Capacitary upper estimates for symmetric Dirichlet forms
type: Item
instance of: scholarly article
title: Capacitary upper estimates for symmetric Dirichlet forms
zbMATH Open document ID: 1039.31011
DOI: 10.1023/A:1024037212801
author: Hiroyuki Ôkura
published in: Potential Analysis
publication date: 2003-08-06T00:00:00Z
review text: Let \(({\mathcal E},{\mathcal F})\) be a symmetric regular Dirichlet form on \(L^2(X,m)\), where \(X\) is a locally compact separable metric space and \(m\) is a Radon measure on \(X\) with full support. In this setting the author provides a general method for obtaining upper estimates for capacities in terms of upper estimates for energy of cut-off functions in both local and non-local case. The author further studies capacitary inequalities for the skew product of two symmetric Dirichlet forms. The last part of the paper is devoted to upper estimates for capacities for subordinate processes, in particular in the case when the underlying process is a special singular diffusion.
Mathematics Subject Classification ID: 31C15
Mathematics Subject Classification ID: 31C25
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 1960141
zbMATH Keywords: capacity
zbMATH Keywords: non-local Dirichlet forms
zbMATH Keywords: symmetric Markov processes
zbMATH Keywords: skew product
zbMATH Keywords: subordination
reviewed by: Zoran Vondraček
MaRDI profile type: Publication
full work available at URL: a:1024037212801
OpenAlex ID: W2173588388
Recommended article: Q4861769
Recommended article: Q4849661
Recommended article: Capacitary estimates for Dirichlet eigenvalues
Recommended article: Induced Dirichlet forms and capacitary inequalities
Recommended article: Q4233525
Recommended article: Capacitary integrals in Drichlet spaces.
Recommended article: A note on Tightness of Capacities Associated with Dirichlet Forms
Recommended article: Capacitary estimates for solutions of the Dirichlet problem for second order elliptic equations in divergence form
Recommended article: Q4385861
description: scientific article; zbMATH DE number 1960141