Hardy-Littlewood Operators on the Space of Functions of Weighted BMO

Abstract:

      In this paper, we proved that if f ∈BMO_w,w ∈A_∞ and inf M(f)(x)<∞, then M(f) is also in BMO_w and there is a constant C independen of f such that ‖Mf‖_w^*≤C‖f‖_w^*.