Weighted estimates for commutators of some singular integrals related to Schrodinger operators

The Anh Bui

doi:10.1016/j.bulsci.2013.06.007

Weighted estimates for commutators of some singular integrals related to Schrodinger operators

The Anh Bui^*

^*Corresponding author for this work

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

25 Citations (Scopus)

Abstract

Let L= -δ+V be a Schrödinger operator with a non-negative potential V satisfying some appropriate reverse Hölder inequality. In this paper, we study the boundedness of the commutators of some singular integrals associated to L such as the Riesz transforms and fractional integrals with the new BMO functions introduced in Bongioanni et al. (2011) [1] on the weighted spaces Lp(w) where w belongs to the new classes of weights introduced by Bongioanni et al. (2011) [2].

Original language	English
Pages (from-to)	270-292
Number of pages	23
Journal	Bulletin des Sciences Mathematiques
Volume	138
Issue number	2
DOIs	https://doi.org/10.1016/j.bulsci.2013.06.007
Publication status	Published - Mar 2014

Access to Document

10.1016/j.bulsci.2013.06.007

Cite this

@article{b16734f38b494bdea1f200baf7e8dcb6,

title = "Weighted estimates for commutators of some singular integrals related to Schrodinger operators",

abstract = "Let L= -δ+V be a Schr{\"o}dinger operator with a non-negative potential V satisfying some appropriate reverse H{\"o}lder inequality. In this paper, we study the boundedness of the commutators of some singular integrals associated to L such as the Riesz transforms and fractional integrals with the new BMO functions introduced in Bongioanni et al. (2011) [1] on the weighted spaces Lp(w) where w belongs to the new classes of weights introduced by Bongioanni et al. (2011) [2].",

author = "Bui, {The Anh}",

year = "2014",

month = mar,

doi = "10.1016/j.bulsci.2013.06.007",

language = "English",

volume = "138",

pages = "270--292",

journal = "Bulletin des Sciences Mathematiques",

issn = "0007-4497",

publisher = "Gauthier-Villars/Editions Elsevier",

number = "2",

}

TY - JOUR

T1 - Weighted estimates for commutators of some singular integrals related to Schrodinger operators

AU - Bui, The Anh

PY - 2014/3

Y1 - 2014/3

N2 - Let L= -δ+V be a Schrödinger operator with a non-negative potential V satisfying some appropriate reverse Hölder inequality. In this paper, we study the boundedness of the commutators of some singular integrals associated to L such as the Riesz transforms and fractional integrals with the new BMO functions introduced in Bongioanni et al. (2011) [1] on the weighted spaces Lp(w) where w belongs to the new classes of weights introduced by Bongioanni et al. (2011) [2].

AB - Let L= -δ+V be a Schrödinger operator with a non-negative potential V satisfying some appropriate reverse Hölder inequality. In this paper, we study the boundedness of the commutators of some singular integrals associated to L such as the Riesz transforms and fractional integrals with the new BMO functions introduced in Bongioanni et al. (2011) [1] on the weighted spaces Lp(w) where w belongs to the new classes of weights introduced by Bongioanni et al. (2011) [2].

UR - http://www.scopus.com/inward/record.url?scp=84897610356&partnerID=8YFLogxK

U2 - 10.1016/j.bulsci.2013.06.007

DO - 10.1016/j.bulsci.2013.06.007

M3 - Article

AN - SCOPUS:84897610356

VL - 138

SP - 270

EP - 292

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

SN - 0007-4497

IS - 2

ER -

Weighted estimates for commutators of some singular integrals related to Schrodinger operators

Abstract

Access to Document

Other files and links

Fingerprint

Cite this