Uniqueness distributions for holomorphic functions with growth restrictions in the unit disc

We establish new uniqueness theorems for holomorphic functions in the unit disc with given subharmonic majorants for the logarithms of the modules of these holomorphic functions. The results are formulated in terms of distributions of zeros for these holomorphic functions and Riesz mass distributions for subharmonic majorants. They are based on the new scale of inequalities for Riesz mass distributions of subharmonic functions on the unit disc under given inequalities between these functions.