An Endpoint Estimate for the Commutator of Singular Integrals

Citation
Sun, Yong Zhong et Su, Wei Yi, An Endpoint Estimate for the Commutator of Singular Integrals, Acta mathematica Sinica. English series (Print) , 21(6), 2005, pp. 1249-1258
ISSN journal
14398516
Volume
21
Issue
6
Year of publication
2005
Pages
1249 - 1258
Database
ACNP
SICI code
Abstract
It is well known that the commutator T b of the singular integral operator T with a BMO function b is bounded on L p(R n), 1 < p < .. In this paper, we consider the endpoint estimates for a kind of commutator of singular integrals. A BMO.type estimate for T b is obtained under the assumption b . LMO.