Lectures on Analysis on Metric Spaces

2001/01/01 by Juha Heinonen · 24 citations
Engineering · Mathematics · #Analytic and geometric function theory #Computer science #Discrete mathematics #Engineering #Mathematics #Mathematics and Applications #Metric (unit) #Metric space #Point processes and geometric inequalities

paper · doi:10.1007/978-1-4613-0131-8

crossref issued 2001/01/01 · crossref published 2001/01/01 · crossref published-print 2001/01/01 · openalex publication_date 2001/01/01 · crossref created 2011/06/10 · crossref deposited 2019/04/04 · openalex created_date 2025/10/10 · crossref indexed 2026/07/24 · openalex updated_date 2026/07/28

Cited by

• Bi-Lipschitz embedding of projective metrics
• Some topics concerning integrals of derivatives and difference quotients on metric spaces
• Combinatorial Modulus on Boundary ofRight-Angled Hyperbolic Buildings
• The local geometry of finite mixtures
• Mostow rigidity for Fuchsian buildings
• Uniformization of Cantor sets with bounded geometry
• On doubling inequalities for elliptic systems
• Minimum—weight perfect matching for nonintrinsic distances on the line
• The Liouville theorem for p-harmonic functions and quasiminimizers with finite energy
• Some algebraic notions related to analysis on metric spaces
• The Assouad dimension of randomly generated fractals
• The Variational Capacity with Respect to Nonopen Sets in Metric Spaces
• Dimension of harmonic measures in hyperbolic spaces
• Minimal weak upper gradients in Newtonian spaces based on quasi-Banach function lattices
• Interpolation Theory for Sobolev Functions with Partially Vanishing Trace on Irregular Open Sets
• Scalar Curvature Splittings I: Minimal Factors
• Geometric analysis on Cantor sets and trees
• Quasiconformal non-parametrizability of almost smooth spheres
• On equicontinuity of generalized quasiisometries on Riemannian manifolds
• Quasi-isometric invariance of continuous group L p -cohomology, and first applications to vanishings
• Quasi-hyperbolic planes in relatively hyperbolic groups
• Sobolev functions on varifolds
• Pointwise symmetrization inequalities for Sobolev functions and applications
• Rademacher's theorem [wikipedia]