no. 3
Precise regularity up to the boundary of proper holomorphic mappings
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 20 (1993) no. 3, pp. 461-482 
@article{ASNSP_1993_4_20_3_461_0,
     author = {Coupet, Bernard},
     title = {Precise regularity up to the boundary of proper holomorphic mappings},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {461--482},
     year = {1993},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 20},
     number = {3},
     mrnumber = {1256077},
     zbl = {0812.32011},
     language = {en},
     url = {https://www.numdam.org/item/ASNSP_1993_4_20_3_461_0/}
}
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Coupet, Bernard. Precise regularity up to the boundary of proper holomorphic mappings. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 20 (1993) no. 3, pp. 461-482. https://www.numdam.org/item/ASNSP_1993_4_20_3_461_0/

[Al] H. Alexander, Proper holomorphic mappings in Cn. Indiana Univ. Math. J. 26 (1977), 137-146. | Zbl | MR

[Al-Ba-Ro] S. Alinhac - M.S. Baouendi - L. Rothchild, Unique continuation and regularity at the boundary for holomorphic functions. To appear. | Zbl

[Be-Li] S. Bell - E. Ligocka, A simplification and extension of Fefferman's theorem on biholomorphic mappings. Invent. Math. 57 (1980), 283-289. | Zbl | MR

[Co1] B. Coupet, Régularité de fonctions holomorphes sur des sous-variétés totalement réelles maximales. Structure des espaces de Bergman. Thèse d'état (1987), Marseille.

[Co2] B. Coupet, Régularité de fonctions holomorphes sur des wedges. Canad. J. Math. XL3 (1988), 532-545. | Zbl | MR

[Co3] B. Coupet, Construction de disques analytiques et régularité de fonctions holomorphes au bord. Math. Z. 209 (1992), 179-204. | Zbl | MR

[Er] B. Errike, The relation between the solid modulus of continuity and the modulus of continuity along the Shilov boundaries for analytic functions of several variables. Math. USSR-Sb. 50 (1985), 495-511. | Zbl

[Fe] C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math. 26 (1974), 1-65. | Zbl | MR

[Fo-Lo] J.E. Fornaess - E. Low, Proper holomorphic mappings. Math. Scand. 58 (1986), 311-322. | Zbl | MR

[Fo] F. Forstneric, Proper holomorphic mappings: A survey. Preprint Series Dept. Math. Univ. E.T. Lubjana. | MR

[Gi-Tr] D. Gilbarg - N.S. Trudinger, Elliptic Partial Differential Equations of Second Order. Springer Verlag 1977. | Zbl | MR

[Gr] I. Graham, Boundary behavior of the Caratheodory and Kobayashi metrics on strongly pseudoconvex domains in Cn with smooth boundary. Trans. Amer. Math. Soc. 207 (1975), 219-240. | Zbl | MR

[Ha] S.V. Hasanov, Correspondence of boundaries under biholomorphic maps in Cn. Sib. Math. J. 29 (1989), 462-467. | Zbl

[Ha-Pi] S.V. Hasanov - S. Pinchuk, Asymptotically holomorphic functions and their applications. Math. USSR-Sb. 62 (1989), 541-550. | Zbl | MR

[He] G.M. Henkin, An analytic polyedron is not holomorphically equivalent to a strictly pseudoconvex domain. Soviet Math. Dokl. 14 (1973), 858-862. | Zbl | MR

[Kr] S.G. Krantz, Function Theory of Several Complex Variables. Wiley-Interscience, Pure and Appl. Math. Series, 1982. | Zbl | MR

[Le] L. Lempert, A precise result on the boundary regularity of biholomorphic mappings. Math. Z. 193 (1986), 559-579. | Zbl | MR

[Li] E. Ligocka, The Hölder continuity of the Bergman projection and proper holomorphic mappings. Studia Math. 80 (1984), 89-107. | Zbl | MR

[Lw] H. Lewy, On the boundary behavior of holomorphic mappings. Acad. Waz. Linei 35 (1977), 1-8.

[Ni-We-Ya] L. Nirenberg - S. Webster - P. Yang, Local boundary regularity of holomorphic mappings. Comm. Pure Appl. Math. 33 (1980), 305-328. | Zbl | MR

[Pi1] S. Pinchuk, On the analytic continuation of biholomorphic mappings. Math. USSR-Sb. 27 (1975), 375-392. | Zbl

[Pi2] S. Pinchuk, Holomorphic inequivalence of some classes of domain in Cn. Math. USSR-Sb. 39 (1981), 61-86. | Zbl

[Pi3] S. Pinchuk, The scaling method and holomorphic mappings. AMS Summer Research Institute on several complex variables and complex geometry, Santa-Cruz, California, July 1989. | Zbl

[Ra] R.M. Range, Holomorphic Functions and Integral Representation in Several Complex Variables. Springer-Verlag. | Zbl | MR

[Ro] J.P. Rosay, A propos de "wedges" et d' "edges" et de prolongements holomorphes. Trans. Amer. Math. Soc. 29 (1986), 63-72. | Zbl | MR

[Ru1] W. Rudin, Function Theory in Polydiscs. W.A. Benjamin Inc., 1969. | Zbl | MR

[Ru2] W. Rudin, Function Theory on the Unit Ball of Cn. Springer, New-York, 1980. | Zbl | MR

[Si] N. Sibony, A class of hyperbolic manifolds in Recent Developments in Several Complex Variables, J.E. Fornaess ed., Annals of Mathematics Studies, Princeton University Press, 1981. | Zbl | MR

[St] E.M. Stein, Singular Integrals and Differentiability Properties of Functions. Princeton University Press, Princeton 1970. | Zbl | MR

[Str] E. Straube, Interpolation between Sobolev and between Lipschitz spaces of analytic functions on starshaped domains. Trans. Amer. Math. Soc. 316 (1989), 653-671. | Zbl | MR

[We] S. Webster, On the reflection principle in several complex variables. Proc. Amer. Math. Soc. 71 (1978), 26-28. | Zbl | MR