On the real-analytic infinitesimal CR automorphism of hypersurfaces of   infinite type
  In this article, we consider a real smooth hypersurface $M\subset \mathbb C^2$, which is of infinite type at $p\in M$. The purpose of this paper is to show that the real vector space of tangential holomorphic vector field germs at $p$ vanishing at $p$ is either trivial or of real dimension $1$. 
Ninh Van Thu, Chu Van Tiep and Mai Anh Duc
math.CV