How Fast and in what Sense(s) Does the Calderon Reproducing Formula Converge?

We prove that a very general form of the Calderon reproducing formula converges in L-p(w), for all 1 < p < infinity, whenever w belongs to the Muckenhoupt class A(p). We show that the formula converges whether we interpret its defining integral, in very natural senses, as a limit of L-p(w)-valued Riemann or Lebesgue integrals. We give quantitative estimates on their rates of convergence (or, equivalently, on the speed at which the errors go to 0) in L-p(w).