B值鞅的Rosenthal型弱Orlicz拟范数不等式

On Rosenthal's Inequality in Weak Orlicz Space for B-Valued Martingales

证明了Banach空间值鞅关于弱Orlicz空间拟范数的Rosenthal型不等式,所得结果给出了Banach空间的p一致光滑性和q一致凸性等几何性质与鞅的拟范数不等式之间的一种新的等价刻画.

Rosenthal＇s inequality of weak Orlicz quasi norm for Banach‐space‐valued martingales has been proved ,which gives a new characterization of the p‐uniform smoothness and q‐uniform convexity of the underlying Banach space .