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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 3, Pages 510–525
DOI: https://doi.org/10.17377/smzh.2017.58.303 (Mi smj2876) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

Kh. Kh. Burchaeva, V. G. Ryabykhb, G. Yu. Ryabykhc

a Chechnya State University, Groznyĭ, Russia
b Southern Federal University, Rostov-on-Don, Russia
c Don State Technical University, Rostov-on-Don, Russia
Full-text PDF (340 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2017.58.303
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-00331
The authors were supported by the Russian Foundation for Basic Research (Grant 15-01-00331).
Received: 26.05.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 3, Pages 392–404
DOI: https://doi.org/10.1134/S003744661703003X
Bibliographic databases:
Document Type: Article
UDC: 517.53/57
Language: Russian
Citation: Kh. Kh. Burchaev, V. G. Ryabykh, G. Yu. Ryabykh, “An extremal problem in the Hardy space $H_p$, $0<p<\infty$”, Sibirsk. Mat. Zh., 58:3 (2017), 510–525; Siberian Math. J., 58:3 (2017), 392–404
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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