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

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.