Weighted inequalities for fractional Hardy operators and commutators
Weighted inequalities for fractional Hardy operators and commutators
In this paper, we introduce a fractional maximal operators $N_{\alpha }$ on $(0,\infty )$ associated to the fractional Hardy operator $P_{\alpha }$ and its dual $Q_{\alpha }, 0\leq \alpha <1$ , and obtain some characterizations for the one-weight and two-weight inequalities for $N_{\alpha }$ . We also give some $A_{p}$ …