Endpoint estimates of discrete fractional operators on discrete weighted Lebesgue spaces

Xiong Hu, Xuebing Hao, Baode Li

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