Bulletin of the American Mathematical Society

Author(s): S. Bell
Journal: Bull. Amer. Math. Soc. 22 (1990), 233-259.
MSC (1985): Primary 30C35, 32H99, 35N15
MathSciNet review: 1040388
Retrieve article in: PDF

1.: 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
7.: 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
10.: S. Bell and E. Ligocka, A simplification and extension of Fefferman's theorem on biholomorphic mappings, Invent. Math. 57 (1980), 283-289. MR 568937
11.: S. Bergman, The kernel function and conformal mapping, Math. Surveys no. 5, Amer. Math. Soc. Providence, R. I., 1970. MR 507701
12.: D. Catlin, Necessary conditions for subellipticity of the $\bar \partial $-Neumann problem, Ann. of Math. (2) 117 (1983), 147-171. MR 683805
13.: D. Catlin, Boundary invariants of pseudoconvex domains, Ann. of Math. (2) 120 (1984), 529-586. MR 769163
14.: D. Catlin, Subelliptic estimates for the $øverline\partial$-Neumann problem on pseudoconvex domains, Ann. of Math. (2) 126 (1987), 131-191. MR 898054
15.: S. Chern and J. Moser, Real analytic hypersurfaces in complex manifolds, Acta Math. 133 (1974), 219-271. MR 425155
16.: J. D'Angelo, Real hypersurfaces, orders of contact, and applications, Ann. of Math. (2) 115 (1982), 615-637. MR 657241
17.: K. Diederich and J. E. Fornaess, Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions, Invent. Math. 39 (1977), 129-141. MR 437806
18.: K. Diederich and J. E. Fornaess, Boundary regularity of proper holomorphic mappings, Invent. Math. 67 (1982), 363-384. MR 664111
19.: K. Diederich and J. E. Fornaess, Proper holomorphic mappings between real-analytic pseudoconvex domains inCⁿ, Math. Ann. 282 (1988), 681-700. MR 970228
20.: C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1-65. MR 350069
21.: B. Fridman, An approximate Riemann mapping theorem in C, Math. Ann. 257(1986), 49-55. MR 849053
22.: R. Greene and S. Krantz, Biholomorphic self maps of domains, Lecture Notes in Math., vol. 1276, Springer-Verlag, Berlin and New York, 1987, pp. 136-207. MR 922321
23.: L. Hörmander, An introduction to complex analysis in several variables, North-Holland, Amsterdam, 1973. MR 344507
24.: N. Kerzman, A Monge-Ampère equation in complex analysis, Proc. Sympos. Pure Math., vol. 30, Amer. Math. Soc. Providence, R.I., 1977, pp. 161-167. MR 454082
25.: J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds. I, Ann. of Math. (2) 78 (1963), 112-148. MR 153030
26.: J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds. II, Ann. of Math. (2) 79 (1964), 450-472. MR 208200
27.: J. J. Kohn, A survey of the $\bar \partial $-Neumann problem, Proc. Sympos. Pure Math., vol. 41, Amer. Math. Soc. Providence, R.I., 1984, pp. 137-145. MR 740877
28.: S. Krantz, Function theory of several complex variables, Wiley-Interscience, New York, 1982. MR 635928
29.: H. Lewy, On the boundary behavior of holomorphic mappings, Acad. Naz. Lincei 35 (1977), 1-8.
30.: R. Narasimhan, Several complex variables, Chicago Lectures in Math., Chicago, III.-London, 1971. MR 342725
31.: Z. Nehari, Conformal mapping, Dover, New York, 1952. MR 45823
32.: L. Nirenberg, S. Webster, and P. Yang, Local boundary regularity of holomorphic mappings, Comm. Pure Appl. Math. 33 (1980), 306-338. MR 562738
33.: P. Painlevé, Sur les lignes singulières des functions analytiques, Thèse, Gauthier-Villars, Paris, 1887.
34.: S. Pinčuk, On proper holomorphic mappings of strictly pseudoconvex domains, Siberian Math. J. 15 (1974), 909-917. MR 355109
35.: S. Pinčuk, On the analytic continuation of holomorphic mappings, Math. USSR-Sb. 27 (1975), 375-392. MR 393562
36.: R. M. Range, Holomorphic functions and integral representations in several complex variables, Springer-Verlag, Berlin and New York, 1986. MR 847923
37.: J.-P. Rosay, Sur une caractérisation de la boule parmi les domains deCⁿ par son groupe d'automorphismes, Ann. Inst. Fourier (Grenoble) 29 (1979), 91-97. MR 558590
38.: J.-P. Rosay, Injective holomorphic mappings, Amer. Math. Monthly 89 (1982), 587-588. MR 674524
39.: W. Rudin, Function theory in the unit ball ofCⁿ, Springer-Verlag, Berlin and New York, 1980. MR 601594
40.: W. Rudin, Function theory in polydiscs, Benjamin, New York, 1969. MR 255841
41.: 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
43.: S. Webster, On the reflection principle in several complex variables, Proc. Amer. Math. Soc. 71 (1978), 26-28. MR 477138
44.: B. Wong, Characterization of the ball in C, Invent. Math. 41 (1977), 253-257. MR 492401

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