鞅空间H_p^s上一类算子的有界性

Boundedness of a Class of Operators on Martingale Space H_p^s

设{Tn}n∈N为一列具有Δ性质的算子,本文得到了算子T=sum from n=1 to ∞ Tn在鞅空间HpS(1<p<∞)上有界的一些充分条件,从而推广了Toledo R的结果。

Let {Tn}n∈N be a series of operators with property Δ,some sufficient conditions of the operator T=sum from n=1 to ∞ Tn to be bounded on HSp(1<p<∞) is obtained.Thus the result of Toledo R is generalized.