Hassell, AndrewSikora, Adam2015-12-082015-12-080022-2518http://hdl.handle.net/1885/35462We study the boundedness on Lp of the Riesz transform δL-1/2, where I is one of several operators defined on ℝ or ℝ+, endowed with the measure rd-1 dr, d > 1, where dr is Lebesgue measure. For integer d, this mimics the measure on Euclidean d-dimensiKeywords: Modified bessel functions; Resolvent kernels; Riesz transform200910.1512/iumj.2009.58.35142016-02-24