Let $s \in (0,1)$ and $p \in [1,\infty)$. If $u \in L^p(\mathbb{R}^N)$, it is possible to conclude that the integral $$\int_{\mathbb{R}^N} \int_{|x - y| \geq 1} \dfrac{|u(x)|^p}{|x - y|^{N+sp}}dxdy$$ is finite?
Remark: I looked for the strategy of using a change of variables in the form $z = x - y$, but the numerator of the quotient would depend on $z + y$, which would make it impossible to have the following expression $$\int_{\mathbb{R}^N} |u(x)|^p \left(\int_{|z| \geq 1} \dfrac{1}{|z|^{N+sp}}dz\right)dx < \infty.$$