Riesz transforms associated to Bessel operators (Q1022562)

From the author's abstract: For \(v>0\), the Bessel operator \(S_v\) defined on \(L^2({\mathbb R}^+, x^{2v} dx)\) is considered. The author proves, in a simple way, that the Riesz transform associated to \(S_v\) is bounded on \(L^p({\mathbb R}^+, x^{2v} dx)\), \(1<p<\infty\), with a constant only depending on \(p\). Also a weighted version is given and the constant is estimated.