ABSTRACT
We study growth envelopes, introduced in Chapters 3 and 4, in the context of function spaces of type Asp,q, where σp ≤ s ≤ np .
We first deal with spaces of type Asp,q where 0 < p <∞, 0 < q ≤ ∞, and σp ≤ s < np – called sub-critical according to our notation in Figure 11 (and the explanations given there). The borderline case s = σp needs some additional care; this refers to the thick lines in Figure 12. This situation is studied separately, but postponed to the end of this section.
