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Proper holomorphic mappings between real-analytic pseudoconvex domains inC n

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References

  1. D'Angelo, J.: Real hypersurfaces, orders of contact, and applications. Ann. Math.115, 615–637 (1982)

    Google Scholar 

  2. Baouendi, M.S., Bell, S., Rothschild, L.P.:CR mappings of finite multiplicity and extension of proper holomorphic mappings. Bull. AMS16, 265–270 (1987)

    Google Scholar 

  3. Baouendi, M.S., Bell, S.R., Rothschild, L.P.: Mappings of three-dimensionalCR-manifolds and their holomorphic extension. Duke Math. J.56, 503–530 (1988)

    Google Scholar 

  4. Baouendi, M.S., Jacobowitz, H., Treves, F.: On the analyticity ofCR mappings. Ann. Math.122, 365–400 (1985)

    Google Scholar 

  5. Bedford, E., Bell, S.: Extension of proper holomorphic mappings past the boundary. Manuscr. Math.50, 1–10 (1985)

    Google Scholar 

  6. Bedford, E., Fornæss, J.E.: Extension ofCR-functions from weakly pseudoconvex boundaries. Mich. Math. J.25, 259–262 (1978)

    Google Scholar 

  7. Bell, S.: Proper holomorphic mappings and the Bergman projection. Duke Math. J.48, 167–175 (1981)

    Article  Google Scholar 

  8. Bell, S.: Analytic hypoellipticity of the\(\bar \partial\)-Neumann problem and extendability of holomorphic mappings. Acta Math.147, 109–116 (1981)

    Google Scholar 

  9. Bell, S., Catlin, D.: Boundary regularity of proper holomorphic mappings. Duke Math. J.49, 385–396 (1982)

    Google Scholar 

  10. Catlin, D.: Necessary conditions for subellipticity of the\(\bar \partial\)-Neumann problem. Ann. Math.117, 147–171 (1983)

    Google Scholar 

  11. Derridj, M.: Prolongement local d'applications holomorphes propres en des points faiblement pseudoconvexes. Preprint Orsay 1984

  12. Derridj, M.: Le preincipe de réflexion en des points de faible pseudo-convexité pour des applications holomorphes propres. Invent. Math.79, 197–215 (1985)

    Google Scholar 

  13. Derridj, M.: Multitype et prolongement d'applications holomorphes. Preprint Orsay 1985

  14. Derridj, M.: Sur le prolongement d'applications holomorphes. Sémin. Goualouic-Schwartz, Equations Dériv. Partielles, exposé XVI (1985–86)

  15. Diederich, K., Fornæss, J.E.: Pseudoconvex domains: Existence of Stein neighborhoods. Duke Math. J.44, 642–662 (1977)

    Google Scholar 

  16. Diederich, K., Fornæss, J.E.: Pseudoconvex domains with real-analytic boundary. Ann. Math.107, 371–384 (1978)

    Google Scholar 

  17. Diederich, K., Fornæss, J.E.: Boundary regularity of proper holomorphic mappings. Invent. Math.67, 363–384 (1982)

    Google Scholar 

  18. Diederich, K., Webster, S.M.: A reflection principle for degenerate real hypersurface. Duke Math. J.47, 835–843 (1980)

    Google Scholar 

  19. Han, C.K.: Analyticity ofCR-equivalences between some real hypersurfaces inC n with degenerate Levi forms. Invent. Math.73, 51–69 (1983)

    Google Scholar 

  20. Kohn, J.J.: Subellipticity of the\(\bar \partial\)-Neumann problem on pseudoconvex domains: sufficient conditions. Acta Math.142, 79–122 (1979)

    Google Scholar 

  21. Lewy, H.: On the boundary behavior of holomorphic mappings. Acad. Naz. Linc.35, 1–8 (1977)

    Google Scholar 

  22. Maingot, S.: Prolongement d'applications holomorphes propres. C.R. Acad. Sci. Paris303, 399–402 (1986)

    Google Scholar 

  23. Pincuk, S.J.: On the analytic continuation of biholomorphic mappings. Mat. Sb.98, 416–435 (1975); Math. USSR Sb.27, 375–392 (1975)

    Google Scholar 

  24. Trépreau, J.M.: Sur le prolongement des fonctionsCR definis sur une hypersurface réele de classeC 2 dansC n. Invent. Math.83, 583–592 (1986)

    Google Scholar 

  25. Webster, S.M.: On the mapping problem for algebraic real hypersurfaces. Invent. Math.43, 53–68 (1977)

    Article  Google Scholar 

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Diederich, K., Fornæss, J.E. Proper holomorphic mappings between real-analytic pseudoconvex domains inC n . Math. Ann. 282, 681–700 (1988). https://doi.org/10.1007/BF01462892

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