On the Representation of Linear Continuous Functionals in Spaces of Analytic Functions of the Hardy–Sobolev Type in a Polydisk

• Date: 2003
• Main Authors: Shamoyan, R. F., Шамоян, Р. Ф.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3942
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We describe dual spaces of classes of the Hardy–Sobolev type \(F_l^{pq} (U^n )\) of functions holomorphic in a polydisk for 0 < p ≤ 1 and q ∈ (0, ∞) and for p ∈ (1, ∞) and q = 1.