| An Endpoint Estimate for the Commutator of Singular Integrals |
| |
| 引用本文： | Yong Zhong SUN Wei Yi SU. An Endpoint Estimate for the Commutator of Singular Integrals[J]. 数学学报(英文版), 2005, 21(6): 1249-1258. DOI: 10.1007/s10114-004-0468-2 |
| |
| 作者姓名： | Yong Zhong SUN Wei Yi SU |
| |
| 作者单位： | Deptartment of Mathematics, Nanjing University, Nanfing 210093 P. R. China |
| |
| 基金项目： | Partially supported by NSFC 10041005, 10171045 |
| |
| 摘 要： | It is well known that the commutator Tb 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 Tb is obtained under the assumption b ∈ LMO.
|
| 关 键 词： | BMO LMO 换位子 奇异积分 终点估计 |
| 收稿时间： | 2003-01-08 |
| 修稿时间： | 2003-01-08 |
An Endpoint Estimate for the Commutator of Singular Integrals |
| |
| Yong Zhong Sun,Wei Yi Su. An Endpoint Estimate for the Commutator of Singular Integrals[J]. Acta Mathematica Sinica(English Series), 2005, 21(6): 1249-1258. DOI: 10.1007/s10114-004-0468-2 |
| |
| Authors: | Yong Zhong Sun Wei Yi Su |
| |
| Affiliation: | (1) Deptartment of Mathematics, Nanjing University, Nanjing 210093, P. R. China |
| |
| 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. Partially supported by NSFC 10041005, 10171045 |
| |
| Keywords: | BMO LMO Commutator Singular integrals |
| 本文献已被 维普 SpringerLink 等数据库收录！ |
