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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Detalles Bibliográficos
Autor: Mattila, Pertti
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
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spelling Singular integrals and rectifiabilityMattila, PerttiSingular integralCauchy kernelRiesz kernelRectifiable measureWe 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. 22002-01-0120022002-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/138526https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Esco02_09reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1385262026-06-06T12:50:31Z
dc.title.none.fl_str_mv Singular integrals and rectifiability
title Singular integrals and rectifiability
spellingShingle Singular integrals and rectifiability
Mattila, Pertti
Singular integral
Cauchy kernel
Riesz kernel
Rectifiable measure
title_short Singular integrals and rectifiability
title_full Singular integrals and rectifiability
title_fullStr Singular integrals and rectifiability
title_full_unstemmed Singular integrals and rectifiability
title_sort Singular integrals and rectifiability
dc.creator.none.fl_str_mv Mattila, Pertti
author Mattila, Pertti
author_facet Mattila, Pertti
author_role author
dc.subject.none.fl_str_mv Singular integral
Cauchy kernel
Riesz kernel
Rectifiable measure
topic Singular integral
Cauchy kernel
Riesz kernel
Rectifiable measure
description 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.
publishDate 2002
dc.date.none.fl_str_mv 2
2002-01-01
2002
2002-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
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https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Esco02_09
url https://ddd.uab.cat/record/138526
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Esco02_09
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
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instname:Universitat Autònoma de Barcelona
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