It studied the generalized fractional integral operator L-β/2 sassociated with divergence form elliptic operator and its commutator [6,L-β/2] generated by the generalized fractional integral operators and BMO(Rn) functions. By the methods of studying ring decomposition of functions and. thier corresponding truncated operators, their boundedness of the results from space MKa,λ,p2,q2 (Rn) to space MKa,λ,p2,q2 (Rn) were established.%研究与二阶散度型椭圆算子L相伴的分数次积分算子L-β/2与BMO(Rn)函数生成的交换子,采用对函数进行环形分解的技术和对算子转化为相应的截断算子的方法,得出其从MKα,λp1.q1q1(Rn)到MKα,λp2,q2.(Rn)是有界的.
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