Affiliation:
1. Department of Mathematical Analysis Faculty of Mathematics and Physics Charles University Czech Republic
Abstract
AbstractWe 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.
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