H theory for the poly-disc.
We show that the H(p) spaces on the bi-disc can be characterized in terms of either the nontangential maximal function and the area integral or their probabilistic analogues resulting by introducing two-time Brownian motion (i.e., the martingale maximal function) and the corresponding square function.
Statistics Center, Rutgers University, New Brunswick, New Jersey 08903.
R F
RF
Gundy
E M
EM
Stein