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Mapping problems in complex analysis and the $\overline \partial$-problem
Author:
S. Bell
Journal:
Bull. Amer. Math. Soc. 22 (1990), 233-259
MSC (1985):
Primary 30C35, 32H99, 35N15
MathSciNet review:
1040388
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References |
Similar Articles |
Additional Information
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- H. Alexander, Proper holomorphic mappings inCn, Indiana Math. J. 26 (1977), 137-146. MR 422699
- 2.
- M. S. Baouendi, H. Jacobowitz, and F. Treves, On the analyticity of CR mappings, Ann. of Math. (2) 122 (1985), 365-400. MR 808223
- 3.
- M. S. Baouendi and L. P. Rothschild, Germs of CR maps between real analytic hypersurfaces, Invent. Math. 93 (1988), 481-500. MR 952280
- 4.
- D. Barrett, Irregularity of the Bergman projection on a smooth bounded domain inCn, Ann. of Math. (2) 119 (1984), 431-436. MR 740899
- 5.
- E. Bedford, Proper holomorphic mappings, Bull. Amer. Math. Soc. (N.S.) 10(1984), 157-175. MR 733691
- 6.
- S. Bell, Biholomorphic mappings and the $\bar \partial $-problem, Ann. of Math. (2) 114 (1981), 103-113. MR 625347
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- S. Bell, Analytic hypoellipticity of the $\bar \partial $-Neumann problem and extendability of holomorphic mappings, Acta Math. 147 (1981), 109-116. MR 631091
- 8.
- S. Bell and D. Catlin, Boundary regularity of proper holomorphic mappings, Duke Math. J. 49 (1982), 385-396. MR 659947
- 9.
- S. Bell and S. Krantz, Smoothness to the boundary of conformal maps, Rocky Mountain J. Math. 17 (1987), 23-40. MR 882882
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- S. Bell and E. Ligocka, A simplification and extension of Fefferman's theorem on biholomorphic mappings, Invent. Math. 57 (1980), 283-289. MR 568937
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- S. Bergman, The kernel function and conformal mapping, Math. Surveys no. 5, Amer. Math. Soc. Providence, R. I., 1970. MR 507701
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- D. Catlin, Necessary conditions for subellipticity of the $\bar \partial $-Neumann problem, Ann. of Math. (2) 117 (1983), 147-171. MR 683805
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- D. Catlin, Boundary invariants of pseudoconvex domains, Ann. of Math. (2) 120 (1984), 529-586. MR 769163
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- K. Diederich and J. E. Fornaess, Proper holomorphic mappings between real-analytic pseudoconvex domains inCn, Math. Ann. 282 (1988), 681-700. MR 970228
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- W. Rudin, Function theory in the unit ball ofCn, Springer-Verlag, Berlin and New York, 1980. MR 601594
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- W. Rudin, Function theory in polydiscs, Benjamin, New York, 1969. MR 255841
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- E. M. Stein, Boundary behavior of holomorphic functions of several complex variables, Math. Notes, no. 1, Princeton Univ. Press, Princeton, N.J., 1972. MR 473215
- 42.
- S. Webster, Biholomorphic mappings and the Bergman kernel off the diagonal, Invent. Math. 51 (1979), 155-169. MR 528021
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- B. Wong, Characterization of the ball in C, Invent. Math. 41 (1977), 253-257. MR 492401
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1990-15879-3
PII:
S 0273-0979(1990)15879-3
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