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Mathematics

Turkish Journal of Mathematics

2005

Block space

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Weighted Boundedness For A Rough Homogeneous Singular Integral, Hussain Al-Qassem Jan 2005

Weighted Boundedness For A Rough Homogeneous Singular Integral, Hussain Al-Qassem

Turkish Journal of Mathematics

A weighted norm inequality for a homogeneous singular integral with a kernel belonging to a certain block space is proved. Also, some applications of this inequality are obtained. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.