  Norm estimates for strongly continuous semigroups have been successfully
studied in numerous settings, but at the moment there are no corresponding
studies in the case of solution operators of singular integral equations. Such
equations have recently garnered a large amount of interest due to their
potential to model numerous physically relevant phenomena with increased
accuracy by incorporating so-called non-local effects. In this article, we
provide the first step in the direction of providing such estimates for a
particular class of operators which serve as solutions to certain integral
equations. The provided results hold in arbitrary normed vector spaces and
include the classical results for strongly continuous semigroups as a special
case.
