  We analyse the Transfer Principle, which is used to generate weak type
maximal inequalities for ergodic operators, and extend it to the general case
of $\sigma$-compact locally compact Hausdorff groups acting
measure-preservingly on $\sigma$-finite measure spaces. We show how the
techniques developed here generate various weak type maximal inequalities on
different Banach function spaces, and how the properties of these function
spaces influence the weak type inequalities that can be obtained. Finally, we
demonstrate how the techniques developed imply almost sure pointwise
convergence of a wide class of ergodic averages.
