Agnieszka Hejna

activity

20182025

most citedHarmonic functions, conjugate harmonic functions and the Hardy space

H^{1}

in the rational Dunkl setting

7 citations · 8 across the 12 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.FA2018

Hörmander's multiplier theorem for the Dunkl transform

Jacek Dziubański, Agnieszka Hejna

For a normalized root system $R$ in $R^{N}$ and a multiplicity function $k \geq 0$ let $N = N + \sum_{α \in R} k (α)$ . Denote by $dw(\mathbf x)=\prod_{α\in R}|\langle \mathb…

math.FA2018

Remark on atomic decompositions for Hardy space $H^{1}$ in the rational Dunkl setting

Jacek Dziubański, Agnieszka Hejna

Let $Δ$ be the Dunkl Laplacian on $R^{N}$ associated with a normalized root system $R$ and a multiplicity function $k (α) \geq 0$ . We say that a function $f$ belongs to the Har…

math.FA2018★ 7 cited

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.FA2018

Hardy spaces for the Dunkl harmonic oscillator

Agnieszka Hejna

Let $Δ$ and $L = Δ - ∥ x ∥^{2}$ be the Dunkl Laplacian and the Dunkl harmonic oscillator respectively. We define the Hardy space $H^{1}$ associated with the Dunkl harmonic…

Hörmander's multiplier theorem for the Dunkl transform

Remark on atomic decompositions for Hardy space H1 in the rational Dunkl setting

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

Hardy spaces for the Dunkl harmonic oscillator

Remark on atomic decompositions for Hardy space $H^{1}$ in the rational Dunkl setting

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