  We consider electrons confined to a quantum dot interacting
antiferromagnetically with a spin-$\half$ Kondo impurity. The electrons also
interact among themselves ferromagnetically with a dimensionless coupling
$\tilde{J}$, where $\tilde{J}=1$ denotes the bulk Stoner transition. We show
that as $\tilde{J}$ approaches 1 there is a regime with enhanced Kondo
correlations, followed by one where the Kondo effect is destroyed and impurity
is spin polarized opposite to the dot electrons. The most striking signature of
the first, Stoner-enhanced Kondo regime, is that a Zeeman field increases the
Kondo scale, in contrast to the case for noninteracting dot electrons.
Implications for experiments are discussed.
