An F. and M. Riesz theorem for planar vector fields
| dc.creator | Berhanu, S. | |
| dc.creator | Hounie, J. | |
| dc.date | 2001-09-07 | |
| dc.date.accessioned | 2026-07-07T04:43:18Z | |
| dc.date.available | 2026-07-07T04:43:18Z | |
| dc.description | We prove that solutions of the homogeneous equation $Lu=0$, where $L$ is a locally integrable vector field with smooth coefficients in two variables possess the F. and M. Riesz property. That is, if $Ω$ is an open subset of the plane with smooth boundary, $u\in C^1(Ω)$ satisfies $Lu=0$ on $Ω$, has tempered growth at the boundary, and its weak boundary value is a measure $μ$, then $μ$ is absolutely continuous with respect to Lebesgue measure on the noncharacteristic portion of $\partialΩ$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0109056 | |
| dc.identifier | http://arxiv.org/abs/math/0109056 | |
| dc.identifier | Math. Ann. 320 (2001), 463-485 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62166 | |
| dc.subject | Complex Variables | |
| dc.title | An F. and M. Riesz theorem for planar vector fields | |
| dc.type | text |