Sub-Laplacian with drift in nilpotent Lie groups

• Autorzy: Camillo Melzi
• Języki publikacji: EN

Abstrakty

EN

We consider the heat kernel $ϕ_t$ corresponding to the left invariant sub-Laplacian with drift term in the first commutator of the Lie algebra, on a nilpotent Lie group. We improve the results obtained by G. Alexopoulos in [1], [2] proving the "exact Gaussian factor" exp(-|g|²/4(1+ε)t) in the large time upper Gaussian estimate for $ϕ_t$. We also obtain a large time lower Gaussian estimate for $ϕ_t$.

Kategorie tematyczne

• 43A80: Analysis on other specific Lie groups
• 22E25: Nilpotent and solvable Lie groups
• 22E30: Analysis on real and complex Lie groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 96
• Numer: 1
• Strony: 41-53

Daty

wydano

2003

Twórcy

autor

Camillo Melzi

• Dipartimento di Scienze Chimiche, Fisiche e Matematiche, Università degli studi dell'Insubria, via Valleggio 11, 22100 Como, Italy

Identyfikatory

DOI

10.4064/cm96-1-5