Optimality of function spaces for kernel integral operators
Functional Analysis
2022-11-11 v2
Abstract
We explore boundedness properties of kernel integral operators acting on rearrangement-invariant (r.i.) spaces. In particular, for a given r.i. space we characterize its optimal range partner, that is, the smallest r.i. space such that the operator is bounded from to . We apply the general results to Lorentz spaces to illustrate their strength.
Cite
@article{arxiv.2010.08632,
title = {Optimality of function spaces for kernel integral operators},
author = {Jakub Takáč},
journal= {arXiv preprint arXiv:2010.08632},
year = {2022}
}
Comments
24 pages, Accepted Mathematische Nachrichten