Revista Matemática Complutense

, Volume 26, Issue 1, pp 1-32

First online:

Integral operators on B σ -Morrey-Campanato spaces

  • Yasuo Komori-FuruyaAffiliated withSchool of High Technology for Human Welfare, Tokai University
  • , Katsuo MatsuokaAffiliated withCollege of Economics, Nihon University
  • , Eiichi NakaiAffiliated withDepartment of Mathematics, Ibaraki University Email author 
  • , Yoshihiro SawanoAffiliated withDepartment of Mathematics, Kyoto University


We show the boundedness of the Hardy-Littlewood maximal operator, singular and fractional integral operators, and more general sublinear operators on B σ -Morrey-Campanato spaces. These function spaces have been introduced recently to unify central Morrey spaces, λ-central mean oscillation spaces and usual Morrey-Campanato spaces. Using the B σ -Morrey-Campanato spaces, we can study both local and global regularities of functions simultaneously, and unify a series of results on the boundedness of operators on several classical function spaces.


Central Morrey space Central BMO space Morrey-Campanato space Maximal function Sublinear operator Singular integral operator Fractional integral operator

Mathematics Subject Classification (2000)

42B35 46E35 46E30 26A33