2013/09/25 by Khim R. Shrestha, Shrestha, Khim Raj · 1 citation
Mathematics · #30J99 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1309.6561
openalex publication_date 2013/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the boundary values of harmonic and holo- morphic functions in the weighted Hardy spaces on the unit disk \mathbbD. These spaces were introduced by Poletsky and Stessin in [6] for plurisubharmonic functions on hyperconvex domains D ⊂ ℂn as generalizations of classical Hardy spaces. We show that in the case when D is the unit disk \mathbbD the theory of boundary values for functions in these spaces is analogous to the classical one.