Estimations limites pour la solution canonique de l'équation ...u = f.
Estimations par composantes pour le probleme ?-Neumann pour quelques classes de domaines pseudoconvexes de Cn.
Every Stein Subvariety Admits a Stein Neighborhood
Extending holomorphic maps in infinite dimensions
Studying the sequential completeness of the space of germs of Banach-valued holomorphic functions at a points of a metric vector space some theorems on extension of holomorphic maps on Riemann domains over topological vector spaces with values in some locally convex analytic spaces are proved. Moreover, the extendability of holomorphic maps with values in complete C-spaces to the envelope of holomorphy for the class of bounded holomorphic functions is also established. These results are known in...
Extension and decomposition operators in products of strictly pseudoconvex sets
Extension and Decomposition with Local Boundary Regularity Properties in Pseudoconvex Domains.
Extension and restriction of holomorphic functions
Strong pathologies with respect to growth properties can occur for the extension of holomorphic functions from submanifolds of pseudoconvex domains to all of even in quite simple situations; The spaces are, in general, not at all preserved. Also the image of the Hilbert space under the restriction to can have a very strange structure.
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 of At-jets form holomorphic submanifolds.
Extension of complex structures on weakly pseudoconvex compact complex manifolds with boundary.
Extension of Proper Holomorphic Mappings Past the Boundary.
Fonction de Green pluricomplexe et mesures pluriharmoniques
Fonctions plurisousharmoniques d'exhaustion bornées et domaines taut.
Formulas for approximate solutions of the ∂∂`-equation in a strictly pseudoconvex domain.
Let D be a bounded strictly pseudoconvex domain in Cn. We construct approximative solution formulas for the equation i∂∂`u = θ, θ being an exact (1,1)-form in D. We show that our formulas give simple proofs of known estimates and indicate further applications.
Geometry of hypersurfaces and mapping theorems in Cn.
Global boundary regularity for the -equation on -pseudo-convex domains
For a bounded domain of , we introduce a notion of «-pseudoconvexity» of new type and prove that for a given -closed -form that is smooth up to the boundary on , and for , there exists a -form smooth up to the boundary on which is a solution of the equation
Global Real Analyticity of Solutions to the ...-Neumann Problem.
Global regularity of the ...-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (p).
Global regularity of the ...-Neumann problem on circular domains.
Growth Properties of Pseudo-Convex Domains and Domains of Holomorphy in Locally Convex Topological Vector Spaces.