Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give sev...Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give several characterizations of AUMD spaces.展开更多
In this article, several weak Hardy spaces of Banach-space-valued martingales are introduced, some atomic decomposition theorems for them are established and their duals are investigated. The results closely depend on...In this article, several weak Hardy spaces of Banach-space-valued martingales are introduced, some atomic decomposition theorems for them are established and their duals are investigated. The results closely depend on the geometrical properties of the Banach space in which the martingales take values.展开更多
The complex Banach spaces X with values in which every bounded holomorphic function in the unit ball B of Cd(d > 1) has boundary limits almost surely are exactlythe spaces with the analytic Radon-Nikodym property.T...The complex Banach spaces X with values in which every bounded holomorphic function in the unit ball B of Cd(d > 1) has boundary limits almost surely are exactlythe spaces with the analytic Radon-Nikodym property.The proof is based on inner Hardymartingales introduced here. The inner Hardy martingales are constructed in terms ofinner functions in B and are reasonable discrete approximations for the image processesof the holomorphic Brownian motion under X-valued holomorpkic functions in B.展开更多
在这份报纸，为 Banach-space-valued 弱强壮的常规鞅空间 w p H S (X) 的一条原子分解定理被给。作为应用， p-smoothable Banach 空格以在 Banach-space-valued 弱强壮的常规鞅空间 w p H S (X) 上定义的围住的 sublinear 操作员被描绘。
文摘Using stopping time method we proved the Φ-inequalities, pointwise convergence, strong and weak laws of large numbers of Hardy martingale transforms with values in complex Banach spaces, and applying them to give several characterizations of AUMD spaces.
基金Supported by the National Natural Foundation of China(10671147)
文摘In this article, several weak Hardy spaces of Banach-space-valued martingales are introduced, some atomic decomposition theorems for them are established and their duals are investigated. The results closely depend on the geometrical properties of the Banach space in which the martingales take values.
文摘The complex Banach spaces X with values in which every bounded holomorphic function in the unit ball B of Cd(d > 1) has boundary limits almost surely are exactlythe spaces with the analytic Radon-Nikodym property.The proof is based on inner Hardymartingales introduced here. The inner Hardy martingales are constructed in terms ofinner functions in B and are reasonable discrete approximations for the image processesof the holomorphic Brownian motion under X-valued holomorpkic functions in B.
基金Supported by National Natural Science Foundation of China （Grant No. 10671147）
文摘在这份报纸，为 Banach-space-valued 弱强壮的常规鞅空间 w p H S (X) 的一条原子分解定理被给。作为应用， p-smoothable Banach 空格以在 Banach-space-valued 弱强壮的常规鞅空间 w p H S (X) 上定义的围住的 sublinear 操作员被描绘。
