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

By T. Ma, José L. Torrea, Quanhua Xu. 2013

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We prove weighted q-variation inequalities with 2 < q < ∞ for sharp truncations of singular integral operators in higher dimensions. The vector-valued extensions of these inequalities are also given. Parallel results are proven for differential operators.

Subfields: Applied Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/b37c0fd5af58537acbd326a747436aa867a6c3de