Dual Approach to Certain Questions for Weighted Spaces of Holomorphic   Functions
  We set new dual problems for the weighted spaces of holomorphic functions of one variable in domains on the complex plane, namely: nontriviallity of a given space, description of zero sets, description of (non-)uniqueness sets, the representation of meromorphic functions as a quotient of holomorphic functions from a given space. 
Bulat N. Khabibullin