Tomasz Beberok

activity

20162020

collaborators

5 papers

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.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

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…

On Lp Markov type inequality for some cuspidal domains in R2

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

Hilbert-Schmidt Hankel operators over semi-Reinhardt domains

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