Paley type inequality on Hardy space in the Dunkl setting

Abstract

We investigate $\lambda$-Hilbert transform, $\lambda$-Possion integral and conjugate $\lambda$-Poisson integral on the atomic Hardy space in the Dunkl setting and establish a new version of Paley type inequality which extends the results in \cite{F} and \cite{ZhongKai Li 3}.

arXiv admin note: substantial text overlap with arXiv:2004.01777