鞅变换与Banach空间的几何性质

鞅变换与Banach空间的几何性质 MARTINGALE TRANSFORMS AND GEOMETRICAL PROPERTIES OF BANACH SPACES 刘培德 Liu Peide 1 first-author 武汉大学数学系 武汉大学数学系 Department of Mathematics,Wuhan University Department of Mathematics,Wuhan University 本文应用鞅变换技巧建立了 B 值鞅的若干不等式。证明了这些不等式是 Banach空间的凸性和光滑性的特征性质。此外还讨论了若干类型的鞅空间的相互关系。 Some inequalitles of martingales with values in Banach spacesbe establi- shed by using martingale transform techniques,some characterizations of con- vexity and smoothness of Banach spaces be proved by using these inequali- ties,the relationships between several martingale spaces be discussed. B 值鞅 鞅变换 Banach 空间几何学 凸性 光滑性 Banach-space-valued martingale martingale transform geometry of Banach space convexity Smoothness 国家自然科学基金资助课题 1991-04-01 2021-04-01 4