Author

Agnieszka Hejna-Łyżwa

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Preprint Oct 2026

$L^p$ estimates for Dunkl--Schr\"odinger operators

We study the Dunkl--Schr\"odinger operator $L=-\Delta_k+V$ on $\mathbb R^N$, $N>2$, where $V$ is a nonnegative potential in the reverse H\"older class ${\rm RH}^q(dw)$, $q>\mathbf N/2$, and $\mathbf N$ is the homogeneous dimension. We establish decay estimates for the resolvent kernel in terms of the critical radius an...

Agnieszka Hejna-Łyżwa, Suman Mukherjee · 0 citations

Preprint Sep 2026

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

Let $\Delta_k$ be the Dunkl Laplacian associated with an arbitrary root system and a nonnegative multiplicity function. For every $0<p\leq1$, a Coifman-Weiss type atomic characterization of the Hardy space $H^p_{\mathrm{Dunkl}}$ is established. More precisely, it is proved that the space $H^p_{\mathrm{Dunkl}}$, which i...

Jacek Dziubański, Agnieszka Hejna-Łyżwa · 0 citations

Preprint Sep 2026

A Remark on H\"ormander Multipliers on Dunkl Hardy Spaces

Let $\mathcal R$ be a normalized root system in $\mathbb R^N$ with a nonnegative multiplicity function $k$, and let $\mathcal F$ be the associated Dunkl transform. We prove a H\"ormander multiplier theorem on the Hardy spaces $H^p_{\mathrm{Dunkl}}$, $0<p\le1$, defined by conical Littlewood--Paley square functions. Let...

Jacek Dziubański, Agnieszka Hejna-Łyżwa · 0 citations