Uniform boundary regularity of proper holomorphic maps

Wilhelm Klingenberg

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1990)

  • Volume: 17, Issue: 3, page 355-364
  • ISSN: 0391-173X

How to cite

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Klingenberg, Wilhelm. "Uniform boundary regularity of proper holomorphic maps." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.3 (1990): 355-364. <http://eudml.org/doc/84078>.

@article{Klingenberg1990,
author = {Klingenberg, Wilhelm},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {proper holomorphic maps; boundary regularity},
language = {eng},
number = {3},
pages = {355-364},
publisher = {Scuola normale superiore},
title = {Uniform boundary regularity of proper holomorphic maps},
url = {http://eudml.org/doc/84078},
volume = {17},
year = {1990},
}

TY - JOUR
AU - Klingenberg, Wilhelm
TI - Uniform boundary regularity of proper holomorphic maps
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1990
PB - Scuola normale superiore
VL - 17
IS - 3
SP - 355
EP - 364
LA - eng
KW - proper holomorphic maps; boundary regularity
UR - http://eudml.org/doc/84078
ER -

References

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  1. [1] S. Bell, Compactness of families of holomorphic mappings up to the boundary, Springer LNM1268, 29-42. Zbl0633.32020
  2. [2] S. Bell, A generalization of Cartan's Theorem to proper holomorphic mappings, J. Math. Pures Appl., 67, 1988, 85-92. Zbl0638.32025
  3. [3] S. Bell, Proper holomorphic mappings and the Bergman kernel function, Duke Math. J.48 (1981), 167-175. Zbl0465.32014
  4. [4] S. Bell, Differentiability of the Bergman kernel and pseudo-local estimates, to appear in Math. Zeit. Zbl0594.32025
  5. [5] S. Bell - D. Catlin, Boundary regularity of proper holomorphic mappings, Duke Math. J.49 (1982), 385-396. Zbl0475.32011
  6. [6] J. D'Angelo, Real hypersurfaces, orders of contact, and applications, Ann. of Math.115 (1982), 615-637. Zbl0488.32008
  7. [7] K. Diederich - J.E. Fornaess, Boundary regularity of proper holomorphic mappings, Invent. Math.67 (1982), 363-384. Zbl0501.32010
  8. [8] G. Folland, Introduction to Partial Differential Equations, Princeton University Press, Princeton1976. Zbl0325.35001
  9. [9] N. Kerzman, The Bergman kernel function: Differentiability at the boundary, Math. Ann.195 (1972), 149-158. Zbl0216.10503
  10. [10] W. Klingenberg - S. Pinchuk, Normal families of proper holomorphic correspondences, University of Minnesota Mathematics Report #88-113. Zbl0735.32019
  11. [11] R. Narasimhan, Several complex variables, Chicago Lectures in Mathematics, University of Chicago Press (1971). Zbl0223.32001
  12. [12] H. Whitney, Complex Analytic Varieties, Addison Wesley, Reading, Mass., 1972. Zbl0265.32008

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