Global regularity of the ...-Neumann problem on circular domains.
Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds.
Global solvability for certain classes of underdetermined systems of vector fields.
Henkin-Ramirez formulas with weight factors
We construct a generalization of the Henkin-Ramírez (or Cauchy-Leray) kernels for the -equation. The generalization consists in multiplication by a weight factor and addition of suitable lower order terms, and is found via a representation as an “oscillating integral”. As special cases we consider weights which behave like a power of the distance to the boundary, like exp- with convex, and weights of polynomial decrease in . We also briefly consider kernels with singularities on subvarieties...
Hilbert-valued forms and barriers on weakly pseudoconvex domains.
We introduce an alternative proof of the existence of certain Ck barrier maps, with polynomial explosion of the derivatives, on weakly pseudoconvex domains in Cn. Barriers of this sort have been constructed very recently by J. Michel and M.-C. Shaw, and have various applications. In our paper, the adaptation of Hörmander's L2 techniques to suitable vector-valued functions allows us to give a very simple approach of the problem and to improve some aspects of the result of Michel and Shaw, regarding...
Hodge theory in the Sobolev topology for the de Rham complex on a smoothly bounded domain in Euclidean space.
Hölder and Lp estimates for the solutions of the ∂-equation in non-smooth strictly pseudoconvex domains.
Let D be a bounded strict pseudoconvex non-smooth domain in Cn. In this paper we prove that the estimates in Lp and Lipschitz classes for the solutions of the ∂-equation with Lp-data in regular strictly pseudoconvex domains (see [2]) are also valid for D. We also give estimates of the same type for the ∂b in the regular part of the boundary of these domains.
Hölder and Lp-Estimates for the ...-Equation on Non-Smooth strictly q-convex domains.
Hölderabschätzungen für Ableitungen von Lösungen der Gleichung ...= f bei streng pseudokonvem Rand.
Holomorphic Approximation and Hyperfunction Theory on a C1 Totally Real Submanifold of a Complex Manifold.
Holomorphic perturbation of a system of micro-differential equations
Hp-theory on Euclidean space and the Dirac operator.
Hypoelliptic systems of complex vector fields
Hypoellipticité pour l'opérateur ... .
Identity surfaces.
Inégalités à priori et estimation sous-elliptique pour ... dans des ouverts non pseudoconvexes.
Inégalités de Carleman et applications au
Integral kernels and Hölder estimates of ... on pseudoconvex domains of finite type in C2.
Integral Representation Formulas and Lp-Estimates for the ...-Equation.
Intégration des équations simultanées aux dérivées partielles du premier ordre d'une seule fonction