Speaker
Bulat Khabibullin
(Institute of Mathematics with Computing Centre of RAS, Ufa)
Description
We present new uniqueness theorems for holomorphic functions in the unit disk with given subharmonic majorants for the logarithms of the modules of these holomorphic functions. The results are formulated in terms of zero distributions of these holomorphic functions and Riesz mass distributions of these subharmonic majorants.
They take into account the distributions of zeros and masses both by radius and by argument. We also present applications of these uniqueness theorems to questions of completeness of various systems of holomorphic functions in weight spaces of holomorphic functions. The research was supported by a grant from the Russian Science Foundation No. 24-21-00002.
Primary author
Bulat Khabibullin
(Institute of Mathematics with Computing Centre of RAS, Ufa)
