Article ID Journal Published Year Pages File Type
4592413 Journal of Functional Analysis 2007 15 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory