spaces (30L10) Analysis on metric spaces (30L99)

Related Items (5)

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 ⋮ Locally \(p\)-admissible measures on \(\mathbf{R}\) ⋮ 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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