Abstract :
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
Keywords :
Hardy space , Multilinear Calder?n–Zygmund operator , Non-doubling measure , Lebesgue space
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications