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arxiv: 1502.05909 · v1 · pith:KEMG44ODnew · submitted 2015-02-20 · 🧮 math.FA · math.OA

Extensions of the Inequalities of Hardy and Hilbert

classification 🧮 math.FA math.OA
keywords establishhardyhilbertinequalitiesproducebmoaclassclassical
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In this note we produce generalized versions of the classical inequalities of Hardy and of Hilbert and we establish their equivalence. Our methods rely on the H^1-BMOA duality. We produce a class of examples to establish that the generalizations are non-trivial.

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