Integral-type operators from spaces to Zygmund-type spaces on the unit ball.
Integrated density of states of self-similar Sturm–Liouville operators and holomorphic dynamics in higher dimension
Intégration de classes de cohomologie méromorphes et diviseurs d'incidence
Intégration des équations de Cauchy-Riemann induites formelles
Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques
Soit une fonction sous-analytique de à valeurs dans Nous montrons que l’intégrale est une fonction log-analytique de Nous en déduisons que le volume -dimensionnel des éléments d’une famille sous-analytique de sous-ensembles sous-analytiques globaux de l’espace euclidien est une fonction log-analytique de Un corollaire de ce résultat est le caractère log-analytique de la fonction densité -dimensionnelle d’un sous-analytique global de dimension en tout point de sa fermeture topologique....
Intégration d'ordre supérieur sur les cycles en géométrie analytique complexe
Integration of cocycles and Lefschetz number formulae for differential operators.
Interaction de strates consécutives pour les cycles évanescents
Intermediate holomorphy
Internal characteristics of domains in ℂⁿ
This paper is devoted to internal capacity characteristics of a domain D ⊂ ℂⁿ, relative to a point a ∈ D, which have their origin in the notion of the conformal radius of a simply connected plane domain relative to a point. Our main goal is to study the internal Chebyshev constants and transfinite diameters for a domain D ⊂ ℂⁿ and its boundary ∂D relative to a point a ∈ D in the spirit of the author's article [Math. USSR-Sb. 25 (1975), 350-364], where similar characteristics have been investigated...
Interpolación en espacios de Bergman-Sobolev.
Interpolating discrete multiplicity varieties for
A necessary and sufficient condition is obtained for a discrete multiplicity variety to be an interpolating variety for the space .
Interpolating sequences, Carleson measures and Wirtinger inequality
Let S be a sequence of points in the unit ball of ℂⁿ which is separated for the hyperbolic distance and contained in the zero set of a Nevanlinna function. We prove that the associated measure is bounded, by use of the Wirtinger inequality. Conversely, if X is an analytic subset of such that any δ -separated sequence S has its associated measure bounded by C/δⁿ, then X is the zero set of a function in the Nevanlinna class of . As an easy consequence, we prove that if S is a dual bounded sequence...
Interpolating sequences in the unit ball of
Interpolating sequences of complex hyperplanes in the unit ball of
A sufficient condition is given to make a sequence of hyperplanes in the complex unit ball an interpolating sequence for , i.e. bounded holomorphic functions on the hyperplanes can be boundedly extended.
Interpolating varieties for weighted spaces of entire functions in Cn.
We prove in this paper that a given discrete variety V in Cn is an interpolating variety for a weight p if and only if V is a subset of the variety {ξ ∈ Cn: f1(ξ) = f2(ξ) = ... = fn(ξ) = 0} of m functions f1, ..., fm in the weighted space the sum of whose directional derivatives in absolute value is not less than ε exp(-Cp(ζ)), ζ ∈ V for some constants ε, C > 0. The necessary and sufficient conditions will be also given in terms of the Jacobian matrix of f1, ..., fm. As a corollary, we solve...
Interpolation by holomorphic functions in the unit ball with polynomial growth
Interpolation by Holomorphic Functions Smooth to the Boundary in the Unit Ball of Cn.
Interpolation de fonctions analytiques bornées
Interpolation d'opérateurs entre espaces de fonctions holomorphes
Let be a compact subset of an hyperconvex open set , forming with D a Runge pair and such that the extremal p.s.h. function ω(·,K,D) is continuous. Let H(D) and H(K) be the spaces of holomorphic functions respectively on D and K equipped with their usual topologies. The main result of this paper contains as a particular case the following statement: if T is a continuous linear map of H(K) into H(K) whose restriction to H(D) is continuous into H(D), then the restriction of T to is a continuous...