Calderon-Zygmund operators in the Bessel setting for all possible type indices

We show that many harmonic analysis operators in the Bessel setting, including maximal operators, Littlewood-Paley-Stein type square functions, multipliers of Laplace or Laplace-Stieltjes transform type and Riesz transforms are, or can be viewed as, Caldern-Zygmund operators for all possible values of type parameter lambda in this context. This extends results existing in the literature, but being justified only for a restricted range of lambda.