A kernel approach to the local solvability of the tangential Cauchy Riemann equations

Authors:
A. Boggess and M.-C. Shaw

Journal:
Trans. Amer. Math. Soc. **289** (1985), 643-658

MSC:
Primary 32F20; Secondary 35C15, 35N15

DOI:
https://doi.org/10.1090/S0002-9947-1985-0784007-7

MathSciNet review:
784007

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

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DOI:
https://doi.org/10.1090/S0002-9947-1985-0784007-7

Article copyright:
© Copyright 1985
American Mathematical Society