HARMONIC MEAN ON WEIGHTED HERZ–MORREY SPACES

This paper studies the harmonic means of positive functions on weighted Herz-Morrey spaces.We establish the norm inequalities for the harmonic means of positive functions on weighted Herz-Morrey spaces.This result is an extension of the harmonic means of positive functions on weighted Lebesgue spaces.As a special case of the main result, we have the norm inequalities of the harmonic means of positive functions on weighted Herz spaces.