Boas' characterization of bounded domains for which the
Bochner-Martinelli kernel is self-adjoint is extended to the
case of a weighted measure. For strictly convex domains, this
equivalently characterizes the ones whose Leray-Aĭzenberg
kernel is self-adjoint with respect to weighted measure. In
each case, the domains are complex linear images of a ball,
and the measure is the Fefferman measure. The
Leray-Aĭzenberg kernel for a strictly convex hypersurface
in $\mathbb{C}^n$ is shown to be Möbius invariant when
defined with respect to Fefferman measure.