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Optimal domain for the Hardy operator

Abstract

We study the optimal domain for the Hardy operator considered with values in a rearrangement invariant space. In particular, this domain can be represented as the space of integrable functions with respect to a vector measure defined on a δ-ring. A precise description is given for the case of the minimal Lorentz spaces.Ministerio de Ciencia y Tecnología (MCYT). Españ

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