Optimal domain for the Hardy operator

Details Optimal domain for the Hardy operator Optimal domain for the Hardy operator

2006-02-20

arxiv.org/abs/math/0602426v1

Mathematics

Functional Analysis

15 pages

Scientific paper

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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