  The Zakharov system in dimension $d=2,3$ is shown to have a local unique
solution for any initial values in the energy space $H^{s} \times H^{l} \times
H^{l-1}$, where the range of regularity $(s, l)$ is extended, especially at
$s=l-1$. The result is obtained mainly by the normal form reduction and the
Strichartz estimates.
