Abstract :
In this paper we prove that in the class of all measurable positive functions
defined on the interval wa,q`. a)0., the class of functions which preserve the
strong asymptotic equivalence on the set of functions x: wa,q`.¬Rq, x t.ª
q`, tªq`4, is a class of O-regularly varying functions with continuous index
function. We also prove a representation theorem for functions from this class.
