摘要
<正> 设f是D={z,|z|<1}内的亚纯函数。记f的球面导数是f~#(z)=|f′(z)|/(1+|f(z)|~2),若满足条件,称f为具有有界平均振动的亚纯函数。这种函数的全体记作BMOM。
In this paper, we introduce HN measure and HB measure . A criterion for N (f∈B) is obtained in terms of the HN measure (HB measure) . We also study Carleson measure and BMOM . Several equivalent conditions for a function to be in BMOM or VMOM are proved .
