Iteration of the lent particle method for existence of smooth densities of Poisson functionals

DOI10.1007/s11118-011-9269-2zbMath1401.60092arXiv1301.6389OpenAlexW3100117990MaRDI QIDQ1935425

Nicolas Bouleau, Laurent Denis

Publication date: 15 February 2013

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6389

zbMATH Keywords

Lévy processesstochastic differential equationsgradientDirichlet formenergy image densityPoisson functionalcarré du champs

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Stochastic integrals (60H05) Random measures (60G57)

Related Items

Hypoellipticity and parabolic hypoellipticity of nonlocal operators under Hörmander's condition ⋮ Regularity of the law of stochastic differential equations with jumps under Hörmander's conditions: the lent particle method

Cites Work

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• Calcul stochastique et problèmes de martingales
• Integration by parts formula and applications to equations with jumps
• Application of the lent particle method to Poisson-driven SDEs
• Estimates of moments and tails of Gaussian chaoses
• Error calculus and regularity of Poisson functionals: The lent particle method
• Dirichlet forms and analysis on Wiener space
• Forme de Dirichlet sur l'espace canonique de Poisson et applications aux équations différentielles stochastiques. (Dirichlet form on the canonical Poisson space and applications to stochastic differential equations)
• On the existence of smooth densities for jump processes
• Energy image density property and the lent particle method for Poisson measures
• Some results in harmonic analysis in 𝐑ⁿ, for 𝐧→∞
• Regularity of a Degenerated Convolution Semi-Group Without to Use the Poisson Process