Um Teorema de Extensão CR para uma Classe de Hipersuperfícies Reais

It is known that not every CR function admits a holomorphic extension. This paper proposes a new CR extension theorem for the hypersurface $\left\{(z, w) \in \C^2; \mbox{Im} \ z = \phi(w, \overline{w}) \right\}$, with conditions on the function $\phi: \C^2 \longrightarrow \C$. The proof of this fact is based on Hans Lewy's Extension Theorem as well as on the properties of the Levi form of the hypersurface.