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Bonami, Aline; Charpentier, Ph.

Solutions de l’équation \(\bar\partial\) et zéros de la classe de Nevanlinna dans certains domaines faiblement pseudo-convexes. (French) Zbl 0493.32005

Ann. Inst. Fourier 32, No. 4, 53-89 (1982).
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Cited in 12 Documents

MSC:

32A30 Other generalizations of function theory of one complex variable
30D50 Blaschke products, etc. (MSC2000)
32W05 \(\overline\partial\) and \(\overline\partial\)-Neumann operators
32T99 Pseudoconvex domains

Keywords:

Blaschke condition; Nevanlinna class; delta-equations; d-bar equation
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References:

[1] [1] and , Foundation of Mechanics, The Benjamin Cummings Publ. Cny (1978). · Zbl 0393.70001
[2] [2] et , Projecteurs de Bergman et Szegö pour une classe de domaines faiblement pseudo-convexes, A paraître dans Compositio Mathematica. · Zbl 0538.32005
[3] [3] , Formules explicites pour les solutions minimales de l’équation ∂u = f dans la boule et dans le polydisque de Cn, Ann. Inst. Fourier, 30 (1980), 121-154. · Zbl 0425.32009
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[5] [5] and , Fundamental solutions in complex analysis, Duke Math. J., 46 (1979). · Zbl 0441.35043
[6] [6] , Lewy’s equation and analysis on pseudoconvex manifolds. I, Russian Math. Surveys, 32 (1977). · Zbl 0382.35038
[7] [7] , Lewy’s equation and analysis on a pseudoconvex manifolds, II. Math. USSR Sb., 31 (1977), 63-94. · Zbl 0388.35052
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[9] [9] , Fonctions plurisousharmoniques et formes différentielles positives, Paris, Dunod, 1968. · Zbl 0195.11603
[10] [10] , On Hölder estimates for Zu = f on weakly pseudoconvex domains, Several complex variables, Cortona 1976-1977, Scuola Norm. Sup., Pisa (1978), 247-268. · Zbl 0421.32021
[11] [11] , Théorie des distributions, Paris, Hermann. · Zbl 0962.46025
[12] [12] , Valeurs au bord pour les solutions de l’équation Z et caractérisation des zéros des fonctions de la classe de Nevanlinna, Bull. Soc. Math. France, 104 (1976), 225-299. · Zbl 0351.31007
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