弱Orlicz空间上的鞅平削算子不等式

摘要

Some inequalities with weak O -norm of the sharp operators for Banach-space-valued martingales are proved, which characterize th -uniform smoothness and q-uniform convexity of the underlying Banach spaces.%本文主要研究弱Orlicz空间wLφ上鞅的平削算子不等式,并且通过所得到的鞅平削算子的拟范数不等式给出了Banach空间的p一致光滑性和q一致凸性一种新的等价刻画形式.