| An Endpoint Estimate for the Commutator of Singular Integrals |
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| 作者姓名： | Yong Zhong SUN Wei Yi SU |
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| 作者单位： | Deptartment of Mathematics, Nanjing University, Nanfing 210093 P. R. China |
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| 基金项目： | Partially supported by NSFC 10041005, 10171045 |
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| 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.
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| 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 |
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| Yong Zhong SUN Wei Yi SU.An Endpoint Estimate for the Commutator of Singular Integrals[J].Acta Mathematica Sinica,2005,21(6):1249-1258. |
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| Authors: | Yong Zhong Sun Wei Yi Su |
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| Institution: | (1) Deptartment of Mathematics, Nanjing University, Nanjing 210093, P. R. China |
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| 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 |
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| Keywords: | BMO LMO Commutator Singular integrals |
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