Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces
Abstract: Let (Z, d, μ) be a compact, connected, Ahlfors Q-regular metric space with Q > 1. Using a hyperbolic filling of Z,we define the notions of the p-capacity between certain subsets of Z and of theweak covering p-capacity of path families Γ in Z.We show comparability results and quasisymmetric invariance.As an application of our methodswe deduce a result due to Tyson on the geometric quasiconformality of quasisymmetric maps between compact, connected Ahlfors Q-regular metric spaces.
- Location
-
Deutsche Nationalbibliothek Frankfurt am Main
- Extent
-
Online-Ressource
- Language
-
Englisch
- Bibliographic citation
-
Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces ; volume:4 ; number:1 ; year:2016 ; extent:26
Analysis and geometry in metric spaces ; 4, Heft 1 (2016) (gesamt 26)
- Creator
-
Lindquist, Jeff
- DOI
-
10.1515/agms-2016-0019
- URN
-
urn:nbn:de:101:1-2024041116313568662060
- Rights
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
-
14.08.2025, 10:51 AM CEST
Data provider
This object is provided by:
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Lindquist, Jeff
Other Objects (12)
Traceability and comparability through crosswalks with the NeuroMET Memory Metric
Semiparametric Trend Analysis for Stratified Recurrent Gap Times Under Weak Comparability Constraint
COMPARABILITY GROUPS
Fixed points of asymptotically regular mappings in metric spaces
Weak solutions to gradient flows in metric measure spaces
Nonexpansive retracts and weak compatible pairs in metric Spaces
Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces
Producing Comparability Ethnographically
Deep multi-metric training: the need of multi-metric curve evaluation to avoid weak learning
Correction to: Lipschitz modulus of linear and convex inequality systems with the Hausdorff metric
The weak Pareto law and regular variation in the tails
The Weak Pareto Law and Regular Variation in the Tails
Traceability and comparability through crosswalks with the NeuroMET Memory Metric
Semiparametric Trend Analysis for Stratified Recurrent Gap Times Under Weak Comparability Constraint
COMPARABILITY GROUPS
Fixed points of asymptotically regular mappings in metric spaces
Weak solutions to gradient flows in metric measure spaces
Nonexpansive retracts and weak compatible pairs in metric Spaces
Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces
Producing Comparability Ethnographically
Deep multi-metric training: the need of multi-metric curve evaluation to avoid weak learning
Correction to: Lipschitz modulus of linear and convex inequality systems with the Hausdorff metric
The weak Pareto law and regular variation in the tails
The Weak Pareto Law and Regular Variation in the Tails
Traceability and comparability through crosswalks with the NeuroMET Memory Metric
Semiparametric Trend Analysis for Stratified Recurrent Gap Times Under Weak Comparability Constraint
COMPARABILITY GROUPS
Fixed points of asymptotically regular mappings in metric spaces
Weak solutions to gradient flows in metric measure spaces
Nonexpansive retracts and weak compatible pairs in metric Spaces
Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces
Producing Comparability Ethnographically
Deep multi-metric training: the need of multi-metric curve evaluation to avoid weak learning
Correction to: Lipschitz modulus of linear and convex inequality systems with the Hausdorff metric
The weak Pareto law and regular variation in the tails