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

作者：Meng, Yan^*

来源：Journal of Mathematical Analysis and Applications, 2007, 335(1): 314-331.

DOI：10.1016/j.jmaa.2007.01.075

• multilinear Calderon-Zygmund operator
• Lebesgue space
• Hardy space
• non-doubling measure

Under the assumption that mu is a non-doubling measure on R-d, the author proves that for the multilinear Calderon-Zygmund operator, its boundedness from the product of Hardy space H-1 (mu) x H-1 (mu) into L-1/2 (mu) implies its boundedness from the product of Lebesgue spaces L-p1 (mu) x L-p2 (mu) into L-p (mu) with 1 < p1, p2 < infinity and p satisfying 1/p = 1/p1 1/p2.

• 出版日期2007-11-1
• 单位中国人民大学