一类粗糙核奇异积分算子与Lipschitz函数生成的交换子的有界性估计

The boundedness of commutators generated by a kind of nonsmooth kernel Singular integral operators integral operators with Lipschitz function

引入了一类粗糙核奇异积分算子与Lipschitz函数生成的交换子Tb=b(x)Tf(x)-T(bf)(x),T表示具有粗糙核Ω∈Ln-a/n(Log(Sn-1))的奇异积分算子,b是Lipschitz函数,并研究了此交换子的Lp(Rn)到L2(Rn),1/2=1/p-a/n有界性.

The boundedness of commutators generated was studied by singular integral operator which has a kind of nonsmooth kernel Q∈L n/（n-a）（Log（S（n-1））） with Lipschitz function from Lp（Rn）to L2（Rn）,where 1/2=1/p-a/n（1〈p〈∞）.