We investigate Laplace type and Laplace-Stieltjes type multipliers in the
d-dimensional setting of the Dunkl harmonic oscillator with the associated
group of reflections isomorphic to Z2dβ and in the related context
of Laguerre function expansions of convolution type. We use Calder\'on-Zygmund
theory to prove that these multiplier operators are bounded on weighted Lp,
1<p<β, and from L1 to weak L1.Comment: 12 page