Gaussian bounds for complex subelliptic operators on Lie groups of polynomial growth

DOI10.1017/S0004972700033670zbMath1027.22013WikidataQ115336941 ScholiaQ115336941MaRDI QIDQ4709791

Derek W. Robinson, A. F. M. ter Elst

Publication date: 23 June 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Gaussian boundsheat kernelssubelliptic operatorsLie groups with polynomial growth

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Analysis on real and complex Lie groups (22E30) Sub-Riemannian geometry (53C17) Subelliptic equations (35H20)

Related Items (2)

Hardy spaces on Lie groups of polynomial growth ⋮ High order regularity for subelliptic operators on Lie groups of polynomial growth

Cites Work

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• Opérateurs uniformément sous-elliptiques sur les groupes de Lie. (Uniformly sub-elliptic operators on Lie groups)
• Balls and metrics defined by vector fields. I: Basic properties
• Riesz transforms and Lie groups of polynomial growth
• An application of homogenization theory to harmonic analysis on solvable Lie groups of polynomial growth
• Subcoercivity and subelliptic operators on Lie groups. I: Free nilpotent groups
• Subcoercivity and subelliptic operators on Lie groups. II: The general case
• Second-order subelliptic operators on Lie groups. I: Complex uniformly continuous principal coefficients
• Compactness methods in the theory of homogenization
• An Application of Homogenization Theory to Harmonic Analysis: Harnack Inequalities And Riesz Transforms on Lie Groups of Polynomial Growth
• Regularity Theorems and Heat Kernel for Elliptic Operators

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