一致PL凸空间的一个特征

Property of Uniform PL-Convex Spaces

用一类特殊解析函数定义了复拟Banach空间上凸性模,并讨论了复Banach空间一致PL凸性,得到了刻画q一致PL凸性的Hardy鞅不等式.

The author uses a class of special analytic function to define convexity modulus on quasi-Banach spaces, and gives a characterization of uniformly PL-convexlty of complex Banach space in this paper,and obtains inequalily equation of some equivalent condition of q-uniformly PL-eonvexitiable of the spaces.