MMN-252
Lipschitz estimates for multilinear commutators of singular integral operators on spaces of homogeneous type
Chen Yue; Liu Lanzhe;Abstract
In this paper, we discuss the multilinear commutators of
singular integral operators on the space of homogeneous type. By using the
H\"older's inequalities and the $(L^p,L^q)$ type boundedness for the
fractional integral operator on the space of homogeneous type, we obtain
that this kind of multilinear commutators is bounded from $L^p$ to $L^q$,
from $L^p$ to Triebel-Lizorkin spaces, from $H^p_{\vec{b}}$ to $L^p$ and the
$(H\dot{K}^{\alpha,p}_{q_{1},\vec{b}},\dot{K}_{q_2}^{\alpha,p})$ type
boundedness on the space of homogeneous type.
Vol. 11 (2010), No. 2, pp. 201-220