Hilbert transform on the Dunkl-Hardy Spaces

ZhuoRan Hu

For $p>p_0=\frac{2\lambda }{2\lambda +1}$ with $\lambda >0$, the Hardy space $H_{\lambda }^p({\mathbb{R}}_{+}^2)$ associated with the Dunkl transform ${\mathcal{F}}_{\lambda }$ and the Dunkl operator $D$ on the real line $\ma…