摘要
该文研究了取值于复拟Banach空间的解析鞅不等式与该空间的PL—致凸性的关系，证明了解析鞅的q均方函数的弱（1，1）型，强（p，p）型和凸Φ中函数不等式，并应用它们给出了复空间的q—致PL可凸性的等价条件，同时借助解析鞅q均方函数的增长速度给出了同样的刻划．
We study the relationships between some inequalities of ananlytic martingale with values in complex quasi-Banach space and uniformly PL-convexitiable of the space. We prove weak type (1,1 ), strong type (p, p) and a Φ inequalities of q-mean sequare funiction of analytic martingales with values in quasi-Banach space. Appling them to give some equivalent conditons of q -uniformly PL-convexitiable of the spaces. At the same time, appling growth velocity of q-mean square funicton of analytic martingales give characterization of q-uniformly PL-convexitiable spaces.
出处
《数学物理学报（A辑）》
CSCD
北大核心
1997年第1期64-73,共10页
Acta Mathematica Scientia
关键词
一致PL凸性
复空间
巴拿赫空间
Complex Quasi-Banach space, q-uniformly PL-convex,analytic martingale
