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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 journal › Article › peer-review
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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