Singular integrals and rectifiability.

Pertti Mattila

Publicacions Matemàtiques (2002)

  • Volume: 46, Issue: Extra, page 199-208
  • ISSN: 0214-1493

Abstract

top
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].

How to cite

top

Mattila, Pertti. "Singular integrals and rectifiability.." Publicacions Matemàtiques 46.Extra (2002): 199-208. <http://eudml.org/doc/41613>.

@article{Mattila2002,
abstract = {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].},
author = {Mattila, Pertti},
journal = {Publicacions Matemàtiques},
keywords = {singular integrals; Cauchy kernel; Riesz kernel; rectifiable measure},
language = {eng},
number = {Extra},
pages = {199-208},
title = {Singular integrals and rectifiability.},
url = {http://eudml.org/doc/41613},
volume = {46},
year = {2002},
}

TY - JOUR
AU - Mattila, Pertti
TI - Singular integrals and rectifiability.
JO - Publicacions Matemàtiques
PY - 2002
VL - 46
IS - Extra
SP - 199
EP - 208
AB - 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].
LA - eng
KW - singular integrals; Cauchy kernel; Riesz kernel; rectifiable measure
UR - http://eudml.org/doc/41613
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.