两指标B值鞅空间_pS_α~H(B)的对偶

Dual of two-parameter Banach space valued martingale space _pS_α~H(B)

通过引入新型两指标B值鞅空间,利用两指标B值鞅的Fefferman不等式,证明了当B为自反Banach空间时,由p均方算子定义的两指标B值鞅空间_pS_α~H(B)的对偶空间是_qK_(α')~S(B*),同时讨论了对偶空间的相互嵌入关系与Banach空间的几何性质之间的密切联系.

By introducing two new types of two-parameter Banach space valued martingale spaces and using Fefferman inequalities,it is proved that the dual space of two-parameter Banach space valued martingale space pHas(B)associated with p-variation ispHas(B).The relationship between the mutual embedding of dual spaces and the geometrical properties of Banach space is also investigated.