Singular integrals and rectifiability

• Autores: Pertti Mattila
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 46, Nº Extra 1, 2002, págs. 199-208
• Idioma: inglés
• DOI: 10.5565/publmat_esco02_09
• Títulos paralelos:
  • Integrales singulares y rectificabilidad
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• Resumen

  • We shall discuss singular integrals on lower dimensional subsets of Rn. A survey of this topic was given in [M4]. The first part of this paper gives a quick review of some results discussed in [M4] and a survey of some newer results and open problems. In the second part we prove some results on the Riesz kernels in Rn. As far as I know, they have not been explicitly stated and proved, but they are very closely related to some earlier results and methods.

    [Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].