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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Holomorphic mappings of domains with generic corners
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by S. M. Webster PDF
Proc. Amer. Math. Soc. 86 (1982), 236-240 Request permission

Abstract:

The boundary behavior of a biholomorphic mapping $f$ between two domains with real analytic, generic, nondegenerate corners in ${{\mathbf {C}}^n}$ is considered. Under certain minimal regularity assumptions on $f$ it is shown that $f$ continues holomorphically past the boundary.
References
    H. Lewy, On the boundary behavior of holomorphic mappings, Contrib. Centro Linceo Inter. Sc. Mat. e Loro Appl. No. 35, Acad. Naz. dei Lincei, 1977, pp. 1-8. L. Nirenberg, S. Webster and P. Yang, Local boundary regularity of holomorphic mappings, Comm. Pure Appl. Math. 33 (1980), 305-338. S. I. Pinchuk, On the analytic continuation of biholomorphic mappings, Math. Sb. 27 (3) (1975), 375-392. W. Rudin, Lectures on the edge-of-the-wedge theorem, CBMS Regional Conf. Ser. in Math., no. 6, Amer. Math. Soc., Providence, R. I., 1971. S. Webster, On the reflection principle in several complex variables, Proc. Amer. Math. Soc., 72 (1978), 26-28.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 236-240
  • MSC: Primary 32H99; Secondary 32D99
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0667281-X
  • MathSciNet review: 667281