Tomasz Beberok

activity

20152026

most citedCompact vectorial Toeplitz operators on the Segal-Bargmann space

1 citations · 1 across the 10 of their papers we have counts for

collaborators

13 papers

math.CA2026

Weighted Bernstein-type inequalities on a trapezoidal domain

Tomasz Beberok

We study weighted $L^{2}$ Bernstein-type inequalities for algebraic polynomials on a trapezoidal domain. Using a parametrization by the unit square, we construct a natural symmetric…

math.CA2021

$L_{p}$ Markov exponent of certain UPC sets

Tomasz Beberok

In this paper we give sharp $L_{p}$ Markov type inequalities for derivatives of multivariate polynomials for a wide family of UPC domains.

math.CA2020

On $L^{p}$ Markov type inequality for some cuspidal domains in $R^{2}$

Tomasz Beberok

The purpose of this paper is to study a Markov type inequality for algebraic polynomials in $L^{p}$ norm on two-dimensional cuspidal domains.

math.FA2020★ 1 cited

Compact vectorial Toeplitz operators on the Segal-Bargmann space

Tomasz Beberok, Piotr Budzynski, Dong-O Kang

We provide a sufficient condition for the compactness of a Toeplitz operator acting on the Segal-Bargmann space of vector-valued functions written in terms of an associated operato…

math.CA2019

Markov's inequality on Koornwinder's domain in $L^{p}$ norms

Tomasz Beberok

Let $Ω = {(x, y) \in R^{2} : ∣ x ∣ < y + 1, x^{2} > 4 y}$ . We prove that the optimal exponent in Markov's inequality on $Ω$ in $L^{p}$ norms is 4.

math.CA2018

Markov's inequality and $C^{\infty}$ functions on algebraic sets

Tomasz Beberok

It is known that for $C^{\infty}$ determining sets Markov's property is equivalent to Bernstein's property. The purpose of this paper is to prove an analogous result in the case of…

math.CV2017

$L^{p}$ -norm estimate of the Bergman projection on the Hartogs triangle

Tomasz Beberok

The purpose of this paper is to give an estimate of the $L^{p}$ -norm of the Bergman projection on the Hartogs triangle.

math.CV2016

$L^{p}$ boundedness of the Bergman projection on the generalized Hartogs triangles

Tomasz Beberok

In this paper we investigate a two classes of domains in $C^{n}$ generalizing the Hartogs triangle. We prove optimal estimates for the mapping properties of the Bergman proj…

math.CV2016

Hilbert-Schmidt Hankel operators over semi-Reinhardt domains

Tomasz Beberok, Nihat Gokhan Gogus

Let $Ω$ be an arbitrary bounded semi-Reinhardt domain in $C^{m + n}$ . We show that for $m \geq 2$ , if a Hankel operator with an anti-holomorphic symbol is Hilbert-Schmidt on…

math.CV2016

The Bergman kernel: explicit formulas, deflation, Lu Qi-Keng problem and Jacobi Polynomials

Tomasz Beberok

In this paper we investigate the Bergman kernel function for intersection of two complex ellipsoids $\{(z,w_1,w_2) \in \mathbb{C}^{n+2} : |z_1|^2 + \cdots + |z_n|^2 + |w_1|^q < 1,…

math.CV2015

Lu Qi-Keng's problem for intersection of two complex ellipsoids

Tomasz Beberok

In this paper We investigate the Lu Qi-Keng problem for intersection of two complex ellipsoids ${z \in C^{3} : ∣ z_{1} ∣^{2} + ∣ z_{2} ∣^{q} < 1, ∣ z_{1} ∣^{2} + ∣ z_{3} ∣^{r} < 1}$ .

math.CV2015

The Bergman kernel for intersection of two complex ellipsoids

Tomasz Beberok

In this paper we obtain the closed forms of some hypergeometric functions. As an application, we obtain the explicit forms of the Bergman kernel functions for intersection of two c…

math.CV2015

Explicit formulas of the Bergman kernel for some Reinhardt domains

Tomasz Beberok

In this paper we obtain the closed forms of some hypergeometric functions. As an application, we obtain the explicit forms of the Bergman kernel functions for Reinhardt domains $\{…

Weighted Bernstein-type inequalities on a trapezoidal domain

Lp​ Markov exponent of certain UPC sets

On Lp Markov type inequality for some cuspidal domains in R2

Compact vectorial Toeplitz operators on the Segal-Bargmann space

Markov's inequality on Koornwinder's domain in Lp norms

Markov's inequality and C∞ functions on algebraic sets

Lp-norm estimate of the Bergman projection on the Hartogs triangle

Lp boundedness of the Bergman projection on the generalized Hartogs triangles

Hilbert-Schmidt Hankel operators over semi-Reinhardt domains

The Bergman kernel: explicit formulas, deflation, Lu Qi-Keng problem and Jacobi Polynomials

Lu Qi-Keng's problem for intersection of two complex ellipsoids

The Bergman kernel for intersection of two complex ellipsoids

Explicit formulas of the Bergman kernel for some Reinhardt domains

$L_{p}$ Markov exponent of certain UPC sets

On $L^{p}$ Markov type inequality for some cuspidal domains in $R^{2}$

Markov's inequality on Koornwinder's domain in $L^{p}$ norms

Markov's inequality and $C^{\infty}$ functions on algebraic sets

$L^{p}$ -norm estimate of the Bergman projection on the Hartogs triangle

$L^{p}$ boundedness of the Bergman projection on the generalized Hartogs triangles