Localised variants of multilinear restriction

• Beltran, David ^[1] ; Duncan, Jennifer ^[2] ; Hickman, Jonathan ^[3]
  1. [1] Universitat de València

     Universitat de València

     Valencia, España

     
  2. [2] Universidad Autónoma de Madrid

     Universidad Autónoma de Madrid

     Madrid, España

     
  3. [3] University of Edinburgh

     University of Edinburgh

     Reino Unido

     

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• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 70, Nº 1, 2026, págs. 133-160
• Idioma: inglés
• DOI: 10.5565/publmat7012606
• Texto completo no disponible (Saber más ...)
• Resumen

  • We revisit certain localised variants of the Bennett–Carbery–Tao multilinear restriction theorem, recently proved by Bejenaru. We give a new proof of Bejenaru’s theorem, relating the estimates to the theory of Kakeya–Brascamp–Lieb inequalities. Moreover, the new proof allows for a substantial generalisation, exploiting the full power of the Kakeya–Brascamp–Lieb theory.