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L^2(R^n) Boundedness for the Commutators of Homogeneous Singular Integral Operators

作者:GuoEnHU; BoLinMA转接器单一积分算子有界平均振动傅里叶变换

摘要:The commutators of singular integral operators with homogeneous kernel Ω(x)/|x|^n are studied, where Ω is homogeneous of degree zero, and has mean value zero on the unit sphere. It is proved that Ω∈ L(logL)^(k+1)(S^(n-1)) is a sufficient condition such that the k-th order commutator is bounded on L^2(R^n).

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