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An Endpoint Estimate for the Commutator of Singular Integrals

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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.

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Correspondence to Yong Zhong Sun.

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Partially supported by NSFC 10041005, 10171045

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Sun, Y.Z., Su, W.Y. An Endpoint Estimate for the Commutator of Singular Integrals. Acta Math Sinica 21, 1249–1258 (2005). https://doi.org/10.1007/s10114-004-0468-2

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  • DOI: https://doi.org/10.1007/s10114-004-0468-2

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