Équation de Cauchy-Riemann dans les ellipsoïdes réels de
Equivalence of Regularity for the Bergman Projection and the ...-Neumann operator.
Estimates for a class of integral operators and appli-cations to the ?-Neumann problem.
Estimates for the -Neumann operator on strongly pseudo-convex domain with Lipschitz boundary.
Estimates of kernels on three-dimensional CR manifolds.
Estimations höldériennes pour les equations de Cauchy-Riemann dans les convexes compacts de Cn.
Estimations par composantes pour le probleme ?-Neumann pour quelques classes de domaines pseudoconvexes de Cn.
Estimées Lipschitz dans les domaines convexes de type fini de C2.
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.
Exact subelliptic estimates for n - 1 forms.
Existence and regularity of solutions of the -system on wedges of
For a wedge of , we introduce two conditions of weak -pseudoconvexity, and prove that they entail solvability of the -system for forms of degree with coefficients in and respectively. Existence and regularity for in is treated by Hörmander [5, 6] (and also by Zampieri [9, 11] in case of piecewise smooth boundaries). Regularity in is treated by Henkin [4] (strong -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
Nous montrons qu’une fonction holomorphe sur un sous-ensemble analytique transverse d’un domaine borné strictement pseudoconvexe de admet une extension dans si et seulement si elle vérifie une condition de type à poids sur ; la démonstration est en partie basée sur la résolution de l’équation avec estimations de type “mesures de Carleson”.
Extension de formes fermées et solutions de l’équation
Extension of At-jets form holomorphic submanifolds.
Extension of CR functions to «wedge type» domains
Let be a complex manifold, a generic submanifold of , the real underlying manifold to . Let be an open subset of with analytic, a complexification of . We first recall the notion of -tuboid of and of 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 to the extendability of functions on to -tuboids of . Next, if has complex dimension 2, we give results on extension...