A parametrix for Kohn's operator

DOI10.1515/FORUM.2010.042zbMath1203.35080OpenAlexW1964094131MaRDI QIDQ3580710

Brian Street

Publication date: 13 August 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum.2010.042

zbMATH Keywords

Heisenberg groupoptimal regularityloss of regularityleft invariant vector field\(C^\infty\) hypoellipticity

Mathematics Subject Classification ID

Hypoelliptic equations (35H10) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)

Cites Work

• An example on the Heisenberg group related to the Lewy operator
• Singular integral characterizations of Hardy spaces on homogeneous groups
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Hypoelliptic second order differential equations
• On maximal Sobolev and Holder estimates for the tangential Cauchy-Riemann operator and boundary Laplacian
• ON THE HYPOELLIPTICITY WITH A BIG LOSS OF DERIVATIVES
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group