Sobolev spaces and hyperbolic fillings
-
Mario Bonk
and
Eero Saksman
Abstract
Let
Z be an Ahlfors Q-regular compact metric measure space, where
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-0456940
Award Identifier / Grant number: DMS-0652915
Award Identifier / Grant number: DMS-1058283
Award Identifier / Grant number: DMS-1058772
Award Identifier / Grant number: DMS-1162471
Funding statement: Mario Bonk was supported by NSF grants DMS-0456940, DMS-0652915, DMS-1058283, DMS-1058772, and DMS-1162471. Eero Saksman was supported by the Finnish CoE in Analysis and Dynamics Research, and by the Academy of Finland, projects 113826 and 118765.
Acknowledgements
The authors are indebted to Marc Bourdon, Bruce Kleiner, Pierre Pansu, and Tomas Soto for many interesting discussions relating to the topic of this paper. They also thank Jeff Lindquist for a careful reading of a draft of the paper.
References
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Articles in the same Issue
- Frontmatter
- Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation
- On the index of symmetric spaces
- Approximation properties for noncommutative Lp-spaces of high rank lattices and nonembeddability of expanders
- On the local-global principle for integral Apollonian 3-circle packings
- Local zero estimates and effective division in rings of algebraic power series
- Sobolev spaces and hyperbolic fillings
- Plücker varieties and higher secants of Sato’s Grassmannian
- Representation stability for homotopy groups of configuration spaces
- Counting in hyperbolic spikes: The diophantine analysis of multihomogeneous diagonal equations
Articles in the same Issue
- Frontmatter
- Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation
- On the index of symmetric spaces
- Approximation properties for noncommutative Lp-spaces of high rank lattices and nonembeddability of expanders
- On the local-global principle for integral Apollonian 3-circle packings
- Local zero estimates and effective division in rings of algebraic power series
- Sobolev spaces and hyperbolic fillings
- Plücker varieties and higher secants of Sato’s Grassmannian
- Representation stability for homotopy groups of configuration spaces
- Counting in hyperbolic spikes: The diophantine analysis of multihomogeneous diagonal equations
