Abstract
Similar to the property of a linear Calderon-Zygmund operator, a linear fractional type operator Iα associated with a BMO function b fails to satisfy the continuity from the Hardy space Hp into Lp for p ⩽ 1. Thus, an alternative result was given by Y. Ding, S. Lu and P. Zhang, they proved that [b, Iα] is continuous from an atomic Hardy space Hbp into Lp, where Hbp is a subspace of the Hardy space Hp for n/(n+1) < p ⩽ 1. In this paper, we study the commutators of multilinear fractional type operators on product of certain Hardy spaces. The endpoint \((H_{b_1 }^{p_1 } \times \cdots \times H_{bm}^{p_m } ,L^p )\) boundedness for multilinear fractional type operators is obtained. We also give the boundedness for the commutators of multilinear Calderon-Zygmund operators and multilinear fractional type operators on product of certain Hardy spaces when b ∈ (Lipβ)m(ℝn).
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call