  We give new characterizations of the optimal data space for the
$L^p(bD,\sigma)$-Neumann boundary value problem for the $\bar{\partial}$
operator associated to a bounded, Lipschitz domain $D\subset\mathbb{C}$. We
show that the solution space is embedded (as a Banach space) in the Dirichlet
space and that for $p=2$, the solution space is a reproducing kernel Hilbert
space.
