On hypoellipticity of generators of Lévy processes

DOI10.1007/s11512-009-0099-zzbMath1205.60094OpenAlexW2004724718MaRDI QIDQ711470

Helmut Abels, Ryad Husseini

Publication date: 26 October 2010

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-009-0099-z

zbMATH Keywords

Lévy processesMarkov processesLévy measurehypoellipticity

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Probabilistic potential theory (60J45) Hypoelliptic equations (35H10)

Related Items (1)

Regularity estimates for elliptic nonlocal operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A priori estimates for integro-differential operators with measurable kernels
• Jump processes, \(\mathcal L\)-harmonic functions, continuity estimates and the Feller property
• A symbolic calculus for pseudo differential operators generating Feller semigroups
• A class of Feller semigroups generated by pseudodifferential operators
• Harnack inequalities for jump processes
• Potential theory. An analytic and probabilistic approach to balayage
• Smoothness of harmonic functions for processes with jumps.
• On the Feller property of Dirichlet forms generated by pseudo differential operators
• Non-local Dirichlet forms and symmetric jump processes
• Local Regularity of Solutions of a Class of Pseudo Differential Equations in Dirichlet Spaces
• Harnack inequalities for non-local operators of variable order
• Regularity of harmonic functions for anisotropic fractional Laplacians
• Hölder Continuity of Harmonic Functions with Respect to Operators of Variable Order

This page was built for publication: On hypoellipticity of generators of Lévy processes