5 papers · 1 filter
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 on $\mathbb R…
Riesz transform characterization of Hardy spaces associated with Dunkl--Schrödinger operators
Agnieszka Hejna-Łyżwa
Let be a Schrödinger operator associated with the Dunkl Laplacian and a nonnegative potential. We characterize the Hardy space , defined by the maximal operator o…
spaces in the Dunkl setting meet Coifman--Weiss--type atoms
Jacek Dziubański, Agnieszka Hejna-Łyżwa
Let be the Dunkl Laplacian associated with an arbitrary root system and a nonnegative multiplicity function. For every , a Coifman-Weiss type atomic characterizatio…
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 , where is the Dunkl Laplacian and belongs to the reverse H…
Hörmander's multiplier theorem on -spaces in the rational Dunkl setting
Jacek Dziubański, Agnieszka Hejna-Łyżwa
On equipped with a normalized root system and a multiplicity function , let $dw(\mathbf x)=Π_{α\in \mathcal R}|\langle \mathbf x,α\rangle|^{k(α…