On Harnack inequality for \(\alpha\)-stable Ornstein-Uhlenbeck processes

DOI10.1007/s00209-007-0188-2zbMath1135.60027OpenAlexW2029075240MaRDI QIDQ2471029

Tomasz Jakubowski

Publication date: 18 February 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0188-2

zbMATH Keywords

Harnack inequalityalpha-stable Ornstein-Uhlenbeck process

Mathematics Subject Classification ID

Related Items (11)

Smooth solution of a nonlocal Fokker-Planck equation associated with stochastic systems with Lévy noise ⋮ Martin representation and relative Fatou theorem for fractional Laplacian with a gradient perturbation ⋮ Estimates of the Green function for the fractional Laplacian perturbed by gradient ⋮ Explicit representation of characteristic function of tempered α‐stable Ornstein–Uhlenbeck process ⋮ Ornstein-Uhlenbeck process driven by \(\alpha\)-stable process and its gamma subordination ⋮ Creeping of Lévy processes through curves ⋮ Time-dependent gradient perturbations of fractional Laplacian ⋮ Markovian bridges: weak continuity and pathwise constructions ⋮ Estimates of gradient perturbation series ⋮ Estimates of heat kernel of fractional Laplacian perturbed by gradient operators ⋮ Green function for gradient perturbation of unimodal Lévy processes in the real line

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