Singular integrals and rectifiability
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 on some newer results and open problems. In the second part we prove some results on the...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:138526 |
| Acceso en línea: | https://ddd.uab.cat/record/138526 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Esco02_09 |
| Access Level: | acceso abierto |
| Palabra clave: | Singular integral Cauchy kernel Riesz kernel Rectifiable measure |
| Sumario: | 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 on some newer results and open problems. In the second part we prove some results on the Riesz kernels in Rn. As far I know, they have not been explicitly stated and proved, but they are very closely related to some earlier results and methods. |
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