A+ CATEGORY SCIENTIFIC UNIT

Boundedness of commutators of an oscillatory integral operator

Volume 186 / 2008

Xia Xia, Shanzhen Lu Studia Mathematica 186 (2008), 15-27 MSC: Primary 42B20; Secondary 42B35. DOI: 10.4064/sm186-1-3

Abstract

We obtain a necessary and sufficient condition for $L^p$ boundedness of commutators of certain oscillatory integral operators and Lipschitz functions.

Authors

  • Xia XiaSchool of Mathematical Sciences
    Beijing Normal University
    Beijing, 100875, P.R. China
    and
    School of Mathematical Sciences
    Tianjin Normal University
    Tianjin, 300387, P.R. China
    e-mail
  • Shanzhen LuSchool of Mathematical Sciences
    Beijing Normal University
    Beijing, 100875, P.R. China
    e-mail

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