On Dirichlet Type Spaces  A   ω   2  Over the Half–Plane

A. M. Jerbashian; J. Pejendino

doi:10.3103/S1068362318040039

On Dirichlet Type Spaces A_ω² Over the Half–Plane

Authors: Jerbashian A.M.¹, Pejendino J.¹
Affiliations:
1. University of Antioquia
Issue: Vol 53, No 4 (2018)
Pages: 212-222
Section: Real and Complex Analysis
URL: https://journal-vniispk.ru/1068-3623/article/view/228198
DOI: https://doi.org/10.3103/S1068362318040039
ID: 228198

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Abstract

Some extensions of the results of the first author related with the Hilbert spaces A_ω,0² of functions holomorphic in the half–plane are proved. Some new Hilbert spaces A_ω² of Dirichlet type are introduced, which are included in the Hardy space H2 over the half–plane. Several results on representations, boundary properties, isometry, interpolation, biorthogonal systems and bases are obtained for the spaces A_ω² ⊂ H₂.