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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. / Arestov, Vitalii.
In: Ural Mathematical Journal, Vol. 9, No. 2, 2023, p. 4-27.

Research output: Contribution to journal › Article › peer-review

Harvard

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, vol. 9, no. 2, pp. 4-27. https://doi.org/10.15826/umj.2023.2.001

APA

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

Vancouver

Arestov V. 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. 2023;9(2):4-27. doi: 10.15826/umj.2023.2.001

Author

Arestov, Vitalii. / 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. In: Ural Mathematical Journal. 2023 ; Vol. 9, No. 2. pp. 4-27.

BibTeX

@article{61eaaee5b0094d24bc52dea35046dcb9,
title = "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",
abstract = "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{\textquoteright}s talk at the S.B.Stechkin{\textquoteright}s International Workshop-Conference on Function Theory (Kyshtym, Chelyabinsk region, August 1–10, 2023). {\textcopyright} 2023, Krasovskii Institute of Mathematics and Mechanics. All rights reserved.",
author = "Vitalii Arestov",
note = "Текст о финансировании #1 1This work was supported by the Russian Science Foundation, https://rscf.ru/project/22-21-00526/ . Текст о финансировании #2 1This work was supported by the Russian Science Foundation, project no. 22-21-00526, https://rscf.ru/project/22-21-00526/.",
year = "2023",
doi = "10.15826/umj.2023.2.001",
language = "English",
volume = "9",
pages = "4--27",
journal = "Ural Mathematical Journal",
issn = "2414-3952",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН",
number = "2",

}

RIS

TY - JOUR

T1 - 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

AU - Arestov, Vitalii

N1 - Текст о финансировании #1 1This work was supported by the Russian Science Foundation, https://rscf.ru/project/22-21-00526/ . Текст о финансировании #2 1This work was supported by the Russian Science Foundation, project no. 22-21-00526, https://rscf.ru/project/22-21-00526/.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85180912425

UR - https://www.elibrary.ru/item.asp?id=59690638

U2 - 10.15826/umj.2023.2.001

DO - 10.15826/umj.2023.2.001

M3 - Article

VL - 9

SP - 4

EP - 27

JO - Ural Mathematical Journal

JF - Ural Mathematical Journal

SN - 2414-3952

IS - 2

ER -

ID: 50639537