On the coefficient multipliers of Bloch and Hardy spaces in a polydisk.
On the dual space of a weighted Bergman space on the unit ball of .
On the extension in the Hardy classes and the Nevanlinna class
On the Hahn-Banach Extension Property in Hardy and Mixed Norm Spaces on the Unit Ball.
On the Toëplitz corona problem.
The aim of this note is to characterize the vectors g = (g1, . . . ,gk) of bounded holomorphic functions in the unit ball or in the unit polydisk of Cn such that the Corona is true for them in terms of the H2 Corona for measures on the boundary.
On values of homogeneous polynomials in discrete sets of points
Optimal Quadrature Algorithms in Hp Spaces.
Projecteurs de Bergman et Szegö pour une classe de domaines faiblement pseudo-convexes et estimations
Removable singularities for H... and for analytic functions with bounded Dirichlet integral.
Some applications of geometry of Banach spaces to harmonic analysis
Some inequalities of isoperimetric type for the integral means of analytic functions
Subsets of Hardy-class zero sets in the ball.
We consider the problem of whether the union of complex hyperplanes can be a subset of a zero variety for the Hardy classes of the ball. A sufficient condition is found, consisting in a strong geometric separatedness requirement, together with a quantitative requirement slightly stronger than the necessary condition for Nevanlinna class zero varieties.
Sur un problème de W. Rudin concernant les fonctions holomorphes et borneés
Tangential characterizations of BMOA on strictly pseudoconvex domains.
The Bergman projection on harmonic functions
The class of holomorphic functions representable by Carleman formula
The corona theorem for the ball and polydisc.
The diagonal mapping in mixed norm spaces
For any holomorphic function F in the unit polydisc Uⁿ of ℂⁿ, we consider its restriction to the diagonal, i.e., the function in the unit disc U of ℂ defined by F(z) = F(z,...,z), and prove that the diagonal mapping maps the mixed norm space of the polydisc onto the mixed norm space of the unit disc for any 0 < p < ∞ and 0 < q ≤ ∞.
The Hölder continuity of the Bergman projection and proper holomorphic mappings
The Iversen theorem in a polydisc.