6533b85bfe1ef96bd12bab46

RESEARCH PRODUCT

Singular integrals and rectifiability

Pertti Mattila

subject

AlgebraHarmonic analysisRiesz kernelPartial differential equationCauchy kernelGeneral MathematicsRectifiable measureSingular integralSingular integralMathematics

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 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].

yearjournalcountryeditionlanguage
2002-01-01
10.5565/publmat_esco02_09https://ddd.uab.cat/record/138526