Non-Subelliptic estimates for the tangential Cauchy-Riemann system
| dc.creator | Ahn, H. | |
| dc.creator | Baracco, L. | |
| dc.creator | Zampieri, G. | |
| dc.date | 2005-05-16 | |
| dc.date.accessioned | 2026-07-07T05:19:56Z | |
| dc.date.available | 2026-07-07T05:19:56Z | |
| dc.description | We prove non-subelliptic estimates for the tangential Cauchy-Riemann system over a weakly "$q$-pseudoconvex" higher codimensional submanifold $M$ of $\C^n$. Let us point out that our hypotheses do not suffice to guarantee subelliptic estimates, in general. Even more: hypoellipticity of the tangential C-R system is not in question (as shows the example by Kohn in case of a Levi-flat hypersurface). However our estimates suffice for existence of smooth solutions to the inhomogeneous C-R equations in certain degree. The main ingredients in our proofs are the weighted $L^2$ estimates by Hörmander and Kohn and the tangential $\bar\partial$-Neumann operator by Kohn. As for the notion of $q$ pseudoconvexity we follow closely Zampieri. The main technical result is a version for "perturbed" $q$-pseudoconvex domains of a similar result by Ahn who generalizes in turn Chen-Shaw. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0505338 | |
| dc.identifier | http://arxiv.org/abs/math/0505338 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/75209 | |
| dc.subject | Complex Variables | |
| dc.subject | 32W05; 32W10 | |
| dc.title | Non-Subelliptic estimates for the tangential Cauchy-Riemann system | |
| dc.type | text |