The measures with an associated square function operator bounded in L2

Benjamin Jaye, Fedor Nazarov, Xavier Tolsa

Research output: Contribution to journalArticleResearch

2 Citations (Scopus)

Abstract

© 2018 Elsevier Inc. In this paper we provide an extension of a theorem of David and Semmes [3] to general non-atomic measures. The result provides a geometric characterization of the non-atomic measures for which a certain class of square function operators, or singular integral operators, are bounded in L2. The description is given in terms of a modification of Jones’ β-coefficients.
Original languageEnglish
Pages (from-to)60-112
JournalAdvances in Mathematics
Volume339
DOIs
Publication statusPublished - 1 Dec 2018

Keywords

  • Geometric measure theory
  • Singular integral operators

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