Abstract:

 The weighted λ-central Morrey  spaces and weighted CBMO functions are introduced. Then by the properties of Ap weighted functions  and the real-variable methods of harmonic analysis, the weighted boundedness  of commutators of the fractional integral with CBMO function on weighted  λ-central Morrey spaces is obtained. This result enriches the certain theory of commutators.
 

Key words: commutator; fractional integral; λ-central Morrey space; CBMO function; weighted