C` Solvability of the ­ System on Wedges of CN

We prove existence of C` solutions of the ­ system on open wedges of CN under a very general condition of weak q-pseudocon¨exity. The method relies on the L2-estimates by H¨ormander and in our generalization previously introduced in G. Zampieri, 1998, J. Anal. Math. 74, 99]111.. Let us point out that in spite of the only slight improvements in the estimates, much stronger existence theorems are obtained. The ­ problem for wedges of CN is extensively treated in the literature cf. G. M. Henkin and J. Leiterer, 1988, Andreotti]Grauert Theory by Integral Formulas, Progress in Math., Vol. 74, Birkh¨auser and the references cited therein.. However the usual approach employs integral representations rather than L2 estimates.