We use the Galé and Pytlik [3] representation of Riesz functions to prove the Hörmander multiplier theorem for the modified Hankel transform.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-7, author = {Rafal Kapelko}, title = {Weak-type estimates for the modified Hankel transform}, journal = {Colloquium Mathematicae}, volume = {91}, year = {2002}, pages = {81-85}, zbl = {1003.42006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-7} }
Rafal Kapelko. Weak-type estimates for the modified Hankel transform. Colloquium Mathematicae, Tome 91 (2002) pp. 81-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm92-1-7/