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<正>Let A be a symmetric expansive matrix and Hp(Rn) be the anisotropic Hardy space associated with A. For a function m in L∞(Rn), an appropriately chosen functionηin Cc∞(Rn) and j∈Z define mj(ξ) = m(Ajξ)η(ξ). The authors show that if 0 < p < 1