Harnack inequality and Hölder regularity estimates for a Lévy process with small jumps of high intensity
type: Item
instance of: scholarly article
title: Harnack inequality and Hölder regularity estimates for a Lévy process with small jumps of high intensity
zbMATH Open document ID: 1279.60100
author: Ante Mimica
published in: Journal of Theoretical Probability
publication date: 2013-07-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1104.4610
review text: The author proves a scale invariant Harnack inequality and a priori estimates of harmonic functions in Hölder spaces with respect to the Lévy process in \(\mathbb R^{d }\) \((d\geq 3)\) with the characteristic exponent \[ \varPhi(\xi) = \frac{|\xi|^2}{\ln(1+|\xi|^2)}-1. \]
reviewed by: Liliana Popa
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60G51
Mathematics Subject Classification ID: 60J25
Mathematics Subject Classification ID: 60J27
zbMATH DE Number: 6189621
zbMATH Keywords: Bernstein function
zbMATH Keywords: Green function
zbMATH Keywords: Lévy process
zbMATH Keywords: Poisson kernel
zbMATH Keywords: harmonic function
zbMATH Keywords: Harnack inequality
zbMATH Keywords: subordinate Brownian motion
MaRDI profile type: Publication
OpenAlex ID: W2086988594
arXiv ID: 1104.4610
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DOI: 10.1007/S10959-011-0361-8
description: scientific article; zbMATH DE number 6189621