Weighted norm inequalities for commutators of BMO functions and singular integral operators with non-smooth kernels

The Anh Bui, Xuan Thinh Duong*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    The aim of this paper is to establish a sufficient condition for certain weighted norm inequalities for singular integral operators with non-smooth kernels and for the commutators of these singular integrals with BMO functions. Our condition is applicable to various singular integral operators, such as the second derivatives of Green operators associated with Dirichlet and Neumann problems on convex domains, the spectral multipliers of non-negative self-adjoint operators with Gaussian upper bounds, and the Riesz transforms associated with magnetic Schrödinger operators.

    Original languageEnglish
    Pages (from-to)1368-1397
    Number of pages30
    JournalJournal of Geometric Analysis
    Volume24
    Issue number3
    DOIs
    Publication statusPublished - Jul 2014

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