Failure of hypoellipticity for the canonical solution to \({\bar\partial_b}\) on some nilpotent Lie groups

DOI10.1007/s00209-007-0298-xzbMath1148.22005OpenAlexW2000982640WikidataQ115388812 ScholiaQ115388812MaRDI QIDQ944246

Manuel Flores

Publication date: 15 September 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0298-x

zbMATH Keywords

Riesz transformfailure of hypoellipticityFourier analysis on nilpotent Lie groupsKohn's estimate

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Proceedings, conferences, collections, etc. pertaining to topological groups (22-06) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Cites Work

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• Model rigid CR submanifolds of CR dimension 1
• Harmonic Analysis in Phase Space. (AM-122)
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliers
• On the rothschild-stein lifting theorem
• Induced Representations of Locally Compact Groups and Applications

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