Riesz potential estimates for mixed local-nonlocal problems with measure data

We study gradient regularity for mixed local-nonlocal problems modelled upon $$-{\mathrm{\Delta }}_{p}u+(-{\mathrm{\Delta }}_p{)}^{s}u=\mu \text{for}2-\frac{1}{n}<p<\mathrm{\infty }\text{and}s\in (0,1),$$ where $\mu$ is a bounded Borel measure. We prove pointwise bounds for the gradient $Du$ in terms of the truncated 1-Riesz potential of $\mu$.