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Displaying 21 – 40 of 165

$C^{k}$ -estimates for the $\bar{\partial}$ -equation on concave domains of finite type

William Alexandre (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

$C^{k}$ estimates for convex domains of finite type in $ℂ^{n}$ are known from [7] for $k = 0$ and from [2] for $k > 0$ . We want to show the same result for concave domains of finite type. As in the case of strictly pseudoconvex domain, we fit the method used in the convex case to the concave one by switching $z$ and $ζ$ in the integral kernel of the operator used in the convex case. However the kernel will not have the same behavior on the boundary as in the Diederich-Fischer-Fornæss-Alexandre work. To overcome this problem...

$C^{k}$ -regularity for the $\bar{\partial}$ -equation on a piecewise smooth union of strictly pseudoconvex domains in $ℂ^{n}$

Joachim Michel, Alessandro Perotti (1994)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Canonical homotopy operators for the $\bar{\partial}$ complex in strictly pseudoconvex domains

Mats Andersson, Jörgen Boo, Joaquim Ortega-Cerdà (1998)

Bulletin de la Société Mathématique de France

Ck-Regularity for the ?-equation on Strictly Pseudoconvex Domains with Piecewise Smooth Boundaries.

Joachim Michel, Alessandro Perotti (1990)

Mathematische Zeitschrift

Cohomologie de dolbeault le long des feuilles de certains feuilletages complexes

Aziz El Kacimi Alaoui, Jihène Slimène (2010)

Annales de l’institut Fourier

La cohomologie de Dolbeault feuilletée mesure l’obstruction à résoudre le problème de Cauchy-Riemann le long des feuilles d’un feuilletage complexe. En utilisant des méthodes de cohomologie des groupes, nous calculons cette cohomologie pour deux classes de feuilletages : i) le feuilletage complexe affine de Reeb de dimension (complexe) 2 sur la variété de Hopf de dimension 5 ; ii) les feuilletages complexes sur le tore hyperbolique (fibration en tores de dimension n au-dessus d’un cercle et de monodromie...

Cohomology with $L^{p}$ -bounds on polycylinders.

Darko, P.W., Lutterodt, C.H. (1995)

International Journal of Mathematics and Mathematical Sciences

Convexité et equations de Cauchy-Riemann avec estimations Lp.

Corinne Jouenne (2000)

Publicacions Matemàtiques

We obtain a solution of the equation ∂u = f as an integral supported only on the bounded convex domain D of Cn, without finite type assumption.

Correction to my Paper "Intrinsic Lipschitz Classes on Manifolds with Applications to Complex Function Theory and Estimates for the ... and ... Equations". (Correction)

Steven G. Krantz (1979)

Manuscripta mathematica

Domaines a estimation maximale.

M. Derridj (1991)

Mathematische Zeitschrift

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...

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