Endpoint estimates of discrete fractional operators on discrete weighted Lebesgue spaces

Xiong Hu, Xuebing Hao, Baode Li

Let $0<\hat{I}\pm <1$ and $\frac{1}{q}=1-\hat{I}\pm$. We first obtain that the function $\ddot{I}‰:\mathbb{Z}\to (0,\infty )$ belongs to weight class of $\mathcal{A}(1,q)(\mathbb{Z})$ if and only…