向量值鞅空间_pH_T^S(X)与_pH_r~σ(X)的共轭

The Duals of Vector-valued Martingale Space _pH_T^S(X) and _pH_r~σ(X)

证明了B值鞅空间,pHSr(X)和pHσr(X)的共轭分别是qKSr′(X*)与qKσr′(X*),此外还讨论了pKSr(X)和pKr(X),pKσr(X)和pK+r(X)的相互嵌入关系与Banach空间的p一致光滑性和q一致凸性之间的密切联系.

In this paper, we proved that the duals of martingale space ()_pH+S-r(X) and ()_pH+σ_r(X) are (()_qK+S_(r′)(X)) and ()_pK++-r(X) are discussed, the results show these relationships depend on the p-uniformly smoothness and q-uniformly convexity of Banach space.