Classes de Gevrey non isotropes et application à l'interpolation
Jacques Chaumat; Anne-Marie Chollet
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1988)
- Volume: 15, Issue: 4, page 615-676
- ISSN: 0391-173X
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topChaumat, Jacques, and Chollet, Anne-Marie. "Classes de Gevrey non isotropes et application à l'interpolation." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 15.4 (1988): 615-676. <http://eudml.org/doc/84046>.
@article{Chaumat1988,
author = {Chaumat, Jacques, Chollet, Anne-Marie},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {pseudoconvexity; boundary interpolation; nonisotropic Gevrey classes},
language = {fre},
number = {4},
pages = {615-676},
publisher = {Scuola normale superiore},
title = {Classes de Gevrey non isotropes et application à l'interpolation},
url = {http://eudml.org/doc/84046},
volume = {15},
year = {1988},
}
TY - JOUR
AU - Chaumat, Jacques
AU - Chollet, Anne-Marie
TI - Classes de Gevrey non isotropes et application à l'interpolation
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1988
PB - Scuola normale superiore
VL - 15
IS - 4
SP - 615
EP - 676
LA - fre
KW - pseudoconvexity; boundary interpolation; nonisotropic Gevrey classes
UR - http://eudml.org/doc/84046
ER -
References
top- [1] H. Alexander - B.A. Taylor - D.L. Williams, The interpolating sets for A∞, J. Math. Anal. Appl.36 n° 1 (1971), 556-566. Zbl0228.46051
- [2] J. Bruna, An extension theorem of Whitney type for non-quasianalytic classes of functions, J. London Math. Soc. (2) 22 (1980), 495-505. Zbl0419.26010MR596328
- [3] J. Bruna - J. Ma Ortega, Interpolation by holomorphic functions smooth to the boundary in the Unit ball of Cn, Math. Ann.274 (1986), 527-575. Zbl0585.32018MR848501
- [4] H. Cartan, Calcul différentiel, Hermann-Paris (1967). Zbl0156.36102MR223194
- [5] J. Chaumat - A.M. Chollet, Ensembles de zéros et d'interpolation à la frontière de domaines strictement pseudoconvexes, Ark. Mat.24 (1986), 27-57. Zbl0601.32016MR852825
- [6] J. Chaumat - A.M. Chollet, Propriété de divisions par des fonctions de A∞ (D), Bull. Soc. Math. France114 (1986), 153-174. Zbl0603.32011
- [7] J. Chaumat - A.M. Chollet, Classes de Gevrey non-isotropes et application à l'interpolation, C.R. Acad. Sc. Paris304 n° 17 (1987), 531-533. Zbl0616.32017MR892882
- [8] R.R. Coifman - G. Weiss, Analyse harmonique non commutative sur certains espaces homogènes, Springer-Verlag (1971).. Zbl0224.43006MR499948
- [9] M. Derridj - D. Tartakov, Sur la régularité locale des solutions du problème de Neumann pour ∂, Lecture Notes in Math. 578, Séminaire Pierre Lelong (1975-76), 207-216. Zbl0358.35056
- [10] E.M. Dyn'kin, Pseudoanalytic extension of smooth functions. The Uniform Scale, Amer. Math. Soc. Transl. (2) 115 (1980), 33-58. Zbl0478.30039
- [11] E.M. Dyn'kin - S.V. Hruscev, Interpolation by analytic functions smooth up to the boundary, J. Soviet. Math.14 (1980), 1066-1077. Zbl0442.30035
- [12] G.B. Folland - E.M. Stein, Hardy spaces on Homogeneous groups, Mathematical NotesPrinceton University Press, (1982). Zbl0508.42025MR657581
- [13] G.M. Henkin - J. Leiterer, Theory of functions on complex Manifolds, Monographs in MathematicsBirkhaüser (1984). Zbl0573.32001MR795028
- [14] O. Liess - L. Rodino, Inhomogeneous Gevrey classes and related pseudodifferential operators, Bollettino U.M.I. Analisi Funzionale e Applicazioni Série VI vol. III (1984), 233-323. Zbl0557.35131MR749292
- [15] J. Michel, Communication personelle, Wuppertal, (1986).
- [16] E.M. Stein, Singular integrals and estimates for the Cauchy Riemann Equations, Bull. Amer. Math. Soc.79 (1973), 440-445. Zbl0257.35040MR315302
- [17] M.S. Baouendi - C. Goulaouic, Régularité analytique et itérés d'opérateurs elliptiques dégénérés, applications. J. Funct. Analysis9 (1972), 208-248. Zbl0243.35044MR298471
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