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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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 extensions of orthogonal projections into holomorphic functions
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by J. J. Kohn PDF
Proc. Amer. Math. Soc. 52 (1975), 333-336 Request permission

Abstract:

A condition is given which insures that the orthogonal projection of a function into the holomorphic functions is holomorphically extendible across a given boundary point.
References
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  • J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds. I, II, Ann. of Math. (2) 78 (1963), 112-148; ibid. 79 (1964), 450-472. MR 27 #2999; 34 #8010.
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  • Stefan Bergman, The Kernel Function and Conformal Mapping, Mathematical Surveys, No. 5, American Mathematical Society, New York, N. Y., 1950. MR 0038439
  • E. M. Stein, Boundary behavior of holomorphic functions of several complex variables, Mathematical Notes, No. 11, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1972. MR 0473215
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 52 (1975), 333-336
  • MSC: Primary 32H10
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0399520-3
  • MathSciNet review: 0399520