17 citations · 20 across the 7 of their papers we have counts for
13 papers
Poisson representations of Dunkl harmonic functions satisfying a Carleson condition
Jacek Dziubański, Rafał Łyżwa
We prove that a smooth Dunkl harmonic function in the upper half-space whose Dunkl gradient satisfies a Carleson measure condition is the Poisson integral of a function in $\mathrm…
On Dunkl Schrödinger semigroups with Green bounded potentials
Jacek Dziubański, Agnieszka Hejna
On equipped with a normalized root system , a multiplicity function , and the associated measure $$ dw(\mathbf x)=\prod_{α\in R}|\langle \mathbf x,α\rang…
Upper and lower bounds for Dunkl heat kernel
Jacek Dziubański, Agnieszka Hejna
On equipped with a normalized root system , a multiplicity function , and the associated measure $$ dw(\mathbf x)=\prod_{α\in R}|\langle \mathbf x,α\rang…
Upper and lower bounds for Littlewood-Paley square functions in the Dunkl setting
Jacek Dziubański, Agnieszka Hejna
The aim of this paper is to prove upper and lower estimates, , for Littlewood-Paley square functions in the rational Dunkl setting.
Singular integrals in the rational Dunkl setting
Jacek Dziubański, Agnieszka Hejna
On equipped with a normalized root system and a multiplicity function let us consider a (non-radial) kernel which has properties similar…
On semigroups generated by sums of even powers of Dunkl operators
Jacek Dziubański, Agnieszka Hejna
On the Euclidean space equipped with a normalized root system , a multiplicity function , and the associated measure $dw(\mathbf x)=\prod_{α\in R} |\langl…
Lie group approach to Grushin operators
Jacek Dziubański, Adam Sikora
We consider a finite system of complete vector fields acting on smooth manifolds equipped with a smooth positive measure. We assume that the system…
Hörmander's multiplier theorem for the Dunkl transform
Jacek Dziubański, Agnieszka Hejna
For a normalized root system in and a multiplicity function let . Denote by $dw(\mathbf x)=\prod_{α\in R}|\langle \mathb…
Remark on atomic decompositions for Hardy space in the rational Dunkl setting
Jacek Dziubański, Agnieszka Hejna
Let be the Dunkl Laplacian on associated with a normalized root system and a multiplicity function . We say that a function belongs to the Har…
Characterization of sharp global Gaussian estimates for Schrödinger heat kernels
Krzysztof Bogdan, Jacek Dziubański, Karol Szczypkowski
We investigate when the fundamental solution of the Schrödinger equation posseses sharp Gaussian bounds global in space and time. We give a characterization for $V…
Sharp Gaussian estimates for Schrödinger heat kernels: integrability conditions
Krzysztof Bogdan, Jacek Dziubański, Karol Szczypkowski
We give new sufficient conditions for comparability of the fundamental solution of the Schrödinger equation with the Gauss-Weierstrass kernel and show that local $…
Hardy spaces related to Schrödinger operators with potentials which are sums of L^p-functions
Jacek Dziubański, Marcin Preisner
We investigate the Hardy space H^1_L associated to the Schrödinger operator L=-Δ+V on R^n, where V=\sum_{j=1}^d V_j. We assume that each V_j depends on variables from a linear subs…
Remarks on spectral multiplier theorems on Hardy spaces associated with semigroups of operators
Jacek Dziubański, Marcin Preisner
Let L be a non-negative, self-adjoint operator on L^2(Ω), where (Ω, d μ) is a space of homogeneous type. Assume that the semigroup {T_t}_{t>0} generated by -L satisfies Gaussian bo…