Optimal domain for the Hardy operator

Research paper by Olvido Delgado, Javier Soria

Indexed on: 20 Feb '06Published on: 20 Feb '06Published in: Mathematics - Functional Analysis

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 $\delta$-ring. A precise description is given for the case of the minimal Lorentz spaces.