Duke Mathematical Journal

A reflection principle for degenerate real hypersurfaces

Article information

Source
Duke Math. J., Volume 47, Number 4 (1980), 835-843.

Dates
First available in Project Euclid: 20 February 2004

https://projecteuclid.org/euclid.dmj/1077314339

Digital Object Identifier
doi:10.1215/S0012-7094-80-04749-3

Mathematical Reviews number (MathSciNet)
MR596117

Zentralblatt MATH identifier
0451.32008

Subjects
Primary: 32F25
Secondary: 32H99: None of the above, but in this section

Citation

Diederich, K.; Webster, S. M. A reflection principle for degenerate real hypersurfaces. Duke Math. J. 47 (1980), no. 4, 835--843. doi:10.1215/S0012-7094-80-04749-3. https://projecteuclid.org/euclid.dmj/1077314339

References

• [1] S. Bell and E. Ligocko, A simplification and extension of Fefferman's theorem on biholomorphic mappings, to appear.
• [2] J. D'Angelo, Real hypersurfaces with degenerate Levi form, thesis, Princeton University, 1976.
• [3] K. Diederich and J. Fornaess, Pseudoconvex domains with real-analytic boundary, Ann. Math. (2) 107 (1978), no. 2, 371–384.
• [4] R. Gunning and H. Rossi, Analytic functions of several complex variables, Prentice-Hall Inc., Englewood Cliffs, N.J., 1965.
• [5] J. J. Kohn, Subellipticity of the $\bar \partial$-Neumann problem on pseudo-convex domains: sufficient conditions, Acta Math. 142 (1979), no. 1-2, 79–122.
• [6] J. J. Kohn and L. Nirenberg, A pseudo-convex domain not admitting a holomorphic support function, Math. Ann. 201 (1973), 265–268.
• [7] H. Lewy, On the boundary behavior of holomorphic mappings, Contrib. Centro Linceo Inter. Sc. Mat. e Loro Appl. Acad. Naz. dei Lincei 35 (1977), 1–8.
• [8] R. Narasimhan, Several complex variables, The University of Chicago Press, Chicago, Ill.-London, 1971.
• [9] L. Nirenberg, S. Webster, and P. Yang, Local boundary regularity of holomorphic mappings, Comm. Pure Appl. Math. 33 (1980), no. 3, 305–338.
• [10] S. I. Pinčuk, On the analytic continuation of biholomorphic mappings, Math. Sb. 27 (1975), no. 3, 375–392.
• [11] S. M. Webster, On the reflection principle in several complex variables, Proc. Amer. Math. Soc. 71 (1978), no. 1, 26–28.
• [12] S. M. Webster, Biholomorphic mappings and the Bergman kernel off the diagonal, Invent. Math. 51 (1979), no. 2, 155–169.
• [13] H. Whitney, Complex analytic varieties, Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1972.
• [14] C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1–65.