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ANALYTIC SCHUR MULTIPLIERS. / Aleksandrov, A.B.; Peller, V.V.

In: Proceedings of the American Mathematical Society, Vol. 154, No. 3, 14.01.2026, p. 1207-1216.

Research output: Contribution to journalArticlepeer-review

Harvard

Aleksandrov, AB & Peller, VV 2026, 'ANALYTIC SCHUR MULTIPLIERS', Proceedings of the American Mathematical Society, vol. 154, no. 3, pp. 1207-1216. https://doi.org/10.1090/proc/17531

APA

Aleksandrov, A. B., & Peller, V. V. (2026). ANALYTIC SCHUR MULTIPLIERS. Proceedings of the American Mathematical Society, 154(3), 1207-1216. https://doi.org/10.1090/proc/17531

Vancouver

Aleksandrov AB, Peller VV. ANALYTIC SCHUR MULTIPLIERS. Proceedings of the American Mathematical Society. 2026 Jan 14;154(3):1207-1216. https://doi.org/10.1090/proc/17531

Author

Aleksandrov, A.B. ; Peller, V.V. / ANALYTIC SCHUR MULTIPLIERS. In: Proceedings of the American Mathematical Society. 2026 ; Vol. 154, No. 3. pp. 1207-1216.

BibTeX

@article{cfad11ef697a415e84a6aaac8b1a71ee,
title = "ANALYTIC SCHUR MULTIPLIERS",
abstract = "We study in this paper analytic Schur multipliers on (Formula Presented), i.e. Schur multipliers on (Formula Presented) and (Formula Presented) that are boundary-value functions of functions analytic in (Formula Presented). Such Schur multipliers are important when studying properties of functions of maximal dissipative operators and contrac tions under perturbation. We show that if the boundary-value function of a Schur multiplier has certain regularity properties, then it can be represented as an element of the Haagerup tensor product of spaces of analytic functions with similar regularity properties. {\textcopyright} 2026 American Mathematical Society",
author = "A.B. Aleksandrov and V.V. Peller",
note = "Export Date: 29 March 2026; Cited By: 0",
year = "2026",
month = jan,
day = "14",
doi = "10.1090/proc/17531",
language = "Английский",
volume = "154",
pages = "1207--1216",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "3",

}

RIS

TY - JOUR

T1 - ANALYTIC SCHUR MULTIPLIERS

AU - Aleksandrov, A.B.

AU - Peller, V.V.

N1 - Export Date: 29 March 2026; Cited By: 0

PY - 2026/1/14

Y1 - 2026/1/14

N2 - We study in this paper analytic Schur multipliers on (Formula Presented), i.e. Schur multipliers on (Formula Presented) and (Formula Presented) that are boundary-value functions of functions analytic in (Formula Presented). Such Schur multipliers are important when studying properties of functions of maximal dissipative operators and contrac tions under perturbation. We show that if the boundary-value function of a Schur multiplier has certain regularity properties, then it can be represented as an element of the Haagerup tensor product of spaces of analytic functions with similar regularity properties. © 2026 American Mathematical Society

AB - We study in this paper analytic Schur multipliers on (Formula Presented), i.e. Schur multipliers on (Formula Presented) and (Formula Presented) that are boundary-value functions of functions analytic in (Formula Presented). Such Schur multipliers are important when studying properties of functions of maximal dissipative operators and contrac tions under perturbation. We show that if the boundary-value function of a Schur multiplier has certain regularity properties, then it can be represented as an element of the Haagerup tensor product of spaces of analytic functions with similar regularity properties. © 2026 American Mathematical Society

UR - https://www.mendeley.com/catalogue/9084cd10-a221-3e14-856b-2f58fd9ebed6/

U2 - 10.1090/proc/17531

DO - 10.1090/proc/17531

M3 - статья

VL - 154

SP - 1207

EP - 1216

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 3

ER -

ID: 151308315