Harmonic functions, conjugate harmonic functions and the Hardy space $H^1$ in the rational Dunkl setting

Jean-Philippe Anker, Jacek Dziubański, Agnieszka Hejna

In this work we extend the theory of the classical Hardy space $H^1$ to the rational Dunkl setting. Specifically, let $\Delta$ be the Dunkl Laplacian on a Euclidean space ${\mathbb{R}}^N$…