Some integrability estimates for solutions of the fractional p-Laplace equation

For \((\alpha,p)\in(0,1)\times (1,\infty)\), this note focuses on some integrability estimates for solutions of the following Dirichlet problem \[\begin{cases}L_{\alpha,p}u(x)=g(x) \,\, \hbox{as} \,\,x\in \Omega,\\u(x)=0 \,\, hbox{as} \,\,x\in \mathbb{R}^{n}\backslash \Omega, \end{cases}\]where \(L_{\alpha,p}\) is the fractional \(p\)Laplace operator.