Hardy's operator and normability of generalized Lorentz-Marcinkiewicz spaces, with sharp or weakly sharp constant estimation
Functional Analysis
2012-11-28 v1
Abstract
We introduce a Banach rearrangement invariant (tail) quasy-norm by means of Hardy's (Cesaro) average on the (measurable) functions defined on some measurable space which is a slight generalization of classical Lorentz-Marcinkiewicz norm and find for it an equivalent norm expression.
Keywords
Cite
@article{arxiv.1211.6415,
title = {Hardy's operator and normability of generalized Lorentz-Marcinkiewicz spaces, with sharp or weakly sharp constant estimation},
author = {E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:1211.6415},
year = {2012}
}