Obtainment of the norm in Bergman spaces.
On a class of composition operators on Bergman space.
On an Estimate of Axler and Shapiro.
On Bloch functions and normal functions.
On BMO-type characteristics for one class of holomorphic functions in a disk.
On completeness with respect to a Carathéodory-like metric
On cyclicity in weighted Dirichlet spaces.
On Dominating Sequences in the Unit Disc.
On extended eigenvalues and extended eigenvectors of truncated shift
In this paper we consider the truncated shift operator Su on the model space K2u := H2 θ uH2. We say that a complex number λ is an extended eigenvalue of Su if there exists a nonzero operator X, called extended eigenvector associated to λ, and satisfying the equation SuX = λXSu. We give a complete description of the set of extended eigenvectors of Su, in the case of u is a Blaschke product..
On generators in ideals of entire functions of finite order and type on the plane.
On harmonic conjugates with exponential mean growth
On linear functionals in Hardy-Orlicz spaces, I
On linear functionals in Hardy-Orlicz spaces, II
On linear functionals in Hardy-Orlicz spaces. III
On maximal and complete regions
On products of some Toeplitz operators on polyanalytic Fock spaces
The purpose of this paper is to study the Sarason’s problem on Fock spaces of polyanalytic functions. Namely, given two polyanalytic symbols and , we establish a necessary and sufficient condition for the boundedness of some Toeplitz products subjected to certain restriction on and . We also characterize this property in terms of the Berezin transform.
On some classes of holomorphic vector functions
On some new sharp embedding theorems in minimal and pseudoconvex domains
We present new sharp embedding theorems for mixed-norm analytic spaces in pseudoconvex domains with smooth boundary. New related sharp results in minimal bounded homogeneous domains in higher dimension are also provided. Last domains we consider are domains which are direct generalizations of the well-studied so-called bounded symmetric domains in Our results were known before only in the very particular case of domains of such type in the unit ball. As in the unit ball case, all our proofs are...
On some new theorems on certain analytic and meromorphic classes of Nevanlinna type on the complex plane
On some problems connected with diagonal map in some spaces of analytic functions
For any holomorphic function on the unit polydisk we consider its restriction to the diagonal, i.e., the function in the unit disc defined by , and prove that the diagonal map maps the space of the polydisk onto the space of the unit disk.