English

Riesz transforms characterizations of Hardy spaces $H^1$ for the rational Dunkl setting and multidimensional Bessel operators

Functional Analysis 2015-03-04 v1

Abstract

We characterize the Hardy space H1H^1 in the rational Dunkl setting associated with the reflection group Z2n\mathbb Z_2^n by means of Riesz transforms. As a corollary we obtain a Riesz transform characterization of H1H^1 for product of Bessel operators in (0,)n(0,\infty)^n.

Keywords

Cite

@article{arxiv.1503.00950,
  title  = {Riesz transforms characterizations of Hardy spaces $H^1$ for the rational Dunkl setting and multidimensional Bessel operators},
  author = {Jacek Dziubański},
  journal= {arXiv preprint arXiv:1503.00950},
  year   = {2015}
}