Non-transversal multilinear duality and joints

• Anthony Carbery ^[1] ; Michael Chi Yung Tang ^[1]
  1. [1] University of Edinburgh

     University of Edinburgh

     Reino Unido

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº Extra 7, 2022 (Ejemplar dedicado a: Special issue in honor of Antonio Córdoba and José Luis Fernández), págs. 2385-2404
• Idioma: inglés
• DOI: 10.4171/RMI/1402
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• Resumen

  • We develop a framework for a duality theory for general multilinear operators which extends that for transversal multilinear operators which has been established by Carbery, Hänninen and Valdimarsson (2022). We apply it to the setting of joints and multijoints, and obtain a “factorisation” theorem which provides an analogue in the discrete setting of results of Bourgain and Guth from the Euclidean setting