Inégalités de Carleman et extension locale des fonctions holomorphes

M. Derridj

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1982)

  • Volume: 9, Issue: 4, page 645-669
  • ISSN: 0391-173X

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Derridj, M.. "Inégalités de Carleman et extension locale des fonctions holomorphes." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 9.4 (1982): 645-669. <http://eudml.org/doc/83894>.

@article{Derridj1982,
author = {Derridj, M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Cauchy-Riemann equations},
language = {fre},
number = {4},
pages = {645-669},
publisher = {Scuola normale superiore},
title = {Inégalités de Carleman et extension locale des fonctions holomorphes},
url = {http://eudml.org/doc/83894},
volume = {9},
year = {1982},
}

TY - JOUR
AU - Derridj, M.
TI - Inégalités de Carleman et extension locale des fonctions holomorphes
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1982
PB - Scuola normale superiore
VL - 9
IS - 4
SP - 645
EP - 669
LA - fre
KW - Cauchy-Riemann equations
UR - http://eudml.org/doc/83894
ER -

References

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  1. [1] A. Andreotti - C.D. Hill, E.E. Levi convexity and the Hans Lewy problem. Part I : Reduction to vanishing theorems, Ann. Scuola Norm. Sup. Pisa, 26 (1972), pp. 325-363. Zbl0256.32007MR460725
  2. [2] A. Andreotti - E. Vesentini, Carleman estimates for the Laplace Beltrami equation on complex manifolds, Inst. Hautes Études Sci. Publ. Math., vol. 24-25. Zbl0138.06604MR175148
  3. [3] E. Bedford - J.E. Fornaess, Local extension of C.R. functions from weakly pseudo-convex boundaries, Michigan Math. J., 25 (1978), pp. 259-262. Zbl0401.32007MR512898
  4. [4] J.J. Kohn - H. Rossi, On the extension of holomorphic functions from the boundary of a complex manifold, Ann. of Math., 81 (1965), pp. 451-472. Zbl0166.33802MR177135
  5. [5] L. Hörmander, L2-estimates and existence theorems for the ∂-operator, Acta Math.113 (1965), pp. 89-152. Zbl0158.11002
  6. [6] L. Hörmander, Introduction to complex analysis in several variables, Van Nostrand (1968). Zbl0138.06203MR203075
  7. [7] H. Lewy, On the local character ..., Ann. of Math., 64 (1956), pp. 514-522. Zbl0074.06204MR81952
  8. [8] R. Nirenberg, On the H. Lewy extension phenomenon, Trans. Amer. Math. Soc., 468 (1972), pp. 337-356. Zbl0241.32006MR301234
  9. [9] R.O. Wells, On the local holomorphic hull..., Comm. Pure Appl. Math., 19 (1966), pp. 145-165. Zbl0142.33901MR197785
  10. [10] M. Landucci, Solutions with precise compact support, Bull. Soc. Math. France, 104 (1980), pp. 273-299. Zbl0444.32011MR592472

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