【摘要】 Tbm表示由函数b∈BMO(Rn)和强奇异积分算子T生成的m阶交换子。Tbm在Lq(Rn)上的有界性结果已经存在。利用不等式技巧进一步研究了Tbm在Herz和Morrey-Herz空间上的有界性质,所得结果更具有一般性。更多还原

【Abstract】 The m-order commutator Tbm is generated by a function b∈BMO(Rn) and strongly singular integrals operator T.The bounded result of Tbm is already existed in Lq(Rn) space.Based on the inequality technique,the boundedness of Tbm in Herz spaces and Morrey-Herz spacres has been further studied respectively.The results are proved to be general.更多还原