A CLASS OF NONSEPARABLE Ba SPACES
一类不可分的 Bα函数空间

In this paper,a necessary and sufficient condition for a class of Ba spaces to be separa-ble is obtained.Furthermore,a class of nonseparaable Ba spaces is found and Riesz trans-forms are proven to be bounded on these spaces.This result is different from that in the classi-cal space L_p and Orlicz space L_(\varphi).