On an Estimate of Axler and Shapiro.
On Decomposition Theorems for Hardy Spaces on Domains in ... and Applications.
On Hardy spaces in complex ellipsoids
This paper deals with atomic decomposition and factorization of functions in the holomorphic Hardy space . Such representation theorems have been proved for strictly pseudoconvex domains. The atomic decomposition has also been proved for convex domains of finite type. Here the Hardy space was defined with respect to the ordinary Euclidean surface measure on the boundary. But for domains of finite type, it is natural to define with respect to a certain measure that degenerates near Levi-flat points...
On Hardy spaces on worm domains
In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does not preserve Sobolev spaces of sufficiently high order and we highlight which difficulties arise in studying the same problem for the Szeg˝o projection. Finally, we announce and discuss the results we have obtained so far in the setting of non-smooth...
On Hardy-Lipschitz spaces
On -harmonic space .
On highly nonintegrable functions and homogeneous polynomials
We construct a sequence of homogeneous polynomials on the unit ball in which are big at each point of the unit sphere . As an application we construct a holomorphic function on which is not integrable with any power on the intersection of with any complex subspace.
On linear extension for interpolating sequences
Let A be a uniform algebra on X and σ a probability measure on X. We define the Hardy spaces and the interpolating sequences S in the p-spectrum of σ. We prove, under some structural hypotheses on A and σ, that if S is a “dual bounded” Carleson sequence, then S is -interpolating with a linear extension operator for s < p, provided that either p = ∞ or p ≤ 2. In the case of the unit ball of ℂⁿ we find, for instance, that if S is dual bounded in then S is -interpolating with a linear...
On M-harmonic space Bsp
On some characterizations of Carleson type measure in the unit ball.
On the automorphisms of circular and Reinhardt domains in complex Banach spaces.
On the Behavior of Holomorphic Functions Near Maximum Modulus Sets.
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.