Paley type inequality on Hardy space in the Dunkl setting
- Resource Type
- Working Paper
- Authors
- Hu, ZhuoRan
- Source
- Subject
- Mathematics - Classical Analysis and ODEs
2B20, 42B25, 42A38
- Language
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}.
Comment: arXiv admin note: substantial text overlap with arXiv:2004.01777