Embedding theorems and Kahlerity for 1-convex spaces.
Endlichkeits- und Verschwindungssätze für (schwach-) konstruierbare Garbenkomplexe auf komplexen Räumen.
Erratum to "Effective formulas for invariant functions - case of elementary Reinhardt domains" (Ann. Polon. Math. 69 (1998), 175-196)
Estimates of Invariant Metrics on Pseudoconvex Domains of Dimension Two.
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...
Extending Families of Pseudoconcave Complex Spaces.
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 -forms and related problems
Extension of germs of holomorphic isometries up to normalizing constants with respect to the Bergman metric
We study the extension problem for germs of holomorphic isometries up to normalizing constants between bounded domains in Euclidean spaces equipped with Bergman metrics on and on . Our main focus is on boundary extension for pairs of bounded domains such that the Bergman kernel extends meromorphically in to a neighborhood of , and such that the analogous statement holds true for the Bergman kernel on . Assuming that and are complete Kähler manifolds, we prove that the germ...
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. II.
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.
Extremal plurisubharmonic functions and invariant pseudodistances
Fibrati principali su spazi complessi -completi
Fields of CR meromorphic functions
Finiteness and separation theorems for Dolbeault cohomologies with support conditions
Foliations and the generalized complex Monge-Ampère equations
Foliations with complex leaves
Let be a smooth foliation with complex leaves and let be the sheaf of germs of smooth functions, holomorphic along the leaves. We study the ringed space . In particular we concentrate on the following two themes: function theory for the algebra and cohomology with values in .
Formule d'homotopie pour un domaine à bord (q+k)-concave d'une variété CR générique et q-concave. Applications
We give a homotopy formula for the operator on a domain with (q+k)-concave boundary. As a consequence we show that the dimension of the -cohomology groups for some CR manifolds q-concave at infinity is finite.
Funtorialità di una classe di domini -Runge