Subcoercivity and subelliptic operators on Lie groups. II: The general case

DOI10.1007/BF01071695zbMath0841.43016WikidataQ115394439 ScholiaQ115394439MaRDI QIDQ1891642

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

Publication date: 14 July 1996

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

zbMATH Keywords

semigrouprepresentationskernelsubellipticitysubcoercivityfree nilpotent Lie groupsRothschild-Stein embedding theorem

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Higher-order elliptic equations (35J30)

Related Items (5)

On the 𝐿²→𝐿^{∞} norms of spectral multipliers of “quasi-homogeneous” operators on homogeneous groups ⋮ Grušin operators, Riesz transforms and nilpotent Lie groups ⋮ Gaussian bounds for complex subelliptic operators on Lie groups of polynomial growth ⋮ Elliptic operators on Lie groups ⋮ Weighted subcoercive operators on Lie groups

Cites Work

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• Fundamental solutions and geometry of the sum of squares of vector fields
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Free systems of vector fields
• Subcoercivity and subelliptic operators on Lie groups. I: Free nilpotent groups
• Subelliptic operators on Lie groups: Variable coefficients
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Unitary Representations of Lie Groups and Garding's Inequality
• Analytic and Entire Vectors for Representations of Lie Groups

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