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Regularity of CR maps between convex hypersurfaces of finite type
Author(s):
Bernard
Coupet;
Hervé
Gaussier;
Alexandre
Sukhov
Journal:
Proc. Amer. Math. Soc.
127
(1999),
3191-3200.
MSC (1991):
Primary 32H40, 32H99;
Secondary 32F40, 32G07, 32H15, 32H35, 32M99
Posted:
April 27, 1999
MathSciNet review:
1610940
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Abstract:
We study rigidity and regularity properties of CR maps between smooth convex hypersurfaces of finite type in 
References:
- 1.
- E.Bedford, S.Pinchuk, Domains in
 with noncompact automorphism group, Math.USSR Sbornik 63 (1989), 141-151. MR 92f:32024 - 2.
- E.Bedford, S.Pinchuk, Convex domains with noncompact automorphism group, Matem. Sb. 185-5 (1994), 3-26. MR 95e:32037
- 3.
- S.Bell, Local regularity of CR homeomorphisms, Duke Math. J. 57 (1988), 295-300. MR 89f:32026
- 4.
- S.Bell, D.Catlin, Regularity of CR mappings, Math. Zeit. 199 (1988), 357-368. MR 89i:32028
- 5.
- D.Catlin, Boundary invariants of pseudoconvex domains, Ann. Math. 120 (1984), 529-586. MR 86c:32019
- 6.
- B.Coupet, S.Pinchuk, A.Sukhov, On boundary rigidity and regularity of holomorphic mappings, Intern. J. Math. 7-5 (1996), 617-643. MR 97k:32043
- 7.
- B.Coupet, A.Sukhov, On CR mappings between pseudoconvex hypersurfaces of finite type in
 Duke Math. J. 88-2 (1997), 281-304. MR 98d:32031 - 8.
- K.Diederich, G.Herbort, Pseudoconvex domains of semiregular type, Contributions to complex analysis and analytic geometry, Vieweg Braunschweig (1994), 127-161. MR 96b:32019
- 9.
- J.E.Fornaess, N.Sibony, Construction of P.S.H. functions on weakly pseudoconvex domains, Duke Math. J. 58 (1989), 633-656. MR 90m:32034
- 10.
- H.Gaussier, Characterization of convex domains with noncompact automorphism group, Mich. J. Math. 44-2 (1997), 375-388. CMP 97:15
- 11.
- J.D.McNeal, Convex domains of finite type, J. Funct. Anal. 108 (1992), 361-373. MR 93h:32020
- 12.
- D.Mumford, Algebraic geometry I. Complex projective varieties, Springer Verlag (1976). MR 56:11992
- 13.
- L.Nirenberg, S.Webster, P.Yang, Local boundary regularity of holomorphic mappings, Comm. Pure Appl. Math. 33 (1980), 305-338. MR 81g:32020
- 14.
- S.Pinchuk, On the analytic continuation of holomorphic mappings, Math. USSR Sbornik 27 (1975), 375-392.
- 15.
- S.Pinchuk, Sh. Tsyganov, Smoothness of CR mappings between strictly pseudoconvex hypersurfaces, Math. USSR Izvestija 35 (1990), 457-467. MR 90j:32022
- 16.
- N.Sibony, Une classe de domaines pseudoconvexes, Duke Math. J. 55-2 (1987), 299-319. MR 88g:32036
- 17.
- A.Sukhov, On boundary regularity of holomorphic mappings, Russian Acad. Sci. Sb. Math. 83-2 (1995), 541-551.
- 18.
- S.Webster, On the mapping problem for algebraic real hypersurfaces, Invent. math. 43 (1977), 53-68. MR 57:3431
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MSC (1991):
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Additional Information:
Bernard
Coupet
Affiliation:
CMI (Center of Mathematics & Information), University of Provence, 39 rue Joliot-Curie, 13453 Marseille Cedex 13, France
Hervé
Gaussier
Affiliation:
CMI (Center of Mathematics & Information), University of Provence, 39 rue Joliot-Curie, 13453 Marseille Cedex 13, France
Alexandre
Sukhov
Affiliation:
CMI (Center of Mathematics & Information), University of Provence, 39 rue Joliot-Curie, 13453 Marseille Cedex 13, France
DOI:
10.1090/S0002-9939-99-04908-4
PII:
S 0002-9939(99)04908-4
Keywords:
Finite type,
scaling method,
CR map,
boundary regularity
Received by editor(s):
January 15, 1998
Posted:
April 27, 1999
Communicated by:
Steven R. Bell
Copyright of article:
Copyright
1999,
American Mathematical Society
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