RESUMEN
In[9], Zhu proved that if f holomorphic in the unit ball B
of Cn, then f ε Lp (B, dv) if all the
functions (1 -|x|2)m(Dαf)(z) with |α| = m are in Lp(B, dv). His method can only deal
with the case of p≥1. in this paper, we give a
new approach which is completely different from that of [9] to prove that the
above result Lodz
for all p ε (0.∞). A simple proof. About hte charcterization of the Bloch space
Hill be given. As a by-product of our approach, we generalize a theorem in [4]
to the unit ball of Cn, and use this result to gereralize
some theorems about the pluriharmonic conjugates in
[7] and [2] to the case 0 < p <1.