Erratum to "Proper holomorphic mappings in the special class of Reinhardt domains" (Ann. Polon. Math. 92 (2007), 285-297)
Espace de Dixmier des opérateurs de Hankel sur les espaces de Bergman à poids
Nous donnons des résultats théoriques sur l’idéal de Macaev et la trace de Dixmier. Ensuite, nous caractérisons les symboles antiholomorphes tels que l’opérateur de Hankel sur l’espace de Bergman à poids soit dans l’idéal de Macaev et nous donnons la trace de Dixmier. Pour cela, nous regardons le comportement des normes de Schatten quand tend vers et nous nous appuyons sur le résultat de Engliš et Rochberg sur l’espace de Bergman. Nous parlons aussi des puissances de tels opérateurs. Abstract....
Essential norm of the difference of composition operators on Bloch space
Let and be holomorphic self-maps of the unit disk, and denote by , the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.
Essential norms of weighted composition operators from the -Bloch space to a weighted-type space on the unit ball.
Estimates for Derivates of Holomorphic Functions in Pseudoconvex Domains.
Estimates for the Bergman and Szegö projections for pseudoconvex domains of finite type with locally diagonalizable Levi form.
In this paper, we give precise isotropic and non-isotropic estimates for the Bergman and Szegö projections of a bounded pseudoconvex domain whose boundary points are all of finite type and with locally diagonalizable Levi form. Additional local results on estimates of invariant metrics are also given.
Estimates for the Bergman and Szegö projections in two symmetric domains of
Estimates for the Bergman kernel and metric of convex domains in ℂⁿ
Sharp geometrical lower and upper estimates are obtained for the Bergman kernel on the diagonal of a convex domain D ⊂ ℂⁿ which does not contain complex lines. It is also proved that the ratio of the Bergman and Carathéodory metrics of D does not exceed a constant depending only on n.
Estimates for the integral means of holomorphic functions on bounded domains in
Estimates for the Poisson kernels and a Fatou type theorem applications to analysis on Siegel domains
This is a short description of some results obtained by Ewa Damek, Andrzej Hulanicki, Richard Penney and Jacek Zienkiewicz. They belong to harmonic analysis on a class of solvable Lie groups called NA. We apply our results to analysis on classical Siegel domains.
Estimates of Invariant Metrics on Pseudoconvex Domains of Dimension Two.
Estimates of -harmonic conjugate operator.
Estimates of the Bergman kernel function on certain pseudoconvex domains in Cn.
Estimations du type Nevanlinna pour les applications non dégénérées de dans
Estimées Lipschitz dans les domaines convexes de type fini de C2.
Using explicit integral formulas introduced by Skoda, we obtain Hölder estimates for the δ-equation in convex domains of finite type in C2.
Exact Regularity of Bergman, Szegö and Sobolev Space Projections in Non Pseudoconvex Domains.
Exact regularity of the Bergman and Szegö projections on domains with partially transverse symmetries.
Examples of functions -extendable for each finite, but not -extendable
In Example 1, we describe a subset X of the plane and a function on X which has a -extension to the whole for each finite, but has no -extension to . In Example 2, we construct a similar example of a subanalytic subset of ; much more sophisticated than the first one. The dimensions given here are smallest possible.
Existence locale de solutions holomorphes pour les équations différentielles d'ordre infini
L’existence de solutions holomorphes locales d’équations aux dérivées partielles d’ordre infini à coefficients holomorphes de type spécial est étudiée.
Existence of Holomorphic Functions on Almost Complex Manifolds.