Regularity of the (partial derivative)over-bar operator and Siu's theorem about the non-existence of Levi-flat hypersurfaces in the complex projective space CPn, n >= 3

摘要

We give a variant of the proof of Y.-T Sin's theorem concerning the non-existence of Levi-flat real hypersurface of Sobolev class W-s, s > 9/2, in CPn, n >= 3.