We consider several harmonic analysis operators in the multi-dimensional
context of the Dunkl Laplacian with the underlying group of reflections
isomorphic to Z2nβ (also negative values of the multiplicity
function are admitted). Our investigations include maximal operators,
g-functions, Lusin area integrals, Riesz transforms and multipliers of
Laplace and Laplace-Stieltjes transform type. Using the general
Calder\'on-Zygmund theory we prove that these objects are bounded in weighted
Lp spaces, 1<p<β, and from L1 into weak L1.Comment: 26 pages. arXiv admin note: text overlap with arXiv:1011.3615 by
other author