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].
@article{urn:eudml:doc:41613,
title = {Singular integrals and rectifiability.},
journal = {Publicacions Matem\`atiques},
volume = {46},
year = {2002},
pages = {199-208},
zbl = {1024.42007},
mrnumber = {MR1964821},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41613}
}
Mattila, Pertti. Singular integrals and rectifiability.. Publicacions Matemàtiques, Tome 46 (2002) pp. 199-208. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41613/