The divergence theorem for unbounded vector fields
| dc.contributor.author | De Pauw, Thierry | |
| dc.contributor.author | Pfeffer, Washek F. | |
| dc.date.accessioned | 2025-06-17T21:27:00Z | |
| dc.date.available | 2025-06-17T21:27:00Z | |
| dc.date.issued | 2007-07-23 | |
| dc.description.abstract | <p>In the context of Lebesgue integration, we derive the divergence theorem for unbounded vector fields that can have singularities at every point of a compact set whose Minkowski content of codimension greater than two is finite. The resulting integration by parts theorem is applied to removable sets of holomorphic and harmonic functions.</p> | |
| dc.description.epage | 5929 | |
| dc.description.spage | 5915 | |
| dc.description.volume | 359 | |
| dc.identifier.doi | 10.1090/s0002-9947-07-04178-5 | |
| dc.identifier.handle | 2078.1/37376 | |
| dc.identifier.issn | 0002-9947 | |
| dc.identifier.issn | 1088-6850 | |
| dc.identifier.openaire | doi_dedup___:9f32695b2579df09296d55fd14f92876 | |
| dc.identifier.uri | https://ror.circle-u.eu/handle/123456789/905898 | |
| dc.openaire.affiliation | UCLouvain | |
| dc.openaire.collaboration | 1 | |
| dc.publisher | American Mathematical Society (AMS) | |
| dc.rights | OPEN | |
| dc.rights.license | https://www.ams.org/publications/copyright-and-permissions | |
| dc.source | Transactions of the American Mathematical Society | |
| dc.subject | BV sets | |
| dc.subject | hausdorff measures | |
| dc.subject | Minkowski contents | |
| dc.subject.fos | 0101 mathematics | |
| dc.subject.fos | 01 natural sciences | |
| dc.title | The divergence theorem for unbounded vector fields | |
| dc.type | publication |