Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces

• Denny Ivanal Hakim ^[1] ; Eiichi Nakai ^[2] ; Yoshihiro Sawano ^[1]
  1. [1] Tokyo Metropolitan University

     Tokyo Metropolitan University

     Japón

     
  2. [2] Ibaraki University

     Ibaraki University

     Japón

     
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 29, Nº 1, 2016, págs. 59-90
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In the present paper, we shall give a necessary and sufficient condition for the weak/strong boundedness of generalized fractional maximal operators on generalized Orlicz–Morrey spaces. We also give necessary and sufficient conditions for the vector-valued inequalities of the Hardy–Littlewood maximal operator, generalized fractional maximal operators and singular integral operators on these function spaces.