Fourier multipliers on anisotropic mixed-norm spaces of distributions

• Galatia Cleanthous ^[1] ; Athanasios G. Georgiadis ^[2] ; Morten Nielsen ^[2]
  1. [1] Aristotle University of Thessaloniki

     Aristotle University of Thessaloniki

     Dimos Thessaloniki, Grecia

     
  2. [2] Aalborg University

     Aalborg University

     Dinamarca

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 124, Nº 2, 2019, págs. 289-304
• Idioma: inglés
• DOI: 10.7146/math.scand.a-113031
• Texto completo no disponible (Saber más ...)
• Resumen

  • A new general Hörmander type condition involving anisotropies and mixed norms is introduced, and boundedness results for Fourier multipliers on anisotropic Besov and Triebel-Lizorkin spaces of distributions with mixed Lebesgue norms are obtained. As an application, the continuity of such operators is established on mixed Sobolev and Lebesgue spaces too. Some lifting properties and equivalent norms are obtained as well.