Products of Toeplitz and Hankel operators on the Bergman space in the polydisk
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2018, Vol 72, Issue 2
Abstract
In this paper we obtain a condition for analytic square integrable functions f, g which guarantees the boundedness of products of the Toeplitz operators TfTg densely defined on the Bergman space in the polydisk. An analogous condition for the products of the Hankel operators HfH*g is also given.
Authors and Affiliations
Paweł Sobolewski
On almost polynomial structures from classical linear connections
Let Mfm be the category of m-dimensional manifolds and local diffeomorphisms and let T be the tangent functor on Mfm. Let V be the category of real vector spaces and linear maps and let Vm be the category of m-dimensiona...
On a two-parameter generalization of Jacobsthal numbers and its graph interpretation
In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s, p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s ide...
The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem
Using Baire's theorem, we give a very simple proof of a special version of the Lusin-Privalov theorem and deduce via Abel's theorem the Riemann-Cantor theorem on the uniqueness of the coefficients of pointwise converge...
A spatial individual-based contact model with age structure
The Markov dynamics of an infinite continuum birth-and-death system of point particles with age is studied. Each particle is characterized by its location x∈Rd and age ax≥0. The birth and death rates of a particle are ag...
Spectral analysis of singular Sturm-Liouville operators on time scales
In this paper, we consider properties of the spectrum of a Sturm-Liouville operator on time scales. We will prove that the regular symmetric Sturm-Liouville operator is semi-bounded from below. We will also give some con...