Duality and the Class of Holomorphic Functions Representable by Carleman ’ s Formula

@inproceedings{Azenberg2013DualityAT,
  title={Duality and the Class of Holomorphic Functions Representable by Carleman ’ s Formula},
  author={Lev Abramovich Aĭzenberg and Alekos Vidras},
  year={2013}
}
The purpose of the present paper is two-fold. The first is to describe the space of continuous functionals for the Smirnov space Ep(U), p ≥ 1, when U is a simply connected, bounded domain with Ahlfors regular boundary in terms of functions which are analytic in the complement U (or dual complement) and have a prescribed boundary behavior on ∂U . As an application of the above results, we give a precise description of the space of continuous functionals acting on the space NH M (U), p ≥ 1 of… 
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