Interpolation for intersections of Hardy-type spaces

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Interpolation for intersections of Hardy-type spaces. / Kislyakov, Sergei V.; Zlotnikov, Ilya K.

In: Israel Journal of Mathematics, Vol. 239, No. 1, 01.08.2020, p. 21-38.

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

Author

Kislyakov, Sergei V. ; Zlotnikov, Ilya K. / Interpolation for intersections of Hardy-type spaces. In: Israel Journal of Mathematics. 2020 ; Vol. 239, No. 1. pp. 21-38.

BibTeX

@article{9a556638d6a64a868c4ea27da8ddb0af,

title = "Interpolation for intersections of Hardy-type spaces",

abstract = "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.",

author = "Kislyakov, {Sergei V.} and Zlotnikov, {Ilya K.}",

note = "Publisher Copyright: {\textcopyright} 2020, The Hebrew University of Jerusalem. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; null ; Conference date: 10-02-2019 Through 14-02-2019",

year = "2020",

month = aug,

day = "1",

doi = "10.1007/s11856-020-2029-5",

language = "English",

volume = "239",

pages = "21--38",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer Nature",

number = "1",

url = "https://u.math.biu.ac.il/~levnir/conferences/olevskii80/",

}

RIS

TY - JOUR

T1 - Interpolation for intersections of Hardy-type spaces

AU - Kislyakov, Sergei V.

AU - Zlotnikov, Ilya K.

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