A class of singular symmetric Markov processes
type: Item
instance of: scholarly article
title: A class of singular symmetric Markov processes
zbMATH Open document ID: 1266.60148
author: Fangjun Xu
published in: Potential Analysis
publication date: 2013-02-15T00:00:00Z
review text: A class of Lévy-type jump processes on \(\mathbb R^d\) with jump kernel of type \[ J(x,y):= 1_{\{x_i\neq y_i, i\leq d\}}\frac{c(x,y)}{|x-y|^{1+\alpha}} \] is investigated, where \(\alpha \in (0,2)\) is a constant, and \(k_1\leq c(x,y)\leq k_2\) holds for some constants \(k_1,k_2>0.\) Explicit upper and lower bounds are derived for the heat kernel and the bounded harmonic functions are proved to be Hölder continuous.
reviewed by: Feng-Yu Wang
Mathematics Subject Classification ID: 60J75
Mathematics Subject Classification ID: 31B05
Mathematics Subject Classification ID: 31C25
zbMATH DE Number: 6136703
zbMATH Keywords: Dirichlet form
zbMATH Keywords: Lévy process' stable process
zbMATH Keywords: Nash inequality
MaRDI profile type: Publication
full work available at URL: s11118-011-9270-9
OpenAlex ID: W1984855878
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DOI: 10.1007/S11118-011-9270-9
description: scientific article; zbMATH DE number 6136703