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

Albert Boggess, M. C. Shaw

Research output: Contribution to journalArticle

16 Citations (Scopus)

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 - 1985
Externally publishedYes

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Cauchy-Riemann Equations
Local Solvability
Real Hypersurfaces
kernel
Sufficient Conditions
Theorem
Class

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

A kernel approach to the local solvability of the tangential cauchy riemann equations. / Boggess, Albert; Shaw, M. C.

In: Transactions of the American Mathematical Society, Vol. 289, No. 2, 1985, p. 643-658.

Research output: Contribution to journalArticle

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