Hermite Besov and Triebel–Lizorkin spaces and applications

• Fu Ken Ly ^[1] ; Virginia Naibo ^[2]
  1. [1] University of Sydney

     University of Sydney

     Australia

     
  2. [2] Kansas State University

     Kansas State University

     City of Manhattan, Estados Unidos

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 66, Nº. 1, 2023, págs. 243-263
• Idioma: inglés
• DOI: 10.33044/revuma.4360
• Enlaces
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• Resumen

  • We present an overview of Besov and Triebel–Lizorkin spaces in the Hermite setting and applications on boundedness properties of Hermite pseudo-multipliers and fractional Leibniz rules in such spaces. We also give a new weighted estimate for Hermite multipliers for weights related to Hermite operators.