Commutators of Singular Integrals and Fractional Integral Operators

Abstract

The commutators of integral and differential operators are very important tools in harmonic analysis and PDE. Recently, the third author of this paper gave a survey (Front. Math. China, 2011, 6(5): 821-833) on some late results and put forward a few problems on commutators of many important operators in harmonic analysis. In this paper, we present some results about the commutators of singular integrals and fractional integrals with rough or variable kernels, which can be seen as a supplement of the aforementioned survey.