Sobolev classes of Banach space-valued functions and quasiconformal mappings
By J. Heinonen, Pekka Koskela, Nageswari Shanmugalingam, Jeremy T. Tyson. 2001
213 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/10da61015948cf6f0e16a42cb52725e4c823076a
How researchers see this paper
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In Applied Mathematics
- Bruce Kleiner
- P. Hajłasz
- S. Wenger
- A. Lytchak
- Emanuele Spadaro
- Camillo De Lellis
- Shin-ichi Ohta
- Jeff Cheeger
In Geometry and Topology
- Bruce Kleiner
- A. Lytchak
- S. Wenger
- S. Keith
- P. Hajłasz
- Jeff Cheeger
- L. Saloff‐Coste
- Camillo De Lellis
Citations in the corpus
- Q-valued functions revisited (2008, background): “The same issue was then considered later by several other authors in connections with different problems in geometry and analysis (see for instance [11], [25], [30], [33], [32], [34], and [46]).”
- Differentiability of Lipschitz Maps from Metric Measure Spaces to Banach Spaces with the Radon–Nikodym Property (2008, background): “where the convergence is uniform in i .F rom the Poincar´ e inequality applied to the function fi − i (see [ HKST ]) and the fact that f is Lipschitz, it follows the quantity”
- Area Minimizing Discs in Metric Spaces (2015, background): “2 essentially follows from arguments in [31], see also [30].”
- The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity (2006, background): “The paper [39] extended this assertion to Sobolev functions, and showed that quasiconformal homeomorphisms Z → Z′ between Q-regular, QLoewner spaces also have a well-defined Cheeger derivative, whenQ > 1.”
- Sobolev Mappings between Manifolds and Metric Spaces (2009, methodology): “The following two results were proved in [47] (see also [31] for Theorem 5.”
- Convexities of metric spaces (2007, background): “Proof We give only a sketch of the proof. See [21 ]a nd [ 11 ] for detail.”
- Harnack inequality and hyperbolicity for subelliptic p-Laplacians with applications to Picard type theorems (2001, methodology): “Then (N,∆) is Q-parabolic if and only if (M, ˜ ∆) is Q-parabolic. Proof. Using [ HeKST , Thm.”