Interpolation sets for Hardy-Sobolev spaces on the boundary of the unit ball of ${\bf C}^n$
| dc.creator | Gudayol, Jaume | |
| dc.date | 1998-04-23 | |
| dc.date.accessioned | 2026-07-07T05:24:29Z | |
| dc.date.available | 2026-07-07T05:24:29Z | |
| dc.description | We study the interpolation sets for the Hardy-Sobolev spaces defined on the unit ball of ${\bf C}^n$. We begin by giving a natural extension to ${\bf C}^n$ of the condition that is known to be necessay and sufficient for interpolation sets lying on the boundary of the unit disc. We show that under this condition the restriction of a function in the Hardy-Sobolev space to the set always exists, and lies in a Besov space. We then show that under the assumption that there is an holomorphic distance function for the set, there is an extension operator from these spaces to the Hardy-Sobolev ones. | |
| dc.description | LaTeX2e, 38 pages | |
| dc.identifier | https://arxiv.org/abs/math/9804112 | |
| dc.identifier | http://arxiv.org/abs/math/9804112 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76858 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A40 | |
| dc.title | Interpolation sets for Hardy-Sobolev spaces on the boundary of the unit ball of ${\bf C}^n$ | |
| dc.type | text |