Integral representations of analytic functions in unbounded domains with determining manifolds.
Integral representations on weakly pseudoconvex domains.
Integral transforms for divisors in and solutions of systems of PDE’s
Intégrales singulières holomorphes
Integral-type operators from a mixed norm space to a Bloch-type space on the unit ball.
Integral-type operators from spaces to Zygmund-type spaces on the unit ball.
Intermediate holomorphy
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...
Interpolation Gevrey dans les domaines de type fini de
Interpolation Gevrey dans les domaines de type fini de C2.
Interpolation in Weakly Pseudoconvex Domains in C2.