Boundedness Of Hardy Operators On Subspaces Of Lebesgue And Weighted Lebegue Spaces

We know that the Hardy operator H is bounded on Lpwhen p > 1. In this paper, we proved that,for w ∈ As,when 1 < p < s ≤ ∞, the Hardy operators H is bounded on the BLp,s w(R+), as well as its conjugate operators H?when 1 < p < s < ∞.It contains the boundedness of the Hardy operators H and its conjugate operators H?on subspaces of Lebesgue and weighted Lebesgue spaces.