ON THE CONVERGENCE OF THE BAOUENDI-TREVES APPROXIMATION FORMULA

In this work we prove the convergence of the Baouendi-Treves Approxima tion Formula in several functional and distributional spaces, includin g the L-p. Sobolev, Holder. Besov and Hardy spaces. We also present, a s applications, a precise geometric description of bounded measurable solutions of a complex vector field satisfying the Nirenberg-Treves co ndition (P) and a result about holomorphic extension of L-p CR-functio ns to one side of a real hypersurface Omega subset of Cn+1, generalizi ng within the framework of L-p spaces a well known theorem of Hans Lew y.