Poincaré inequalities and quasiconformal structure on the boundary of some hyperbolic buildings

From MaRDI portal
Publication:4243714

DOI10.1090/S0002-9939-99-04901-1zbMath0924.30030arXivmath/9710208MaRDI QIDQ4243714

Hervé Pajot, Marc Bourdon

Publication date: 19 May 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9710208




Related Items (47)

Hardy’s inequality and the boundary sizeWhich values of the volume growth and escape time exponent are possible for a graph?Tangent lines and Lipschitz differentiability spacesNonsmooth calculusQuasisymmetrically co-Hopfian Menger curves and Sierpiński spacesModulus and Poincaré inequalities on non-self-similar Sierpiński carpetsRigidity for convex-cocompact actions on rank-one symmetric spacesAxiomatic theory of Sobolev spacesDifferentiability and Poincaré-type inequalities in metric measure spacesCheeger-différentiabilité d'applications de certains espaces de SobolevDifferentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym propertyFunctions of bounded mean oscillation and quasisymmetric mappings on spaces of homogeneous typeLusin-type theorems for Cheeger derivatives on metric measure spacesQuasiconformality to quasisymmetry via weak (L,M)-quasisymmetryHolographic tensor networks from hyperbolic buildingsQuasi‐invariance of modulus and quasisymmetry of weakly (L,M)‐quasisymmetric maps in metric spacesThin Loewner Carpets and Their Quasisymmetric Embeddings in S2Uniformity and Loewner condtions of metric spacesThe Perron method for \(p\)-harmonic functions in metric spaces.Measurability of equivalence classes and MEC\(_p\)-propertyNonhomogeneous variational problems and quasi-minimizers on metric spacesA characterization of Newtonian functions with zero boundary valuesCharacterizing spaces satisfying Poincaré inequalities and applications to differentiabilityIntegral energy characterization of Hajłasz-Sobolev spacesQuasiconformality, quasisymmetry, and removability in Loewner spaces. Appendix by Jussi VäisäläThe Poincaré inequality does not improve with blow-upA GEOMETRIC STUDY OF WASSERSTEIN SPACES: HADAMARD SPACESOn the Lipschitz dimension of Cheeger–KleinerPoincaré profiles of groups and spacesSub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groupsAssouad's theorem with dimension independent of the snowflakingMetric and geometric quasiconformality in Ahlfors regular Loewner spacesDifferentiating maps into \(L^1\), and the geometry of BV functionsPoincaré inequality for abstract spacesGeneralized differentiation and bi-Lipschitz nonembedding in \(L^{1}\)Sobolev Mappings between Manifolds and Metric SpacesDensity of Lipschitz mappings in the class of Sobolev mappings between metric spacesSemmes family of curves and a characterization of functions of bounded variation in terms of curvesQuasiconformal maps in metric spaces with controlled geometryA differentiable structure for metric measure spacesQuasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groupsLipschitz algebras and derivations. II: Exterior differentiationCovolumes of uniform lattices acting on polyhedral complexesTangents and rectifiability of Ahlfors regular Lipschitz differentiability spacesAn 𝑛-dimensional space that admits a Poincaré inequality but has no manifold pointsSobolev classes of Banach space-valued functions and quasiconformal mappingsCombinatorial modulus on boundary of right-angled hyperbolic buildings




This page was built for publication: Poincaré inequalities and quasiconformal structure on the boundary of some hyperbolic buildings