Capacities in metric spaces
type: Item
instance of: scholarly article
title: Capacities in metric spaces
zbMATH Open document ID: 1030.46038
DOI: 10.1007/BF01217533
author: Marc Troyanov
author: Vladimir Gol'dshtein
published in: Integral Equations and Operator Theory
publication date: 2004-02-24T00:00:00Z
review text: Within an axiomatic approach to Sobolev spaces, the authors discuss various aspects of potential theory related to the variational and the Sobolev capacity on metric measure spaces.
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 31C15
Mathematics Subject Classification ID: 31C45
zbMATH DE Number: 1890577
zbMATH Keywords: Sobolev capacity
zbMATH Keywords: metric measure spaces
reviewed by: Niels Jacob
MaRDI profile type: Publication
cites work: Regularity of quasi-linear equations in the Heisenberg group
cites work: Regularity for quasilinear equations and 1-quasiconformal maps in Carnot groups
cites work: Forme abstraite du théorème de capacitabilité
cites work: Rings and Quasiconformal Mappings in Space
cites work: Axiomatic theory of Sobolev spaces
cites work: Hölder quasicontinuity of Sobolev functions on metric spaces
cites work: Lectures on analysis on metric spaces
cites work: Quasiconformal maps in metric spaces with controlled geometry
cites work: Q4207003
cites work: Q4896353
cites work: Q4328580
cites work: Regularity of quasi-minimizers on metric spaces
cites work: Regularity theory and traces of 𝒜-harmonic functions
cites work: Q3216972
cites work: NON-LINEAR POTENTIAL THEORY
cites work: Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
cites work: Solving the $p$-Laplacian on manifolds
cites work: Q4328597
full work available at URL: https://doi.org/10.1007/bf01217533
OpenAlex ID: W2054886266
Recommended article: Capacities and Hausdorff measures on metric spaces
Recommended article: The Besov capacity in metric spaces
Recommended article: An alternative capacity in metric measure spaces
Recommended article: Maximal operators and capacities in metric spaces
Recommended article: The BV-capacity in metric spaces
Recommended article: Q4450619
Recommended article: Capacities and 1-strict subsets in metric spaces
Recommended article: Q3754263
Recommended article: Регулярні ємності на метризовних просторах
Recommended article: Q3374610
description: scientific article; zbMATH DE number 1890577