Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity

• Shuichi Sato ^[1]
  1. [1] Kanazawa University

     Kanazawa University

     Japón

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 125, Nº 1, 2019, págs. 135-162
• Idioma: inglés
• DOI: 10.7146/math.scand.a-114725
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove the endpoint weak type estimate for square functions of Marcinkiewicz type with fractional integrals associated with non-isotropic dilations. This generalizes a result of C. Fefferman on functions of Marcinkiewicz type by considering fractional integrals of mixed homogeneity in place of the Riesz potentials of Euclidean structure.