Obstructions to uniform estimates for solutions to the d-bar equation
| dc.creator | Bharali, Gautam | |
| dc.date | 2009-03-23 | |
| dc.date | 2009-03-26 | |
| dc.date.accessioned | 2026-07-07T12:56:18Z | |
| dc.date.available | 2026-07-07T12:56:18Z | |
| dc.description | We show that if, for every bounded d-bar-closed (0,1)-form f, a pseudoconvex domain Ωadmits a solution to $\bar\partial u=f$ that is continuous up to the boundary and has uniform estimates in terms of $\|f\|_\infty$, then each p\in bdy(Ω) must necessarily admit a peak function in the class $A(Ω):=\mathcal{O}(Ω)\cap\mathcal{C}(\overline\OM)$. We use this fact to examine some geometrical obstructions to uniform estimates for the d-bar equation. | |
| dc.description | This preprint has been withdrawn by the author because the estimate (2.3) does not follow from the formula preceding it | |
| dc.identifier | https://arxiv.org/abs/0903.3908 | |
| dc.identifier | http://arxiv.org/abs/0903.3908 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224537 | |
| dc.subject | Complex Variables | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 32F17; 32F20; 32T40; 35N10 | |
| dc.title | Obstructions to uniform estimates for solutions to the d-bar equation | |
| dc.type | text |