Abstract
In this paper, we prove the weighted endpoint estimates for multilinear commutator of singular integral operators with non-smooth kernels.
Highlights
Let b ∈ BMO(Rn) and T be the Calderón-Zygmund operator, the commutator [b, T] generated by b and T is defined by [b, T](f )(x) = b(x)T(f )(x) – T(bf )(x)
In this paper, we prove the weighted endpoint estimates for multilinear commutator of singular integral operators with non-smooth kernels
1 Introduction Let b ∈ BMO(Rn) and T be the Calderón-Zygmund operator, the commutator [b, T] generated by b and T is defined by [b, T](f )(x) = b(x)T(f )(x) – T(bf )(x)
Summary
Abstract In this paper, we prove the weighted endpoint estimates for multilinear commutator of singular integral operators with non-smooth kernels. 1 Introduction Let b ∈ BMO(Rn) and T be the Calderón-Zygmund operator, the commutator [b, T] generated by b and T is defined by [b, T](f )(x) = b(x)T(f )(x) – T(bf )(x). We will introduce the multilinear commutator of singular integral operators with non-smooth kernels and prove the weighted boundedness properties of the operator for the extreme cases.
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