On estimates for the $\displaystyle \bar \partial $ equation in Stein manifolds.
Résumé
We generalize to intersection of strictly $c$ -convex domains in Stein manifold,
$ L^{r}-L^{s}$ and Lipschitz estimates for the
solutions of the $ \bar \partial $ equation done
by Ma and Vassiliadou for domains in $ {\mathbb{C}}^{n}.$
For this we use a Docquier-Grauert holomorphic retraction plus
the raising steps method I introduce earlier. This gives results
in the case of domains with low regularity, $ {\mathcal{C}}^{3},$ for their boundary.
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