2 problems

Let $I_{k,\rho}$ denote the discrete fractional integral operator … Here $k\in\mathbb{N}$ and $0<\rho<1$. Discrete fractional integral boundedness conjecture. For $0<\lambda<1$ and…

Let ${\bf g}_n^{(\alpha,\beta)}$ be the function introduced earlier in the paper, and let $H_\alpha$ be the discrete Laguerre operator. The preceding estimates are stated for the r…