Oscillation and Variation for Singular Integrals in Higher Dimensions

نویسندگان

  • JAMES T. CAMPBELL
  • ROGER L. JONES
  • KARIN REINHOLD
چکیده

In this paper we continue our investigations of square function inequalities in harmonic analysis. Here we investigate oscillation and variation inequalities for singular integral operators in dimensions d ≥ 1. Our estimates give quantitative information on the speed of convergence of truncations of a singular integral operator, including upcrossing and λ jump inequalities.

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تاریخ انتشار 2003