APPROXIMATION OF DIFFERENTIATION OPERATORS BY BOUNDED LINEAR OPERATORS IN LEBESGUE SPACES ON THE AXIS AND RELATED PROBLEMS IN THE SPACES OF (p,q)-MULTIPLIERS AND THEIR PREDUAL SPACES
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| Заглавие |
APPROXIMATION OF DIFFERENTIATION OPERATORS BY BOUNDED LINEAR OPERATORS IN LEBESGUE SPACES ON THE AXIS AND RELATED PROBLEMS IN THE SPACES OF (p,q)-MULTIPLIERS AND THEIR PREDUAL SPACES
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| Автор |
Arestov, V. V.
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| Тематика |
(P, Q)-MULTIPLIER
DIFFERENTIATION OPERATOR KOLMOGOROV INEQUALITY PREDUAL SPACE FOR THE SPACE OF (P, Q)-MULTIPLIERS STECHKIN’S PROBLEM |
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| Описание |
We consider a variant En,k (N; r, r; p, p) of the four-parameter Stechkin problem En,k (N; r, s; p, q) on the best approximation of differentiation operators of order k on the class of n times differentiable functions (0 < k < n) in Lebesgue spaces on the real axis. We discuss the state of research in this problem and related problems in the spaces of multipliers of Lebesgue spaces and their predual spaces. We give two-sided estimates for En,k (N; r, r; p, p). The paper is based on the author’s talk at the S.B.Stechkin’s International Workshop-Conference on Function Theory (Kyshtym, Chelyabinsk region, August 1–10, 2023). © 2023, Krasovskii Institute of Mathematics and Mechanics. All rights reserved.
Russian Science Foundation, RSF: 22-21-00526 1This work was supported by the Russian Science Foundation, https://rscf.ru/project/22-21-00526/ . 1This work was supported by the Russian Science Foundation, project no. 22-21-00526, https://rscf.ru/project/22-21-00526/. |
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| Дата |
2024-04-05T16:38:46Z
2024-04-05T16:38:46Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Arestov, V 2023, 'APPROXIMATION OF DIFFERENTIATION OPERATORS BY BOUNDED LINEAR OPERATORS IN LEBESGUE SPACES ON THE AXIS AND RELATED PROBLEMS IN THE SPACES OF \((p,q)\)-MULTIPLIERS AND THEIR PREDUAL SPACES', Ural Mathematical Journal, Том. 9, № 2, стр. 4-27. https://doi.org/10.15826/umj.2023.2.001
Arestov, V. (2023). APPROXIMATION OF DIFFERENTIATION OPERATORS BY BOUNDED LINEAR OPERATORS IN LEBESGUE SPACES ON THE AXIS AND RELATED PROBLEMS IN THE SPACES OF \((p,q)\)-MULTIPLIERS AND THEIR PREDUAL SPACES. Ural Mathematical Journal, 9(2), 4-27. https://doi.org/10.15826/umj.2023.2.001 2414-3952 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85180912425&doi=10.15826%2fumj.2023.2.001&partnerID=40&md5=ea722edcf94d9218a6b2b504c3540d85 https://umjuran.ru/index.php/umj/article/download/701/pdf http://elar.urfu.ru/handle/10995/131093 59690638 10.15826/umj.2023.2.001 85180912425 |
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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)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Krasovskii Institute of Mathematics and Mechanics
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| Источник |
Ural Mathematical Journal
Ural Mathematical Journal |
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