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

A. Boggess; M. C. Shaw

doi:10.1090/S0002-9947-1985-0784007-7

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

A. Boggess, M. C. Shaw

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	643-658
Number of pages	16
Journal	Transactions of the American Mathematical Society
Volume	289
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1985-0784007-7
State	Published - Jun 1985
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1985-0784007-7

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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 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.",

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AB - 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.

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

Abstract

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