Higher Order Riesz Transforms for Fourier-Bessel Expansions

In this paper we investigate the Riesz transforms of order d≥1, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\mathcal{R}}_{\nu}^{d}$\end{document}, for Fourier-Bessel expansions. Weighted norm inequalities are proved for this operator.