Interpolation Gevrey dans les domaines de type fini de ℂ 2

Vincent Thilliez

Banach Center Publications (1995)

  • Volume: 31, Issue: 1, page 359-365
  • ISSN: 0137-6934

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Thilliez, Vincent. "Interpolation Gevrey dans les domaines de type fini de $ℂ^2$." Banach Center Publications 31.1 (1995): 359-365. <http://eudml.org/doc/262878>.

@article{Thilliez1995,
author = {Thilliez, Vincent},
journal = {Banach Center Publications},
keywords = {Gevrey interpolation; finite type domain},
language = {fre},
number = {1},
pages = {359-365},
title = {Interpolation Gevrey dans les domaines de type fini de $ℂ^2$},
url = {http://eudml.org/doc/262878},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Thilliez, Vincent
TI - Interpolation Gevrey dans les domaines de type fini de $ℂ^2$
JO - Banach Center Publications
PY - 1995
VL - 31
IS - 1
SP - 359
EP - 365
LA - fre
KW - Gevrey interpolation; finite type domain
UR - http://eudml.org/doc/262878
ER -

References

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  1. [Bl] T. Bloom, C ∞ peak functions for pseudoconvex domains of strict type, Duke Math. J. 45 (1978), 133-147. 
  2. [BO] J. Bruna and J. M. Ortega, Interpolation by holomorphic functions smooth to the boundary in the unit ball of ℂ n , Math. Ann. 274 (1986), 527-575. Zbl0585.32018
  3. [Ca] D. Catlin, Estimates of invariant metrics on weakly pseudoconvex domains of dimension two, Math. Z. 200 (1989), 429-466. Zbl0661.32030
  4. [CC1] J. Chaumat et A.-M. Chollet, Ensemble de zéros et d'interpolation à la frontière de domaines strictement pseudoconvexes, Ark. Mat. 24 (1985), 27-57. Zbl0601.32016
  5. [CC2] J. Chaumat et A.-M. Chollet, Classes de Gevrey non isotropes et application à l'interpolation, Ann. Scuola Norm. Sup. Pisa 15 (1988), 615-676. Zbl0689.32009
  6. [CC3] J. Chaumat et A.-M. Chollet, Noyaux pour résoudre l’équation ∂̅ dans des classes ultradifférentiables sur des compacts irréguliers de ℂ n , Proc. Mittag-Leffler Inst. 1987/1988, Math. Notes 38, Princeton Univ. Press, Princeton, 1993. 
  7. [CC4] J. Chaumat et A.-M. Chollet, Dimension de Hausdorff des ensembles de zéros et d’interpolation pour A ∞ ( D ) , Trans. Amer. Math. Soc. 299 (1987), 95-114. 
  8. [Ch] A.-M. Chollet, Zéros dans les classes de Gevrey de type analytique, Bull. Sci. Math. 96 (1972), 65-82. Zbl0231.30003
  9. [GrSt] P. C. Greiner and E. M. Stein, Estimates for the ∂̅-Neumann Problem, Princeton Univ. Press, 1977. 
  10. [NSW] A. Nagel, E. M. Stein and S. Wainger, Boundary behavior of functions holomorphic in domains of finite type, Proc. Nat. Acad. Sci. U.S.A. 78 (1981), 6596-6599. Zbl0517.32002
  11. [St] E. M. Stein, Singular integrals and estimates for the Cauchy-Riemann equations, Bull. Amer. Math. Soc. 79 (1973), 440-445. Zbl0257.35040
  12. [T1] V. Thilliez, Classes de Gevrey non isotropes dans les domaines de type fini de ℂ 2 , J. Analyse Math. 60 (1993), 259-305. 
  13. [T2] V. Thilliez, Interpolation Gevrey dans les domaines de type fini de ℂ 2 , Math. Z. 212 (1993), 555-580. 

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