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arxiv: 1511.05129 · v1 · pith:HZ2VU2PYnew · submitted 2015-11-16 · 🧮 math.CA · math.FA

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

classification 🧮 math.CA math.FA
keywords inequalitiesdifferentialdimensionshigheroperatorssingularvariationweighted
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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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