λ-CENTRAL BMO ESTIMATES FOR MULTILINEAR COMMUTATORS OF SINGULAR INTEGRAL OPERATOR ON SPACES OF HOMOGENEOUS TYPE

CHENG YUE, HUANG CHUANGXIA, LIU LANZHE

1. College of Mathematics, Changsha University of Science and
Technology, Changsha, 410077, P.R.of CHINA,
e-mail: chengyuetiger@sina.com
2. College of Mathematics, Changsha University of Science and
Technology, Changsha, 410077, P.R.of CHINA,
e-mail: cxiahuang@126.com
3. College of Mathematics, Changsha University of Science and Technology,
Changsha, 410077, P.R.of CHINA,
e-mail: lanzheliu@163.com

Abstract

In this paper, we establish λ -central BMO estimates for the multilinear commutator related to the singular integral operator in central Morrey spaces on homogeneous spaces.

Keywords

multilinear commutator singular integral operator λ-central space space of homogeneous type.