Optimal domain for the Hardy operator
Functional Analysis
2007-05-23 v1 Classical Analysis and ODEs
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 -ring. A precise description is given for the case of the minimal Lorentz spaces.
Cite
@article{arxiv.math/0602426,
title = {Optimal domain for the Hardy operator},
author = {Olvido Delgado and Javier Soria},
journal= {arXiv preprint arXiv:math/0602426},
year = {2007}
}
Comments
15 pages