Riesz and Poisson-Jensen representation formulas for a class of ultraparabolic operators on Lie groups

DOI10.1007/s11118-008-9112-6zbMath1172.31001OpenAlexW2133006502WikidataQ115381441 ScholiaQ115381441MaRDI QIDQ1014003

Chiara Cinti, Ermanno Lanconelli

Publication date: 24 April 2009

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

Full work available at URL: https://doi.org/10.1007/s11118-008-9112-6

zbMATH Keywords

potential theoryHörmander operatorsGreen functions and potentialsRiesz and Poisson-Jensen representation formulasultraparabolic operators

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Analysis on other specific Lie groups (43A80) Hypoelliptic equations (35H10) Lie groups (22E99) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (5)

A Zaremba-type criterion for hypoelliptic degenerate Ornstein-Uhlenbeck operators ⋮ Wiener-Landis criterion for Kolmogorov-type operators ⋮ Blaschke, Privaloff, Reade and Saks theorems for diffusion equations on Lie groups ⋮ A note on Harnack inequalities and propagation sets for a class of hypoelliptic operators ⋮ Two-sided bounds for degenerate processes with densities supported in subsets of \(\mathbb R^N\)

Cites Work

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