向量值鞅空间_pL_a(X)和_pΣ_r(X)

On Vector-valued Martingale Spaces_pLa(X) and _pΣ_r(X)

证明了当０ ＜ ｒ ≤ｐ ＜ ∞时，Ｂａｎａｃｈ 空间值鞅空间ｐＬａ（ Ｘ） 与ｐΣｒ（ Ｘ） 是范数等价的，从而推广了刘培德［４］

The equivalent relation between Banach space-valued martingale spaces  pL a(X)  and  pΣ r(X) is obtained in the case of 0<r≤p<∞, which generalizes a result of Liu P D [4]