Estimates of the Bergman kernel function on certain pseudoconvex domains in Cn.
Estimates of the Kobayashi-Royden metric in almost complex manifolds
We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in and to give a sufficient condition for the complete hyperbolicity of a domain in .
Estimation of the Carathéodory distance on pseudoconvex domains of finite type whose boundary has Levi form of corank at most one
We study the class of smooth bounded weakly pseudoconvex domains D ⊂ ℂⁿ whose boundary points are of finite type (in the sense of J. Kohn) and whose Levi form has at most one degenerate eigenvalue at each boundary point, and prove effective estimates on the invariant distance of Carathéodory. This completes the author's investigations on invariant differential metrics of Carathéodory, Bergman, and Kobayashi in the corank one situation and on invariant distances on pseudoconvex finite type domains...
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 from linear subvarieties for the Bergman scale of spaces on convex domains
We study the problem of extending functions from linear affine subvarieties for the Bergman scale of spaces on convex finite type domains. Our results solve the problem for H¹(D). For other Bergman spaces the result is ϵ-optimal.
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.