Abstract:
For plurisubharmonic functions Cn of lower order λ<+∞ estimates of the growth of their maximum value on the sphere of radius r with centre at the origin in terms of the growth of the Nevanlinna characteristics T(r,u) are obtained. These estimates are best possible for λ⩽1. The results are new even in the case of functions of the form u=log|f|, where f is an entire function in Cn, n>1.