The boundedness for commutators of a class of maximal hypersingular integrals with variable kernels

In this paper, the authors proved that a class of maximal hypersingular integrals with variable kernels are bounded from the Sobolev space L̇γ2(Rn) to the Lebesgue space L2(Rn)L2(Rn), which is a substantial improvement and extension of some known results.