On the Poincaré inequality for infinitely divisible measures

DOI10.1007/s11118-005-2610-xzbMath1071.31005OpenAlexW2046060921MaRDI QIDQ1781875

Wilhelm Stannat

Publication date: 9 June 2005

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

Full work available at URL: https://doi.org/10.1007/s11118-005-2610-x

zbMATH Keywords

infinitely divisiblesubordinatorPoincaré inequalitybranching processconvolution semigroup

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Dirichlet forms (31C25) Stochastic calculus of variations and the Malliavin calculus (60H07) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

The sector constants of continuous state branching processes with immigration

Cites Work

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• Measure-valued branching processes with immigration
• Analysis and geometry on configuration spaces
• Spectral properties for a class of continuous state branching processes with immigration.
• Construction of diffusions on configuration spaces
• Generalized Gamma measures and shot-noise Cox processes
• Weak Poincaré inequalities and \(L^2\)-convergence rates of Markov semigroups

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