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

The Anh Bui*

*Corresponding author for this work

    Research output: Contribution to journalArticle

    18 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 languageEnglish
    Pages (from-to)270-292
    Number of pages23
    JournalBulletin des Sciences Mathematiques
    Volume138
    Issue number2
    DOIs
    Publication statusPublished - Mar 2014

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