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5. COMMUTATORS OF SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS

COMMUTATORS OF SINGULAR INTEGRAL OPERATORS WITH NON-SMOOTH KERNELS

来源 :数学物理学报（英文版） | 被引量 : 0次 | 上传用户：surtacohen1

【摘 要】

：

Let T be a singular integral operator bounded on Lp(Rn) for some p, 1 ＜ p ＜∞. The authors give a sufficient condition on the kernel of T so that when b ∈BMO, th

【作 者】

：

Deng Donggao Yan Lixin 

【机 构】

：

Department of Mathematics

【出 处】

：

数学物理学报（英文版）

【发表日期】

：

2004年期

【关键词】

：

Commutator BMO singular integrals semigroup kernel 

【基金项目】

：

中山大学校科研和教改项目;国家自然科学基金

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Let T be a singular integral operator bounded on Lp(Rn) for some p, 1 ＜ p ＜∞. The authors give a sufficient condition on the kernel of T so that when b ∈BMO, the commutator [b, T](f) = T(bf) - bT(f) is bounded on the space Lp for all p, 1 ＜ p ＜∞.The condition of this paper is weaker than the usual pointwise Hormander condition.

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