H^p函数的平均增长  

Mean growth of H￣p functions

作　　者：张建中[1] 谢淑翠[1] 

机构地区：[1]陕西师范大学数学系,西安邮电学院基础课部

出　　处：《陕西师大学报（自然科学版）》1995年第1期17-21,共5页Journal of Shaanxi Normal University(Natural Science Edition)

摘　　要：研究了Ｈｐ函数ｆ及其导数ｆ＇的平均增长，得到了ｆ与ｆ＇的平均模之间的关系，建立了Ｈａｒｄｙ－Ｌｉｔｔｌｅｗｏｏｄ反向不等式．通过讨论面积函数Ａ（ｒ）与ｆ＇的关系，得到了Ｈｐ函数／的导数ｆ＇的平均模刻画，并完善了Ｌｉｔｔｌｅｗｏｏｄ－Ｐａｌｅｙ定理．The mean growth of Hp function and of its derivative is studied. The relation between the mean modulus of f and f' is obtained, then the inverse of Hardy-Littlewood inequality is established. Based on the relationship between f and the area-function A(r), the estimation of the mean modulus of f with Hp function f is given and Littlewood-Paley theorem is improved.

关 键 词：H^P空间 解析函数 平均模 复变函数 

分 类 号：O174.5[理学—数学]