Kh. Kh. Burchaev, V. G. Ryabykh, G. Yu. Ryabykh, “An extremal problem in the Hardy space $H_p$, $0<p<\infty$”, Sibirsk. Mat. Zh., 2017, Volume 58, Number 3,Pages 510

This article is cited in 2 papers

An extremal problem in the Hardy space $H_p$, $0<p<\infty$

Kh. Kh. Burchaev^a, V. G. Ryabykh^b, G. Yu. Ryabykh^c

^a Chechnya State University, Groznyĭ, Russia
^b Southern Federal University, Rostov-on-Don, Russia
^c Don State Technical University, Rostov-on-Don, Russia

Abstract: We prove that if the function determining a linear functional over the Hardy space is analytic on the disk of radius greater than 1 then the extremal function of this functional is analytic on the same disk.

Keywords: Hardy space, linear functional, extremal function, uniqueness, derivative.

UDC: 517.53/57

Received: 26.05.2016

DOI: 10.17377/smzh.2017.58.303