|
Proper holomorphic mappings extend smoothly to the boundary
Author(s):
Steven
Bell;
David
Catlin
Journal:
Bull. Amer. Math. Soc.
7
(1982),
269-272.
MSC (1980):
Primary 32H99;
Secondary 32A40
MathSciNet review:
656209
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- 1.
- S. Bell, Biholomorphic mappings and the $\bar \partial $-problem, Ann. of Math. (2) 114 (1981), 103-113. MR 625347
- 2.
- S. Bell, Analytic hypoellipticity of the $\bar \partial $-Neumann problem and extendability of holomorphic mappings. Acta Math. 147 (1981), 109-116. MR 631091
- 3.
- S. Bell, Proper holomorphic mappings and the Bergman projection, Duke Math. J. 48 (1981), 167-175. MR 610182
- 4.
- S. Bell and D. Catlin, Boundary regularity of proper holomorphic mappings, Duke Math. J. 49 (1982). MR 659947
- 5.
- S. Bell and E. Ligocka, A simplification and extension of Fefferman's theorem on biholomorphic mappings, Invent. Math. 57 (1980), 283-289. MR 568937
- 6.
- K. Diederich and J. E. Fornaess, Pseudoconvex domains with real analytic boundary, Ann. of Math. (2) 107 (1978), 371-384. MR 477153
- 7.
- C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1-65. MR 350069
- 8.
- J. E. Fornaess, personal communication.
- 9.
- J. E. Fornaess, Biholomorphic mappings between weakly pseudoconvex domains, Pacific J. Math. 74 (1978), 63-65. MR 481111
- 10.
- M. Golubitsky and V. Guillemin, Stable mappings and their singularities, Springer-Verlag, Heidelberg, 1973. MR 341518
- 11.
- J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds. I and II, Ann. of Math. (2) 78 (1963), 112-148; 79 (1964), 450-472.
- 12.
- J. J. Kohn, Subellipticity of the $\bar \partial $-Neumann problem on pseudoconvex domains: sufficient conditions, Acta Math. 142 (1979), 79-122. MR 512213
- 13.
- R. M. Range, The Carathéodory metric and holomorphic maps on a class of weakly pseudoconvex domains, Pacific J. Math. 78 (1978), 173-189. MR 513293
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1980):
32H99, 32A40
Retrieve articles in all Journals with MSC
(1980):
32H99, 32A40
Additional Information:
DOI:
10.1090/S0273-0979-1982-15031-5
PII:
S 0273-0979(1982)15031-5
|
