Published Paper

Inserted: 3 mar 2026
Last Updated: 11 mar 2026

Journal: Mathematische Nachrichten
Year: 2020
Doi: https://doi.org/10.1002/mana.201900545

Abstract:

We explore boundedness properties of kernel integral operators acting on rearrangement-invariant (r.i.) spaces. In particular, for a given r.i. space $X$ we characterize its optimal range partner, that is, the smallest r.i. space $Y$ such that the operator is bounded from $X$ to $Y$. We apply the general results to Lorentz spaces to illustrate their strength.