A Kernel Approach to the Local Solvability of the Tangential Cauchy Riemann Equations

A. Boggess, M.-C. Shaw
1985 Transactions of the American Mathematical Society  
An integral kernel approach is given for the proof of the theorem of Andreotti and Hill which states that the Y(q) condition of Kohn is a sufficient condition for local solvability of the tangential Cauchy Riemann equations on a real hypersurface in C". In addition, we provide an integral kernel approach to nonsolvability for a certain class of real hypersurfaces in the case when Y(q) is not satisfied.
doi:10.2307/2000256 fatcat:lvgniaxbl5fpxhkxd2xz2wlxle