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Optimal domain for the Hardy operator

Olvido Delgado·Javier Soria
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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.

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Olvido Delgado, Javier Soria. 2006-02-20. Optimal domain for the Hardy operator. https://arxiv.org/abs/math/0602426

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