| Abstrakt: |
In this paper we prove some analogues of Wiman's inequality for analytic f(z) and random analytic functions f(z,t) on T=Dl×Cp-l, l∈N, 1≤l≤p, I={1,...,l}, J={l+1,...,p} of the form ... respectively. Here Z=(Zn) is a multiplicative system of random variables on the Steinhaus probability space, uniformly bounded by the number 1. In particular, there are proved the following statements: For every δ>0 there exist sets E1=E1(δ,f), E2=E2(δ,f)⊂[0,1)l×(1,+∞)p-l of asymptotically finite logarithmic measure, such that the inequalities. [ABSTRACT FROM AUTHOR] |
