Multilinear Calderón–Zygmund operators on the product of Lebesgue spaces with non-doubling measures

Under the assumption that μ is a non-doubling measure on Rd, the author proves that for the multilinear Calderón–Zygmund operator, its boundedness from the product of Hardy space H1(μ)×H1(μ) into L1/2(μ) implies its boundedness from the product of Lebesgue spaces Lp1(μ)×Lp2(μ) into Lp(μ) with 1