On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves. The Banach triangle case (Lr,1≤r<∞)

• Victor Lie ^[1]
  1. [1] Purdue University

     Purdue University

     Township of Wabash, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 1, 2018, págs. 331-353
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We show that the bilinear Hilbert transform HΓ along curves Γ=(t,−γ(t)) with γ∈NFC is bounded from Lp(R)×Lq(R)→Lr(R) where p,q,r are