| Marcinkiewicz integral commutator is an important tool in harmonic anal-ysis,the boundedness of Marcinkiewicz integral commutator with homogeneous kernel from Hω1(Rn)toL(ωn/(nβ))/(n/(n-β))(Rn) is obtained by the theory of atomic Hardy space and the weighted boundedness of Marcinkiewicz integral commutator in Lp. And the boundedness of Marcinkiewicz integral commutator with kernel in Lipγ(Sn-1) is also obtained in Hω1(Rn).The character of Marcinkiewicz integral commutator is becoming more and more perfectable, the other charactor will be obtained in future. |
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