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中文摘要：
设A是R^n上的一个m阶可导函数,且D^λA∈Λβ（0〈β〈1,｜λ｜=m）,Ω（x,z）∈L^∞（R^n）×L^s（S^n-1）（s≥n/（n-β））是零阶齐次函数且关于变量z满足消失条件.该文证明了广义高阶Marcinkiewicz积分交换子μΩ^A及其变形μΩ^A在Herz型Hardy空间的有界性.
英文摘要：
Let A be a function with derivatives of order m and D^λA∈Λβ（0〈β〈1,｜λ｜=m）.The authors in the paper prove that if Ω（x,z） ∈ L^∞（R^n） × L^s（S^n-1）（s ≥n/（n- β）） is homogenous of degree zero and satisfies the mean value zero condition about the variable z,then both the generalized higher order Marcinkiewicz integral μΩ^A and its variation μΩ^A are bounded on Herz-type Hardy spaces.
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