Extension of At-jets form holomorphic submanifolds.
Mixed-norm spaces and interpolation
Let D be a bounded strictly pseudoconvex domain of with smooth boundary. We consider the weighted mixed-norm spaces of holomorphic functions with norm . We prove that these spaces can be obtained by real interpolation between Bergman-Sobolev spaces and we give results about real and complex interpolation between them. We apply these results to prove that is the intersection of a Besov space with the space of holomorphic functions on D. Further, we obtain several properties of the mixed-norm...
Convergence in nonisotropic regions of harmonic functions in
We study the boundedness in of the projections onto spaces of functions with spectrum contained in horizontal strips. We obtain some results concerning convergence along nonisotropic regions of harmonic extensions of functions in with spectrum included in these horizontal strips.
Sur une extension du problème de Gleason dans les domaines pseudoconvexes
Dans cet article on montre que toute a une décomposition avec pour les domaines pseudoconvexes à frontière réelle-analytique et aussi pour les domaines pseudoconvexes pour lesquels le résultat soit valable localement.
On quotients of holomorphic funtions in the dics with boundary regularity conditions.
In this paper we give characterizations of those holomorphic functions in the unit disc in the complex plane that can be written as a quotient of functions in A(D), A(D) or Λ(D) with a nonvanishing denominator in D. As a consequence we prove that if f ∈ Λ(D) does not vanish in D, then there exists g ∈ Λ(D) which has the same zero set as f in Dbar and such that fg ∈ A(D).
Study of some properties of ocean waves using random models.
[unknown]
Topología grassmaniana sobre los ideales cerrados de codimensión finita de un álgebra de Banach conmutativa.
Interpolación en espacios de Bergman-Sobolev.
Interpolation by Holomorphic Functions Smooth to the Boundary in the Unit Ball of Cn.
Weighted Sobolev spaces in complex ellipsoids
Sobre las Algebras localmente convexas.
Division and extension in weighted Bergman-Sobolev spaces.
Let D be a bounded strictly pseudoconvex domain of Cn with C ∞ boundary and Y = {z; u1(z) = ... = ul(z) = 0} a holomorphic submanifold in the neighbourhood of D', of codimension l and transversal to the boundary of D. In this work we give a decomposition formula f = u1f1 + ... + ulfl for functions f of the Bergman-Sobolev space...
Page 1