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Schatten Class Conditions for Functions of Schrödinger Operators

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Schatten Class Conditions for Functions of Schrödinger Operators. / Frank, Rupert L.; Pushnitski, Alexander.

In: Annales Henri Poincare, Vol. 20, No. 11, 01.11.2019, p. 3543-3562.

Research output: Contribution to journalArticle

Harvard

Frank, RL & Pushnitski, A 2019, 'Schatten Class Conditions for Functions of Schrödinger Operators', Annales Henri Poincare, vol. 20, no. 11, pp. 3543-3562. https://doi.org/10.1007/s00023-019-00838-8

APA

Frank, R. L., & Pushnitski, A. (2019). Schatten Class Conditions for Functions of Schrödinger Operators. Annales Henri Poincare, 20(11), 3543-3562. https://doi.org/10.1007/s00023-019-00838-8

Vancouver

Frank RL, Pushnitski A. Schatten Class Conditions for Functions of Schrödinger Operators. Annales Henri Poincare. 2019 Nov 1;20(11):3543-3562. https://doi.org/10.1007/s00023-019-00838-8

Author

Frank, Rupert L. ; Pushnitski, Alexander. / Schatten Class Conditions for Functions of Schrödinger Operators. In: Annales Henri Poincare. 2019 ; Vol. 20, No. 11. pp. 3543-3562.

Bibtex Download

@article{2e706a7433c94baf86adf2a1f68d0823,
title = "Schatten Class Conditions for Functions of Schr{\"o}dinger Operators",
abstract = "We consider the difference f(H1) - f(H) , where H= - Δ and H1= - Δ + V are the free and the perturbed Schr{\"o}dinger operators in L2(Rd) , respectively, in which V is a real-valued short range potential. We give a sufficient condition for this difference to belong to a given Schatten class Sp, depending on the rate of decay of the potential and on the smoothness of f (stated in terms of the membership in a Besov class). In particular, for p> 1 we allow for some unbounded functions f.",
author = "Frank, {Rupert L.} and Alexander Pushnitski",
year = "2019",
month = "11",
day = "1",
doi = "10.1007/s00023-019-00838-8",
language = "English",
volume = "20",
pages = "3543--3562",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Birkhauser Verlag Basel",
number = "11",

}

RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Schatten Class Conditions for Functions of Schrödinger Operators

AU - Frank, Rupert L.

AU - Pushnitski, Alexander

PY - 2019/11/1

Y1 - 2019/11/1

N2 - We consider the difference f(H1) - f(H) , where H= - Δ and H1= - Δ + V are the free and the perturbed Schrödinger operators in L2(Rd) , respectively, in which V is a real-valued short range potential. We give a sufficient condition for this difference to belong to a given Schatten class Sp, depending on the rate of decay of the potential and on the smoothness of f (stated in terms of the membership in a Besov class). In particular, for p> 1 we allow for some unbounded functions f.

AB - We consider the difference f(H1) - f(H) , where H= - Δ and H1= - Δ + V are the free and the perturbed Schrödinger operators in L2(Rd) , respectively, in which V is a real-valued short range potential. We give a sufficient condition for this difference to belong to a given Schatten class Sp, depending on the rate of decay of the potential and on the smoothness of f (stated in terms of the membership in a Besov class). In particular, for p> 1 we allow for some unbounded functions f.

UR - http://www.scopus.com/inward/record.url?scp=85073614824&partnerID=8YFLogxK

U2 - 10.1007/s00023-019-00838-8

DO - 10.1007/s00023-019-00838-8

M3 - Article

AN - SCOPUS:85073614824

VL - 20

SP - 3543

EP - 3562

JO - Annales Henri Poincare

JF - Annales Henri Poincare

SN - 1424-0637

IS - 11

ER -

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