Lin, Yan et Xu, Mei, Endpoint estimates for Marcinkiewicz integrals on weighted weak hardy spaces, Acta mathematica Sinica. English series (Print) , 31(3), 2015, pp. 430-444
In this paper, we obtain the (WH 1., WH 1.) type estimate for the Marcinkiewicz integral and the (WH 1b, ., WH 1.) type estimate for the commutator generated by a BMO function and the Marcinkiewicz integral, where the kernel satisfies a certain logarithmic type Lipschitz condition.