Pitt inequalities and restriction theorems for the Fourier transform

• Laura De Carli ^[1] ; Dmitry Gorbachev ^[2] ; Sergey Tikhonov ^[3]
  1. [1] Florida International University

     Florida International University

     Estados Unidos

     
  2. [2] Tula State University

     Tula State University

     Rusia

     
  3. [3] Universitat Autònoma de Barcelona

     Universitat Autònoma de Barcelona

     Barcelona, España

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 3, 2017 (Ejemplar dedicado a: Yves Meyer), págs. 789-808
• Idioma: inglés
• DOI: 10.4171/RMI/955
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove new Pitt inequalities for the Fourier transforms with radial and non-radial weights using weighted restriction inequalities for the Fourier transform on the sphere. We also prove new Riemann–Lebesgue estimates and versions of the uncertainty principle for the Fourier transform.