Bernstein-Szegő inequality for the Riesz derivative of trigonometric polynomials in Lp-spaces, 0 ⩽ p ⩽ ∞, with classical value of the sharp constant
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Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Bernstein-Szegő inequality for the Riesz derivative of trigonometric polynomials in Lp-spaces, 0 ⩽ p ⩽ ∞, with classical value of the sharp constant
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| Автор |
Leont’eva, A. O.
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| Тематика |
BERNSTEIN-SZEGŐ INEQUALITY
RIESZ DERIVATIVE SPACE L0 TRIGONOMETRIC POLYNOMIAL |
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| Описание |
The Bernstein-Szegő inequality for the Weyl derivative of real order α ⩾ 0 of trigonometric polynomials of degree n is considered. The aim is to find values of the parameters for which the sharp constant in this inequality is equal to nα (the classical value) in all Lp-spaces, 0 ⩽ p ⩽ ∞. The set of all such α is described for some important particular cases of the Weyl-Szegő derivative, namely, for the Riesz derivative and for the conjugate Riesz derivative, for all n ∈ N. © 2023 Russian Academy of Sciences,.
Russian Science Foundation, RSF: 22-21-00526 Supported by the Russian Science Foundation under project no. 22-21-00526, https://rscf.ru/en/project/22-21-00526/. Supported by the Russian Science Foundation under project no. https://rscf.ru/en/project/22-21-00526/. AMS 2020 Mathematics Subject Classification. Primary 42A05, 26D05, 26A33. |
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| Дата |
2024-04-05T16:33:28Z
2024-04-05T16:33:28Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Leont'eva, A 2023, 'Bernstein-Szegő inequality for the Riesz derivative of trigonometric polynomials in Lp-spaces, 0 ⩽ p ⩽ ∞, with classical value of the sharp constant', Sbornik: Mathematics, Том. 214, № 3, стр. 411-428. https://doi.org/10.4213/sm9822e
Leont'eva, A. (2023). Bernstein-Szegő inequality for the Riesz derivative of trigonometric polynomials in Lp-spaces, 0 ⩽ p ⩽ ∞, with classical value of the sharp constant. Sbornik: Mathematics, 214(3), 411-428. https://doi.org/10.4213/sm9822e 1064-5616 Final All Open Access, Bronze https://www.scopus.com/inward/record.uri?eid=2-s2.0-85172709895&doi=10.4213%2fsm9822e&partnerID=40&md5=d2af41324d8ec14eccaebe23800da457 https://www.mathnet.ru/php/getFT.phtml?jrnid=sm&paperid=9822&what=fullteng&option_lang=eng http://elar.urfu.ru/handle/10995/130817 10.4213/sm9822e 85172709895 001075677500007 |
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| Язык |
en
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| Связанные ресурсы |
info:eu-repo/grantAgreement/RSF//22-21-00526
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| Права |
Open access (info:eu-repo/semantics/openAccess)
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| Формат |
application/pdf
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| Издатель |
Steklov Mathematical Institute of Russian Academy of Sciences
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| Источник |
Sbornik: Mathematics
Sbornik Mathematics |
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