We investigate Bergman spaces B~P(Ω), where Ω = C(Z+iZ) and show that B~P = {0} for p ≥ 2 and {0} ≠ B~q is contained in B~p for 2/(n+1) ≤ q < p < 2. Further, for each 0 < p < 2 there is a non-trivial f ∈ B_p tending to zero at infinity at any precribed rate. We also give conditions on the Mittag-effer expansion of f necessar for f ∈ B~p.
展开▼
