A kernel approach to the local solvability of the tangential cauchy riemann equations

A. Boggess, M. C. Shaw

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)643-658
Number of pages16
JournalTransactions of the American Mathematical Society
Volume289
Issue number2
DOIs
StatePublished - Jun 1985
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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