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The composition of singular integral operators with nonsmooth kernels

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  • Guoen Hu
  • Yandan Zhang

Abstract

Let T1, T2 be two singular integral operators with nonsmooth kernels introduced by Duong and McIntosh. In this paper, by establishing certain bi‐sublinear sparse dominations, the authors obtain some quantitative bounds on Lp(Rn,w) with p∈(1,∞) and w∈Ap(Rn) for the composite operator T1T2. Some weighted weak type endpoint estimates are also given.

Suggested Citation

  • Guoen Hu & Yandan Zhang, 2021. "The composition of singular integral operators with nonsmooth kernels," Mathematische Nachrichten, Wiley Blackwell, vol. 294(11), pages 2160-2183, November.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:11:p:2160-2183
    DOI: 10.1002/mana.201970001
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