Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness

• Jiao Chen ^[1] ; Guozhen Lu ^[2]
  1. [1] Beijing Normal University

     Beijing Normal University

     China

     
  2. [2] University of Connecticut

     University of Connecticut

     Town of Mansfield, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 34, Nº 4, 2018, págs. 1541-1561
• Idioma: inglés
• DOI: 10.4171/rmi/1035
• Texto completo no disponible (Saber más ...)
• Resumen

  • he main purpose of this paper is to establish, using the bi-parameter Littlewood–Paley–Stein theory (in particular, the bi-parameter Littlewood–Paley–Stein square functions), a Hörmander–Mihlin type theorem for the following bi-parameter Fourier multipliers on bi-parameter Hardy spaces Hp(Rn1×Rn2) (0