Abstract
An integral kernel approach is given for the proof of the theorem of Andreotti and Hill which states that the Y ( q ) Y(q) condition of Kohn is a sufficient condition for local solvability of the tangential Cauchy Riemann equations on a real hypersurface in C n {{\mathbf {C}}^n} . In addition, we provide an integral kernel approach to nonsolvability for a certain class of real hypersurfaces in the case when Y ( q ) Y(q) is not satisfied.
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