Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
type: Item
instance of: scholarly article
title: Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
zbMATH Open document ID: 1156.60069
author: Zhen-Qing Chen
author: Panki Kim
author: Takashi Kumagai
published in: Mathematische Annalen
publication date: 2008-12-01T00:00:00Z
review text: This paper under review investigates the transition density for Markov processes generated by finite-range stable-like integro-differential operators on \(\mathbb R^d\). Two-sided estimates as well as parabolic Harnack inequalities are derived. As a main tool of the study, the weighted Poincaré inequality is established for the associated Dirichlet forms.
reviewed by: Feng-Yu Wang
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 5375983
zbMATH Keywords: Heat kernel
zbMATH Keywords: jump process
zbMATH Keywords: weighted Poincaré inequality
zbMATH Keywords: Harnack inequality
MaRDI profile type: Publication
full work available at URL: s00208-008-0258-8
OpenAlex ID: W2095192995
cites work: Non-local Dirichlet forms and symmetric jump processes
cites work: Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps
cites work: Transition probabilities for symmetric jump processes
cites work: Q5556844
cites work: Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
cites work: Upper bounds for symmetric Markov transition functions
cites work: Gaugeability and conditional gaugeability
cites work: On heat kernel estimates and parabolic Harnack inequality for jump processes on metric measure spaces
cites work: Heat kernel estimates for stable-like processes on \(d\)-sets.
cites work: Heat kernel estimates for jump processes of mixed types on metric measure spaces
cites work: A new proof of Moser's parabolic Harnack inequality using the old ideas of Nash
cites work: Dirichlet forms and symmetric Markov processes
cites work: Q5187597
cites work: Estimates of Green functions for some perturbations of fractional Laplacian
cites work: NASH-TYPE INEQUALITIES AND HEAT KERNELS FOR NON-LOCAL DIRICHLET FORMS
cites work: Option pricing for a logstable asset price model
cites work: Q3992729
cites work: Can one see \(\alpha\)-stable variables and processes?
cites work: The Poincaré inequality for vector fields satisfying Hörmander's condition
cites work: A priori estimates for integro-differential operators with measurable kernels
cites work: Potential theory of truncated stable processes
cites work: Boundary behavior of harmonic functions for truncated stable processes
cites work: Symmetric Stable Laws and Stable-Like Jump-Diffusions
cites work: FINANCIAL MODELING AND OPTION THEORY WITH THE TRUNCATED LEVY PROCESS
cites work: Aspects of Sobolev-type inequalities
cites work: Opérateurs uniformément sous-elliptiques sur les groupes de Lie. (Uniformly sub-elliptic operators on Lie groups)
cites work: Holder estimates for solutions of integro differential equations like the fractional laplace
cites work: Q3158935
cites work: Differentiability of spectral functions for symmetric $\alpha$-stable processes
cites work: Differentiability of spectral functions for relativistic \(\alpha\)-stable processes with application to large deviations
DOI: 10.1007/S00208-008-0258-8
description: scientific article; zbMATH DE number 5375983