Extension theorems of Whitney type by the use of integral operators
| dc.creator | Gudayol, Jaume | |
| dc.date | 1998-03-05 | |
| dc.date | 1998-04-23 | |
| dc.date.accessioned | 2026-07-07T05:24:00Z | |
| dc.date.available | 2026-07-07T05:24:00Z | |
| dc.description | Given a compact of ${\bf R}^n$, there is always a doubling measure having it as its support. We use this fact to construct an integral operator that extends differentiable functions defined on any compact set of ${\bf R}^n$ to the whole of ${\bf R}^n$. This allows us both to give a new proof of Whitney's extension theorem and to extend it to Besov spaces defined on arbitrary compact sets of ${\bf R}^n$. We also modify this operator to obtain, under certain assumptions, holomorphic extensions. | |
| dc.description | LaTeX 2.09 file, 28 p (2nd version, slightly longer proofs to make it mor citable.) | |
| dc.identifier | https://arxiv.org/abs/math/9803016 | |
| dc.identifier | http://arxiv.org/abs/math/9803016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76668 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Complex Variables | |
| dc.subject | 26B20 (Primary) 26B35, 32A40 (Secondary) | |
| dc.title | Extension theorems of Whitney type by the use of integral operators | |
| dc.type | text |