【摘要】 令（X,d,μ）是Hytnen给出的满足几何双倍与上有界双倍的度量测度空间.本文主要目的是去证明Marcinkiewicz积分的交换子从LlogL（μ）到L^1,∞（μ）及H_atb^1,∞（μ）到L^1,∞（μ）的有界性.更多还原

【Abstract】 Let（X,d,μ） be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions in the sense of Hytnen. The aim of this paper is to establish the boundedness of the commutators of the Marcinkiewicz integrals, from L logL（μ）to L^1,∞（μ） and from H_atb^1,∞（μ）to L^1,∞（μ） respectively.更多还原