Agnieszka Hejna-Ly.zwa

collaborators

6 papers

math.FA2026

Fefferman--Chang-type atomic decompositions for product Hardy spaces associated with Schrödinger operators

Agnieszka Hejna-Łyżwa

We establish a geometric (Fefferman--Chang-type) atomic characterization of the two-parameter Hardy space associated with a pair of Schrödinger operators $L_{i} = - Δ + V_{i}$ on $\mathbb R…

math.AP2026

$L^{p}$ estimates for Dunkl--Schrödinger operators

Agnieszka Hejna-Łyżwa, Suman Mukherjee

We study the Dunkl--Schrödinger operator $L = - Δ_{k} + V$ on $R^{N}$ , $N > 2$ , where $V$ is a nonnegative potential in the reverse Hölder class $RH^{q} (d w)$ , $q > N /2$ , and…

math.FA2026

Riesz transform characterization of Hardy spaces associated with Dunkl--Schrödinger operators

Agnieszka Hejna-Łyżwa

Let $L = - Δ_{k} + V$ be a Schrödinger operator associated with the Dunkl Laplacian and a nonnegative potential. We characterize the Hardy space $H_{L}^{1}$ , defined by the maximal operator o…

math.FA2026

$H^{p}$ spaces in the Dunkl setting meet Coifman--Weiss--type atoms

Jacek Dziubański, Agnieszka Hejna-Łyżwa

Let $Δ_{k}$ be the Dunkl Laplacian associated with an arbitrary root system and a nonnegative multiplicity function. For every $0 < p \leq 1$ , a Coifman-Weiss type atomic characterizatio…

math.FA2026

On Lipschitz Spaces, Semigroup Transference, and Heat Kernel Derivative Estimates in Dunkl--Schrödinger Analysis

Agnieszka Hejna-Łyżwa

In this paper, we study Lipschitz spaces adapted to Dunkl--Schrödinger operators $L = - Δ_{k} + V$ , where $Δ_{k}$ is the Dunkl Laplacian and $V \geq 0$ belongs to the reverse H…

math.FA2026

Hörmander's multiplier theorem on $H^{p}$ -spaces in the rational Dunkl setting

Jacek Dziubański, Agnieszka Hejna-Łyżwa

On $R^{N}$ equipped with a normalized root system $R$ and a multiplicity function $k \geq 0$ , let $dw(\mathbf x)=Π_{α\in \mathcal R}|\langle \mathbf x,α\rangle|^{k(α…

Fefferman--Chang-type atomic decompositions for product Hardy spaces associated with Schrödinger operators

Lp estimates for Dunkl--Schrödinger operators

Riesz transform characterization of Hardy spaces associated with Dunkl--Schrödinger operators

Hp spaces in the Dunkl setting meet Coifman--Weiss--type atoms

On Lipschitz Spaces, Semigroup Transference, and Heat Kernel Derivative Estimates in Dunkl--Schrödinger Analysis

Hörmander's multiplier theorem on Hp-spaces in the rational Dunkl setting

$L^{p}$ estimates for Dunkl--Schrödinger operators

$H^{p}$ spaces in the Dunkl setting meet Coifman--Weiss--type atoms

Hörmander's multiplier theorem on $H^{p}$ -spaces in the rational Dunkl setting