Solutions de l'équation \(\bar\partial\) et zéros de la classe de Nevanlinna dans certains domaines faiblement pseudo-convexes

DOI10.5802/aif.894zbMath0493.32005OpenAlexW2324576323MaRDI QIDQ1168454

Aline Bonami, Philippe Charpentier

Publication date: 1982

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1982__32_4_53_0

zbMATH Keywords

Nevanlinna classBlaschke conditiond-bar equationdelta-equations

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Other generalizations of function theory of one complex variable (32A30) Pseudoconvex domains (32T99)

Related Items

Zero varieties for the Nevanlinna class in weakly pseudoconvex domains of maximal type \(F\) in \(\mathbb {C}^2\) ⋮ Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\) ⋮ The explicit solutions of \(C_{p,q}^{k+\alpha}\)-form for the \(\overline{\partial}\)-equations on pseudoconvex open sets ⋮ Zero sets of \(\mathcal H^p\) functions in convex domains of finite type ⋮ Lp‐Estimates for the ∂¯b‐equation on a class of infinite type domains ⋮ Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains ⋮ Estimates for solutions of the \(\bar\partial\)-equation and application to the characterization of the zero varieties of the functions of the Nevanlinna class for lineally convex domains of finite type ⋮ Optimal Lipschitz estimates for the \(\bar\partial\) equation on a class of convex domains ⋮ On Hardy spaces in complex ellipsoids ⋮ A REMARK ON A QUESTION OF LEMPERT–HENKIN ⋮ Unnamed Item ⋮ Caractérisations des zéros des fonctions de certaines classes de type Nevanlinna dans le bidisque

Cites Work

• Formules explicites pour les solutions minimales de l'équation \(\overline\partial u=f\) dans la boule et dans le polydisque de \(\mathbb C^n\)
• Fundamental solutions in complex analysis. I. The Cauchy Riemann operator
• Valeurs au bord pour les solutions de l'opérateur $d^n$, et caractérisation des zéros des fonctions de la classe de Nevanlinna
• THE LEWY EQUATION AND ANALYSIS ON PSEUDOCONVEX MANIFOLDS
• H. LEWY'S EQUATION AND ANALYSIS ON A PSEUDOCONVEX MANIFOLD. II
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