【摘要】 本文研究分数次积分交换子,其中Kα(x,y)=d(x,y)α-1,m∈N且b(x)∈BMO(X,μ),证明了Iα,bm是从Orlicz空间L(log L)m(X)到弱Lq(X)空间的映照．同时还证明了分数次极大算子交换子Mα,bm也有类似性质．更多还原

【Abstract】 In this paper, the authors consider the commutators of fractional integrals defined by , where Kα(x,y) = d(x, y)α-1,m∈N and b(x) belongs to BMO(X,μ). We prove that Iα,bm maps the Orlicz space L(log L)m(X) into weak Lq(X), and so does the fractional maximal commutator Mα,bm.更多还原