Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Interpolation for intersections of Hardy-type spaces. / Kislyakov, Sergei V.; Zlotnikov, Ilya K.
в: Israel Journal of Mathematics, Том 239, № 1, 01.08.2020, стр. 21-38.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Interpolation for intersections of Hardy-type spaces
AU - Kislyakov, Sergei V.
AU - Zlotnikov, Ilya K.
N1 - Publisher Copyright: © 2020, The Hebrew University of Jerusalem. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/8/1
Y1 - 2020/8/1
N2 - Let (X, μ) be a space with a finite measure μ, let A and B be w*-closed subalgebras of L∞(μ), and let C and D be closed subspaces of Lp(μ) (1 ∞(μ)) is K-closed in (Lp(μ), L∞(μ)). This statement covers, in particular, two cases analyzed previously: that of Hardy spaces on the two-dimensional torus and that of the coinvariant subspaces of the shift operator on the circle. Furthermore, many situations when A and B are w*-Dirichlet algebras also fit in this pattern.
AB - Let (X, μ) be a space with a finite measure μ, let A and B be w*-closed subalgebras of L∞(μ), and let C and D be closed subspaces of Lp(μ) (1 ∞(μ)) is K-closed in (Lp(μ), L∞(μ)). This statement covers, in particular, two cases analyzed previously: that of Hardy spaces on the two-dimensional torus and that of the coinvariant subspaces of the shift operator on the circle. Furthermore, many situations when A and B are w*-Dirichlet algebras also fit in this pattern.
UR - http://www.scopus.com/inward/record.url?scp=85086382403&partnerID=8YFLogxK
U2 - 10.1007/s11856-020-2029-5
DO - 10.1007/s11856-020-2029-5
M3 - Article
AN - SCOPUS:85086382403
VL - 239
SP - 21
EP - 38
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
SN - 0021-2172
IS - 1
Y2 - 10 February 2019 through 14 February 2019
ER -
ID: 75763443