Outer ideals and division in A ∞ ( Ω )

Eric Amar

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 4, page 609-623
  • ISSN: 0391-173X

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Amar, Eric. "Outer ideals and division in $A^\infty (\Omega )$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.4 (1996): 609-623. <http://eudml.org/doc/84242>.

@article{Amar1996,
author = {Amar, Eric},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {outer ideals; Hardy spaces of holomorphic functions; inner and outer functions in several variables},
language = {eng},
number = {4},
pages = {609-623},
publisher = {Scuola normale superiore},
title = {Outer ideals and division in $A^\infty (\Omega )$},
url = {http://eudml.org/doc/84242},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Amar, Eric
TI - Outer ideals and division in $A^\infty (\Omega )$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 4
SP - 609
EP - 623
LA - eng
KW - outer ideals; Hardy spaces of holomorphic functions; inner and outer functions in several variables
UR - http://eudml.org/doc/84242
ER -

References

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  2. [2] E. Amar, Non Division dans A∞, Math. Z.188 (1985), 593-511. Zbl0547.32010
  3. [3] E. Amar, Division avec Singularités dans A∞, prépublication de l'Université de Bordeaux I., 8602, 1986. 
  4. [4] P. De Bartolomeis - G. Tomassini, Finitely generated ideals in A∞(D), Adv. Math.46 (1982), 162-170. Zbl0499.32012
  5. [5] E. Bierstone - P. Milman, Ideals of holomorphic functions with C∞ boundary values on a pseudo-convex domain, Trans. Amer. Math. Soc.304 (1) (1987), 323-342. Zbl0631.32015
  6. [6] J. Chaumat - A.M. Chollet, Caractérisation et propriétés des ensembles localement pics de A∞(D), Duke Math. J.47 (1980), 763-787. Zbl0454.32013
  7. [7] R. Gay - A. Sebbar, Division et Extension dans l'algèbre A∞ d'ouvert faiblement pseudoconvexe à bord lisse, Math. Z.189 (1985), 421-447. Zbl0547.32009
  8. [8] M. Hickel, Quelques résultats de division dans A∞, Ann. Scuola Norm. Sup. Pisa Cl. Sci40 (1988), 35-63. Zbl0683.46040
  9. [9] L. Hörmander, An introduction to complex analysis in several complex variables, Princeton University Press, Princeton, 1966. Zbl0138.06203
  10. [10] J.J. Kohn, Global Regularity of ∂ on weakly p. c. manifolds, Trans. Amer. Math. Soc.181 (1973), 273-292. Zbl0276.35071
  11. [11] B. Malgrange, Ideals of differentiable functions, Oxford University Press, Oxford, 1966. Zbl0177.17902MR212575
  12. [12] A. Nagel, On Algebras of holomorphic functions with C∞ boundary values, Duke Math. J.40 (1974), 527-535. Zbl0291.32023
  13. [13] M. Putinar, On dense ideals in space of analytic functions, Preprint, 1994. MR1313787
  14. [14] M. Putinar - N. Salinas, Analytic Transversality and Nullstellensatz in Bergman Space, Contemp. Math.137 (1992), 367-381. Zbl0784.47010MR1190997
  15. [15] W. Rudin, Real and Complex Analysis, McGraw-Hill, 1966. Zbl0142.01701MR210528
  16. [16] J-P. Serre, Algèbre Locale. Multiplicitès, Lecture Notes in Mathematics, Vol. 11, Springer-Verlag, Berlin - New York, 1965. Zbl0142.28603MR201468
  17. [17] J-C. Tougeron, Ideaux de fonctions differentiables, Ergbnisse der Mathematik, Vol. 71, Springer-Verlag, Berlin - New York, 1972. Zbl0251.58001MR440598

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