Analyticité globale pour ∂ ¯ b sur certaines hypersurfaces compactes de ℂ n

Isabelle Reizner

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)

  • Volume: 24, Issue: 4, page 719-746
  • ISSN: 0391-173X

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Reizner, Isabelle. "Analyticité globale pour $\bar{\partial }_b$ sur certaines hypersurfaces compactes de $\mathbb {C}^n$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 24.4 (1997): 719-746. <http://eudml.org/doc/84276>.

@article{Reizner1997,
author = {Reizner, Isabelle},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {global analyticity of },
language = {fre},
number = {4},
pages = {719-746},
publisher = {Scuola normale superiore},
title = {Analyticité globale pour $\bar\{\partial \}_b$ sur certaines hypersurfaces compactes de $\mathbb \{C\}^n$},
url = {http://eudml.org/doc/84276},
volume = {24},
year = {1997},
}

TY - JOUR
AU - Reizner, Isabelle
TI - Analyticité globale pour $\bar{\partial }_b$ sur certaines hypersurfaces compactes de $\mathbb {C}^n$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 24
IS - 4
SP - 719
EP - 746
LA - fre
KW - global analyticity of
UR - http://eudml.org/doc/84276
ER -

References

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  1. [1] S.C. Chen, Global real analyticity of solutions to the ∂-Neumann problem on Reinhardt domains, Indiana Univ. Math. J. 37 (1988), 421-430. Zbl0637.32016
  2. [2] M. Christ, The Szegö projection need not preserve global analyticity, Ann. of Math. (2) 143 (1996), 301-330. Zbl0851.32024MR1381988
  3. [3] M. Derridj, Régularité pour ∂ dans quelques domaines faiblement pseudoconvexes, J. Differential Geom.13 (1978), 559-576. Zbl0435.35057
  4. [4] M. Derridj - D.S. Tartakoff, On the global real analyticity for the ∂- Neumann problem, Comm. Partial Differential Equations5 (1993), 401-435. Zbl0441.35049
  5. [5] M. Derridj - D.S. Tartakoff, Global analyticity for □b on three dimensional pseudoconvex CR manifolds, Comm. in Partial Differential Equations18 (1993), 1847-1868. Zbl0791.35087
  6. [6] G.B. Folland - J.J. Kohn, The Neumann Problem for the Cauchy-Riemann Complex, Annals of Math. Studies, No.75, Princeton University Press, Princeton, 1972. Zbl0247.35093MR461588
  7. [7] L. Hörmander, An Introduction to Complex Analysis in Several Variables, D.Van Nostrand Publ. Co., Princeton, N.J., 1966. Zbl0138.06203MR203075
  8. [8] J.J. Kohn, The range of the Cauchy-Riemann operator, Duke Math. J.43 (1986), 525-545. Zbl0609.32015MR850548
  9. [9] I. Reizner, Analyticité globale pour ∂b sur certaines hypersurfaces compactes de Cn, C. R. Acad. Sci. Paris Sér. I-Math.321 (1995), 987-992. Zbl0858.32015
  10. [10] D.S. Tartakoff, Local Analytic Hypoellipticity for □ b on Non-Degenerate Cauchy-Riemann Manifolds, Proc. Nat. Acad. Sci. U.S.A. 75 (1978), 3027-3028. Zbl0384.35020
  11. [11] D.S. Tartakoff, Local real analyticity of solutions to □ b and ∂-Neumann, Acta. Math. 145 (1980), 117-204. Zbl0456.35019
  12. [12] F. Treves, Operators with Double Characteristcs and Application to the ∂-Neumann Problem, Comm. Partial Differential Equations3 (1978), 475-642. Zbl0384.35055

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