Multivariate Hörmander-type multiplier theorem for the Hankel transform

Jacek Dziubański, Marcin Preisner, Błażej Wróbel

Let H(f)(x)=\int_{(0,infty)^d} f(v) E_{x}(v) dν(v), be the multivariable Hankel transform, where E_{x}(v)=\prod_{k=1}^d (x_k v_k)^{-a_k+1/2} J_{a_k-1/2}(x_k v_k), dν(v)=v^a dv, a=(…