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arXiv · 1511.05129

Weighted variation inequalities for differential operators and singular integrals in higher dimensions

Tao Ma·José Luis Torrea·Quanhua Xu
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Abstract

We prove weighted $q$-variation inequalities with $2<q<\infty$ for differential and singular integral operators in higher dimensions. The vector-valued extensions of these inequalities are also given.

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Tao Ma, José Luis Torrea, Quanhua Xu. 2015-11-16. Weighted variation inequalities for differential operators and singular integrals in higher dimensions. https://doi.org/10.1007/s11425-016-9012-7

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