Jacek Dziubański

activity

20062022

most citedRiesz transforms characterizations of Hardy spaces

H^{1}

for the rational Dunkl setting and multidimensional Bessel operators

1 citations · 1 across the 3 of their papers we have counts for

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math.FA2022

Remarks on Dunkl translations of non-radial kernels

Jacek Dziubański, Agnieszka Hejna

On $R^{N}$ equipped with a root system $R$ and a multiplicity function $k > 0$ , we study the generalized (Dunkl) translations $τ_{x} g (- y)$ of not necessarily ra…

math.FA2018

Harmonic functions, conjugate harmonic functions and the Hardy space $H^{1}$ in the rational Dunkl setting

Jean-Philippe Anker, Jacek Dziubański, Agnieszka Hejna

In this work we extend the theory of the classical Hardy space $H^{1}$ to the rational Dunkl setting. Specifically, let $Δ$ be the Dunkl Laplacian on a Euclidean space $R^{N}$ …

math.FA2015★ 1 cited

Riesz transforms characterizations of Hardy spaces $H^{1}$ for the rational Dunkl setting and multidimensional Bessel operators

Jacek Dziubański

We characterize the Hardy space $H^{1}$ in the rational Dunkl setting associated with the reflection group $Z_{2}^{n}$ by means of Riesz transforms. As a corollary we obtain a Ri…

Remarks on Dunkl translations of non-radial kernels

Harmonic functions, conjugate harmonic functions and the Hardy space H1 in the rational Dunkl setting

Riesz transforms characterizations of Hardy spaces H1 for the rational Dunkl setting and multidimensional Bessel operators

Harmonic functions, conjugate harmonic functions and the Hardy space $H^{1}$ in the rational Dunkl setting

Riesz transforms characterizations of Hardy spaces $H^{1}$ for the rational Dunkl setting and multidimensional Bessel operators