Small cap decoupling inequalities: Bilinear methods

• Changkeun Oh ^[1]
  1. [1] University of Wisconsin–Madison

     University of Wisconsin–Madison

     City of Madison, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 1, 2022, págs. 33-52
• Idioma: inglés
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• Resumen

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