%0 Journal Article
%T Argument of bounded analytic functions and Frostman's type conditions
%A Igor Chyzhykov
%J Mathematics
%D 2009
%I arXiv
%X We describe the growth of the naturally defined argument of a bounded analytic function in the unit disk in terms of the complete measure introduced by A.Grishin. As a consequence, we characterize the local behavior of a logarithm of an analytic function. We also find necessary and sufficient conditions for closeness of $\log f(z)$, $f\in H^\infty$, and the local concentration of the zeros of $f$.
%U http://arxiv.org/abs/0906.1138v1