English

Paley type inequality on Hardy space in the Dunkl setting

Classical Analysis and ODEs 2021-06-08 v1

Abstract

We investigate λ\lambda-Hilbert transform, λ\lambda-Possion integral and conjugate λ\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}.

Keywords

Cite

@article{arxiv.2106.02936,
  title  = {Paley type inequality on Hardy space in the Dunkl setting},
  author = {ZhuoRan Hu},
  journal= {arXiv preprint arXiv:2106.02936},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2004.01777

R2 v1 2026-06-24T02:52:15.536Z