
doi: 10.1007/bf01095445
The class of functions Φ(z, t) defined for z∈ Cn and t ≥0 such that the functions Φ(z, ¦w¦), w∈C, are plurisubharmonic in Cn+1 is called the classD. A typical example of functions of the classB are functions of the form\(\ln M_g (z,t) = \mathop {\ln \sup |}\limits_{|w| = t} g(z,w)|\) where g(z, w), z∈Cn, w∈C, is an entire function in Cn+1. In this note it is proved under certain restrictions on the function Φ(z, t)eB that its lower order relative to the variable t is the same for all z∈Cn except, possibly, for the points z of a set of zero Γ capacity. See [5].
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