On Dominating Sequences in the Unit Disc.
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 some classes of holomorphic vector functions
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.
On the Analogue of Koebe's Theorem for Functions with Values in a Clifford Algebra.
On the characteristic properties of certain optimization problems in complex analysis
We shall be concerned in this paper with an optimization problem of the form: J(f) → min(max) subject to f ∈ 𝓕 where 𝓕 is some family of complex functions that are analytic in the unit disc. For this problem, the question about its characteristic properties is considered. The possibilities of applications of the results of general optimization theory to such a problem are also examined.
On the convolution of analytic functions.
On the isomorphic classification of weighted spaces of holomorphic functions
On the Product of Functions in BMO and H
The point-wise product of a function of bounded mean oscillation with a function of the Hardy space is not locally integrable in general. However, in view of the duality between and , we are able to give a meaning to the product as a Schwartz distribution. Moreover, this distribution can be written as the sum of an integrable function and a distribution in some adapted Hardy-Orlicz space. When dealing with holomorphic functions in the unit disc, the converse is also valid: every holomorphic...
On weighted spaces of functions harmonic in
The paper establishes integral representation formulas in arbitrarily wide Banach spaces of functions harmonic in the whole .
Orthogonal Polynomials, L2-Spaces and Entire Functions.
Pointwise inequalities of logarithmic type in Hardy-Hölder spaces
We prove some optimal logarithmic estimates in the Hardy space with Hölder regularity, where is the open unit disk or an annular domain of . These estimates extend the results established by S. Chaabane and I. Feki in the Hardy-Sobolev space of the unit disk and those of I. Feki in the case of an annular domain. The proofs are based on a variant of Hardy-Landau-Littlewood inequality for Hölder functions. As an application of these estimates, we study the stability of both the Cauchy problem...
Power series spaces of finite type and related nuclearities
Primideale in der topologischen Algebra H... (ß).
Radial variation of functions in Besov spaces.