Kernels for the local solvability of the tangential Cauchy-Riemann equations



Duke Mathematical Journal

Kernels for the local solvability of the tangential Cauchy-Riemann equations

Al Boggess

Source: Duke Math. J. Volume 47, Number 4 (1980), 903-921.

First Page PDF: View first page of article (PDF, 102 KB)

Primary Subjects: 32F25
Secondary Subjects: 32F20, 35N15

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077314341
Mathematical Reviews number (MathSciNet): MR596119
Zentralblatt MATH identifier: 0456.32013
Digital Object Identifier: doi:10.1215/S0012-7094-80-04751-1

References

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[B] A. Boggess, Kernels for the tangential Cauchy Riemann equations, Rice University thesis, May 1979, To appear in Trans. Amer. Math. Soc.
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[FK] G. B. Folland and J. J. Kohn, The Neumann problem for the Cauchy-Riemann complex, Princeton University Press, Princeton, N.J., 1972.
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[HP]1 R. Harvey and J. Polking, Fundamental solutions in complex analysis. I. The Cauchy-Riemann operator, Duke Math. J. 46 (1979), no. 2, 253–300.
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Digital Object Identifier: doi:10.1215/S0012-7094-79-04613-1
Project Euclid: euclid.dmj/1077313404
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[L] J. Leray, Le calcul différentiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III), Bull. Soc. Math. France 87 (1959), 81–180.
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[PW] John C. Polking and R. O. Wells, Jr., Boundary values of Dolbeault cohomology classes and a generalized Bochner-Hartogs theorem, Abh. Math. Sem. Univ. Hamburg 47 (1978), 3–24.
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[R] A. V. Romanov, A formula and estimates for the solutions of the tangential Cauchy-Riemann equation, Mat. Sb. (N.S.) 99(141) (1976), no. 1, 58–83, 135, English translation in Math. USSR Sb, 28 (1976).
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