Email this article An extremal problem in the Hardy space Hp for 0<p<∞
- Authors: Burchaev K.K.1, Ryabykh V.G.2, Ryabykh G.Y.3
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Affiliations:
- Chechnya State University
- Southern Federal University
- Don State Technical University
- Issue: Vol 58, No 3 (2017)
- Pages: 392-404
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/171184
- DOI: https://doi.org/10.1134/S003744661703003X
- ID: 171184
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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.
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About the authors
Kh. Kh. Burchaev
Chechnya State University
Author for correspondence.
Email: bekhan.burchaev@gmail.com
Russian Federation, Groznyĭ
V. G. Ryabykh
Southern Federal University
Email: bekhan.burchaev@gmail.com
Russian Federation, Rostov-on-Don
G. Yu. Ryabykh
Don State Technical University
Email: bekhan.burchaev@gmail.com
Russian Federation, Rostov-on-Don
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