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
DOI: 10.1007/s13163-015-0178-6
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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.