From local to global in quasiconformal structures.
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Publication:4869763
DOI10.1073/pnas.93.2.554zbMath0842.30016OpenAlexW2075941784WikidataQ33561734 ScholiaQ33561734MaRDI QIDQ4869763
Publication date: 5 May 1996
Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1073/pnas.93.2.554
Related Items (27)
Nonsmooth calculus ⋮ Time-smoothing for parabolic variational problems in metric measure spaces ⋮ The obstacle and Dirichlet problems associated with p-harmonic functions in unbounded sets in R^n and metric spaces ⋮ Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon-Nikodym property ⋮ Self-improving properties of John-Nirenberg and Poincaré inequalities on spaces of homogeneous type ⋮ Metric differentiation, monotonicity and maps to \(L^{1}\) ⋮ Prime ends for domains in metric spaces ⋮ Neumann \(p\)-Laplacian problems with a reaction term on metric spaces ⋮ Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds ⋮ Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\) ⋮ Self-improvement of Poincaré type inequalities associated with approximations of the identity and semigroups ⋮ The Perron method for \(p\)-harmonic functions in unbounded sets in \(\mathbf {R}^n\) and metric spaces ⋮ Measurability of equivalence classes and MEC\(_p\)-property ⋮ Removable sets for Sobolev spaces ⋮ Bi-Lipschitz maps in \(Q\)-regular Loewner spaces ⋮ Ultrametricity and metric betweenness in tangent spaces to metric spaces ⋮ Maximal metric surfaces and the Sobolev-to-Lipschitz property ⋮ \(L^p\) self-improvement of generalized Poincaré inequalities in spaces of homogeneous type ⋮ Inverse limit spaces satisfying a Poincaré inequality ⋮ Differentiating maps into \(L^1\), and the geometry of BV functions ⋮ Regularization of Newtonian functions on metric spaces via weak boundedness of maximal operators ⋮ Generalized differentiation and bi-Lipschitz nonembedding in \(L^{1}\) ⋮ On Cheeger and Sobolev differentials in metric measure spaces ⋮ Quasiconformal maps in metric spaces with controlled geometry ⋮ A differentiable structure for metric measure spaces ⋮ Self-improving properties for abstract Poincaré type inequalities ⋮ Sobolev classes of Banach space-valued functions and quasiconformal mappings
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