Revista Matemática Complutense

, Volume 29, Issue 1, pp 59–90 | Cite as

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

  • Denny Ivanal Hakim
  • Eiichi Nakai
  • Yoshihiro Sawano


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.


Generalized fractional maximal operators Generalized Orlicz–Morrey spaces Hardy–Littlewood maximal operator Singular integral operators Vector-valued inequalities 

Mathematics Subject Classification

42B35 42B25 


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Copyright information

© Universidad Complutense de Madrid 2015

Authors and Affiliations

  1. 1.Department of Mathematics and Information SciencesTokyo Metropolitan UniversityHachiojiJapan
  2. 2.Department of MathematicsIbaraki UniversityMitoJapan

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