Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps

DOI10.1112/jlms.12449zbMath1480.60221arXiv1901.08745OpenAlexW3132071471MaRDI QIDQ5859980

Soobin Cho, Panki Kim, Jae-Hoon Kang

Publication date: 18 November 2021

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08745

zbMATH Keywords

Lévy processDirichlet heat kernel

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Transition functions, generators and resolvents (60J35) Boundary theory for Markov processes (60J50) Jump processes on general state spaces (60J76)

Cites Work

• Unnamed Item
• Unnamed Item
• Dirichlet heat kernel for unimodal Lévy processes
• Harnack inequalities for subordinate Brownian motions
• Global Dirichlet heat kernel estimates for symmetric Lévy processes in half-space
• Global heat kernel estimates for fractional Laplacians in unbounded open sets
• Sharp heat kernel estimates for relativistic stable processes in open sets
• Global heat kernel estimates for relativistic stable processes in half-space-like open sets
• Two-sided estimates for the transition densities of symmetric Markov processes dominated by stable-like processes in \(C^{1, \eta}\) open sets
• Potential analysis of stable processes and its extensions. With some of the papers based on the presentations at the workshop on stochastic and harmonic analysis of processes with jumps, Angers, France, May 2--9, 2006.
• Heat kernel estimates for the Dirichlet fractional Laplacian
• Classification of coharmonic and coinvariant functions for a Levy process
• The growth of random walks and Levy processes
• Estimates of Dirichlet heat kernels for subordinate Brownian motions
• Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal Lévy processes
• Heat kernel estimates for time fractional equations
• Heat kernel estimates for the fractional Laplacian with Dirichlet conditions
• Extension and trace for nonlocal operators
• On estimates of transition density for subordinate Brownian motions with Gaussian components in \(C^{1,1}\)-open sets
• Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings
• Estimates of Dirichlet heat kernel for symmetric Markov processes
• Barriers, exit time and survival probability for unimodal Lévy processes
• Global uniform boundary Harnack principle with explicit decay rate and its application
• Density and tails of unimodal convolution semigroups
• Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components
• Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
• Dirichlet heat kernel estimates for rotationally symmetric Lévy processes
• Two-sided Green function estimates for killed subordinate Brownian motions
• On notions of harmonicity
• Green function estimates for subordinate Brownian motions: Stable and beyond
• Gradient estimates of harmonic functions and transition densities for Lévy processes
• [https://portal.mardi4nfdi.de/wiki/Publication:3664169 The isoperimetric inequality for isotropic unimodal L�vy processes]
• Potential theory of one-dimensional geometric stable processes
• A note on the existence of transition probability densities of Lévy processes
• Potential Theory of Subordinate Brownian Motions Revisited
• Heat kernel estimates for Δ+Δ ^{α /2} in C ^{1, 1} open sets
• Asymptotic Behaviour and Estimates of Slowly Varying Convolution Semigroups
• Heat kernel estimates for subordinate Brownian motions
• On the Infinitesimal Generators of Integral Convolutions

This page was built for publication: Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps