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An Endpoint Estimate for the Commutator of Singular Integrals 被引量:7

An Endpoint Estimate for the Commutator of Singular Integrals
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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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第6期1249-1258,共10页 数学学报(英文版)
基金 NSFC 10041005.10171045
关键词 BMO LMO COMMUTATOR Singular integrals BMO, LMO, Commutator, Singular integrals
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