Jacek Dziuba'nski

activity

20242026

collaborators

5 papers

math.FA2026

Potential-free $L^{1}$ -estimates for positivity-preserving Riesz transform related to Schrödinger operator in dimension one

Jacek Dziubański

Let $V \geq 0$ be a locally integrable function on $R$ . Consider the Schrödinger operator $L = - \frac{d ^{2}}{d x ^{2}} + V$ . We prove that for all $0 < a \leq 1$ , there is a constant $C…

math.FA2026

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

Jacek DziubaÅski, Agnieszka Hejna-ÅyÅ¼wa

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

math.FA2025

Characterizations of $H^{1}$ and Fefferman-Stein decompositions of $BMO$ functions by systems of singular integrals in the Dunkl setting

Jacek DziubaÅski, Agnieszka Hejna

We extend the classical theorem of Uchiyama about constructive Fefferman-Stein decompositions of $BMO$ functions by systems of singular integrals to the rational Dunkl settin…

math.FA2025

On dimension-free and potential-free estimates for Riesz transforms associated with SchrÃ¶dinger operators

Jacek DziubaÅski

Let $L = - I^ + V (x)$ be a SchrÃ¶dinger operator on $R^{d}$ , where $V (x) \geq 0$ , $V \in L_{loc}^{2} (R^{d})$ . We give a short proof of dimension free $L^{p} (R^{d})$ es…

math.FA2024

On Lipschitz spaces in the Dunkl setting -- semigroup approach

Jacek DziubaÅski, Agnieszka Hejna

Let ${P_{t}}_{t > 0}$ be the Dunkl-Poisson semigroup associated with a root system $R \subset R^{N}$ and a multiplicity function $k \geq 0$ . Analogously to the classical theory,…

Potential-free L1-estimates for positivity-preserving Riesz transform related to Schrödinger operator in dimension one

HÃ¶rmander's multiplier theorem on Hp-spaces in the rational Dunkl setting

Characterizations of H1 and Fefferman-Stein decompositions of BMO functions by systems of singular integrals in the Dunkl setting

On dimension-free and potential-free estimates for Riesz transforms associated with SchrÃ¶dinger operators

On Lipschitz spaces in the Dunkl setting -- semigroup approach

Potential-free $L^{1}$ -estimates for positivity-preserving Riesz transform related to Schrödinger operator in dimension one

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

Characterizations of $H^{1}$ and Fefferman-Stein decompositions of $BMO$ functions by systems of singular integrals in the Dunkl setting