The divergence theorem for unbounded vector fields

• Autores: Thierry De Pauw, Washek F. Pfeffer
• Localización: Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 359, Nº 12, 2007, págs. 5915-5929
• Idioma: inglés
• DOI: 10.1090/s0002-9947-07-04178-5
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• Resumen

  • 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