Standard

Weighted estimates for the laplacian on the cubic lattice. / Korotyaev, Evgeny L.; Møller, Jacob Schach.

In: Arkiv for Matematik, Vol. 57, No. 2, 01.01.2019, p. 397-428.

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

Harvard

Korotyaev, EL & Møller, JS 2019, 'Weighted estimates for the laplacian on the cubic lattice', Arkiv for Matematik, vol. 57, no. 2, pp. 397-428. https://doi.org/10.4310/ARKIV.2019.v57.n2.a8

APA

Korotyaev, E. L., & Møller, J. S. (2019). Weighted estimates for the laplacian on the cubic lattice. Arkiv for Matematik, 57(2), 397-428. https://doi.org/10.4310/ARKIV.2019.v57.n2.a8

Vancouver

Korotyaev EL, Møller JS. Weighted estimates for the laplacian on the cubic lattice. Arkiv for Matematik. 2019 Jan 1;57(2):397-428. https://doi.org/10.4310/ARKIV.2019.v57.n2.a8

Author

Korotyaev, Evgeny L. ; Møller, Jacob Schach. / Weighted estimates for the laplacian on the cubic lattice. In: Arkiv for Matematik. 2019 ; Vol. 57, No. 2. pp. 397-428.

BibTeX

@article{eaaacfe11e6b4bad8acc7a13316eb87b,
title = "Weighted estimates for the laplacian on the cubic lattice",
abstract = "We consider the discrete Laplacian Δ on the cubic lattice Zd, and deduce estimates on the group eitΔ and the resolvent (Δ−z)−1,weightedbyℓq (Zd)-weights for suitable q≥2. We apply the obtained results to discrete Schr{\"o}dinger operators in dimension d≥3 with potentials from ℓp(Zd) with suitable p≥1.",
keywords = "Bessel function, Birman-Schwinger, discrete Laplacian, Resolvent, BESSEL-FUNCTIONS, DISCRETE SCHRODINGER-OPERATORS, SPECTRAL PROPERTIES, resolvent",
author = "Korotyaev, {Evgeny L.} and M{\o}ller, {Jacob Schach}",
year = "2019",
month = jan,
day = "1",
doi = "10.4310/ARKIV.2019.v57.n2.a8",
language = "English",
volume = "57",
pages = "397--428",
journal = "Arkiv for Matematik",
issn = "0004-2080",
publisher = "International Press of Boston, Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Weighted estimates for the laplacian on the cubic lattice

AU - Korotyaev, Evgeny L.

AU - Møller, Jacob Schach

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We consider the discrete Laplacian Δ on the cubic lattice Zd, and deduce estimates on the group eitΔ and the resolvent (Δ−z)−1,weightedbyℓq (Zd)-weights for suitable q≥2. We apply the obtained results to discrete Schrödinger operators in dimension d≥3 with potentials from ℓp(Zd) with suitable p≥1.

AB - We consider the discrete Laplacian Δ on the cubic lattice Zd, and deduce estimates on the group eitΔ and the resolvent (Δ−z)−1,weightedbyℓq (Zd)-weights for suitable q≥2. We apply the obtained results to discrete Schrödinger operators in dimension d≥3 with potentials from ℓp(Zd) with suitable p≥1.

KW - Bessel function

KW - Birman-Schwinger

KW - discrete Laplacian

KW - Resolvent

KW - BESSEL-FUNCTIONS

KW - DISCRETE SCHRODINGER-OPERATORS

KW - SPECTRAL PROPERTIES

KW - resolvent

UR - http://www.scopus.com/inward/record.url?scp=85074108166&partnerID=8YFLogxK

U2 - 10.4310/ARKIV.2019.v57.n2.a8

DO - 10.4310/ARKIV.2019.v57.n2.a8

M3 - Article

AN - SCOPUS:85074108166

VL - 57

SP - 397

EP - 428

JO - Arkiv for Matematik

JF - Arkiv for Matematik

SN - 0004-2080

IS - 2

ER -

ID: 48515856