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Équation de Cauchy-Riemann dans les ellipsoïdes réels de $𝐂^{n}$

Emmanuel Mazzilli (1998)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Equivalence of Regularity for the Bergman Projection and the ...-Neumann operator.

Harold P. Boas, Emil J. Straube (1990)

Manuscripta mathematica

Estimates for a class of integral operators and appli-cations to the ?-Neumann problem.

L. Lieb, R.M. Range (1986)

Inventiones mathematicae

Estimates for the $\bar{\partial}$ -Neumann operator on strongly pseudo-convex domain with Lipschitz boundary.

Abdelkader, O., Saber, S. (2004)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Estimates of kernels on three-dimensional CR manifolds.

Charles L. Fefferman, Joseph J. Kohn (1988)

Revista Matemática Iberoamericana

Estimations höldériennes pour les equations de Cauchy-Riemann dans les convexes compacts de Cn.

Jacques Chaumat, Anne-Marie Chollet (1991)

Mathematische Zeitschrift

Estimations par composantes pour le probleme ?-Neumann pour quelques classes de domaines pseudoconvexes de Cn.

M. Derridj (1991)

Mathematische Zeitschrift

Estimées Lipschitz dans les domaines convexes de type fini de C2.

Éric Amar (1989)

Publicacions Matemàtiques

Using explicit integral formulas introduced by Skoda, we obtain Hölder estimates for the δ-equation in convex domains of finite type in C2.

Exact regularity of the Bergman and Szegö projections on domains with partially transverse symmetries.

So-Chin Chen, E.J. Straube, H. Boas (1988)

Manuscripta mathematica

Exact subelliptic estimates for n - 1 forms.

Lop-Hing Ho (1992)

Mathematische Zeitschrift

Existence and regularity of solutions of the $\bar{δ}$ -system on wedges of $C^{N}$

Giuseppe Zampieri (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

For a wedge $W$ of $C^{N}$ , we introduce two conditions of weak $q$ -pseudoconvexity, and prove that they entail solvability of the $\bar{δ}$ -system for forms of degree $\geq q + 1$ with coefficients in $C^{\infty} (W)$ and $C^{\infty} (\bar{W})$ respectively. Existence and regularity for $\bar{δ}$ in $W$ is treated by Hörmander [5, 6] (and also by Zampieri [9, 11] in case of piecewise smooth boundaries). Regularity in $W$ is treated by Henkin [4] (strong $q$ -pseudoconvexity by the method of the integral representation), Dufresnoy [3] (full pseudoconvexity), Michel [8] (constant...

Extension dans des classes de Hardy de fonctions holomorphes et estimations de type «mesures de Carleson» pour l’équation $\bar{\partial}$

Anne Cumenge (1983)

Annales de l'institut Fourier

Nous montrons qu’une fonction holomorphe sur un sous-ensemble analytique transverse $V$ d’un domaine $D$ borné strictement pseudoconvexe de $C^{n}$ admet une extension dans $H^{p} (D) (1 \leq p < + \infty)$ si et seulement si elle vérifie une condition de type $L^{p}$ à poids sur $V$ ; la démonstration est en partie basée sur la résolution de l’équation $\partial$ avec estimations de type “mesures de Carleson”.

Extension de formes ${\bar{\partial}}_{b}$ fermées et solutions de l’équation ${\bar{\partial}}_{b} u = f$

Eric Amar (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Extension of At-jets form holomorphic submanifolds.

Joaquín Ortega, Joan Fàbrega (1993)

Mathematische Zeitschrift

Extension of CR functions to «wedge type» domains

Andrea D'Agnolo, Piero D'Ancona, Giuseppe Zampieri (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Let $X$ be a complex manifold, $S$ a generic submanifold of $X^{R}$ , the real underlying manifold to $X$ . Let $Ω$ be an open subset of $S$ with $\partial Ω$ analytic, $Y$ a complexification of $S$ . We first recall the notion of $Ω$ -tuboid of $X$ and of $Y$ and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for ${\bar{\partial}}_{b}$ to the extendability of $C R$ functions on $Ω$ to $Ω$ -tuboids of $X$ . Next, if $X$ has complex dimension 2, we give results on extension...

Currently displaying 1 – 15 of 15

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