A note on lifting of Carnot groups
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Publication:2493582
DOI10.4171/RMI/443zbMath1100.35029MaRDI QIDQ2493582
Francesco Uguzzoni, Andrea Bonfiglioli
Publication date: 21 June 2006
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmi/1136999139
Fundamental solutions to PDEs (35A08) Analysis on other specific Lie groups (43A80) Subelliptic equations (35H20)
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Cites Work
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- Models for free nilpotent Lie algebras
- Weak solutions for the Levi equation and envelope of holomorphy
- Subelliptic estimates and function spaces on nilpotent Lie groups
- Lifting vector fields to nilpotent Lie groups
- Hypoelliptic differential operators and nilpotent groups
- Free systems of vector fields
- Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups.
- Flow of real hypersurfaces by the trace of the Levi form
- Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature
- The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes
- Hypoelliptic second order differential equations
- On the rothschild-stein lifting theorem
- Sobolev met Poincaré
- Families of diffeomorphic sub-Laplacians and free Carnot groups
- Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
- Fundamental solutions for non-divergence form operators on stratified groups
- A Basis for Free Lie Rings and Higher Commutators in Free Groups
- Strong solutions for the Levi curvature equation.