ABSTRACT
In this section we return to a more general point of view concerning both growth and continuity envelope functions. First we study assertions like Corollaries 3.14, 3.16 in a more general context; then we investigate in what cases the envelope function EXG can be “realised” by some f ∈ X in the sense that EXG (t) ∼ f∗(t), 0 < t < ε; similarly for EXC . Finally, as mentioned before, we turn to global settings for growth envelope functions, i.e., we consider EXG (t) for t→∞.
