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Cwikel type estimates for the bordered Airy transform. / Sloushch, V. A.

In: St. Petersburg Mathematical Journal, Vol. 29, No. 2, 01.01.2018, p. 315-323.

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

Harvard

Sloushch, VA 2018, 'Cwikel type estimates for the bordered Airy transform', St. Petersburg Mathematical Journal, vol. 29, no. 2, pp. 315-323. https://doi.org/10.1090/spmj/1495

APA

Sloushch, V. A. (2018). Cwikel type estimates for the bordered Airy transform. St. Petersburg Mathematical Journal, 29(2), 315-323. https://doi.org/10.1090/spmj/1495

Vancouver

Sloushch VA. Cwikel type estimates for the bordered Airy transform. St. Petersburg Mathematical Journal. 2018 Jan 1;29(2):315-323. https://doi.org/10.1090/spmj/1495

Author

Sloushch, V. A. / Cwikel type estimates for the bordered Airy transform. In: St. Petersburg Mathematical Journal. 2018 ; Vol. 29, No. 2. pp. 315-323.

BibTeX

@article{b1f56443c8ec44c4b1a7c27e96518389,
title = "Cwikel type estimates for the bordered Airy transform",
abstract = "Compactness conditions as well as estimates for singular values of the bordered Airy transform fAg in L2(ℝ) are studied for suitable functions f(x), g(x), x ∈ ℝ. Sufficient conditions for the operator fAg to be in the Schatten-von Neumann class Sp, p ∈ (0, 2), are obtained. In particular, certain conditions ensuring that the operator fAg is in trace class are given.",
keywords = "Airy transform, Classes of compact operators, Estimates for singular values, Integral operators",
author = "Sloushch, {V. A.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1090/spmj/1495",
language = "English",
volume = "29",
pages = "315--323",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "2",

}

RIS

TY - JOUR

T1 - Cwikel type estimates for the bordered Airy transform

AU - Sloushch, V. A.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Compactness conditions as well as estimates for singular values of the bordered Airy transform fAg in L2(ℝ) are studied for suitable functions f(x), g(x), x ∈ ℝ. Sufficient conditions for the operator fAg to be in the Schatten-von Neumann class Sp, p ∈ (0, 2), are obtained. In particular, certain conditions ensuring that the operator fAg is in trace class are given.

AB - Compactness conditions as well as estimates for singular values of the bordered Airy transform fAg in L2(ℝ) are studied for suitable functions f(x), g(x), x ∈ ℝ. Sufficient conditions for the operator fAg to be in the Schatten-von Neumann class Sp, p ∈ (0, 2), are obtained. In particular, certain conditions ensuring that the operator fAg is in trace class are given.

KW - Airy transform

KW - Classes of compact operators

KW - Estimates for singular values

KW - Integral operators

UR - http://www.scopus.com/inward/record.url?scp=85043509397&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=35508303

U2 - 10.1090/spmj/1495

DO - 10.1090/spmj/1495

M3 - Article

AN - SCOPUS:85043509397

VL - 29

SP - 315

EP - 323

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 2

ER -

ID: 37263726