The Weighted ${\mathbf{L}}^{\mathbf{p}}$ estimates for the fractional Hardy operator and a class of integral operators on the Heisenberg group

Tianyang He, Zhiwen Liu, Ting Yu

In the setting of a Heisenberg group, we first studied the sharp weak estimate for the $n$-dimensional fractional Hardy operator from $L^p$ to $L^{q,\infty }$. Next, we studied the…