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arxiv: math/0602426 · v1 · submitted 2006-02-20 · 🧮 math.FA · math.CA

Optimal domain for the Hardy operator

classification 🧮 math.FA math.CA
keywords domainhardyoperatoroptimalspacecaseconsidereddefined
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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 $\delta$-ring. A precise description is given for the case of the minimal Lorentz spaces.

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