JournalsrmiVol. 38, No. 1pp. 33–52

Small cap decoupling inequalities: Bilinear methods

  • Changkeun Oh

    University of Wisconsin-Madison, USA
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Abstract

We obtain sharp small cap decoupling inequalities associated to the moment curve for certain range of exponents . Our method is based on the bi-linearization argument due to Bourgain and Demeter. Our result generalizes theirs to all higher dimensions.

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Changkeun Oh, Small cap decoupling inequalities: Bilinear methods. Rev. Mat. Iberoam. 38 (2022), no. 1, pp. 33–52

DOI 10.4171/RMI/1270