Audrito, AlessandroRos, Xavier2021-03-162021-03-162020-09-010002-9939https://hdl.handle.net/2445/175170In this note we study the boundary regularity of solutions to nonlocal Dirichlet problems of the form $L u=0$ in $\Omega$, $u=g$ in $\mathbb{R}^{N} \backslash \Omega$, in non-smooth domains $\Omega$. When $g$ is smooth enough, then it is easy to transform this problem into an homogeneous Dirichlet problem with a bounded right-hand side for which the boundary regularity is well understood. Here, we study the case in which $g \in C^{0, \alpha}$, and establish the optimal Hölder regularity of $u$ up to the boundary. Our results extend previous results of Grubb for $C^{\infty}$ domains $\Omega$.16 p.application/pdfengcc-by-nc-nd (c) American Mathematical Society (AMS), 2020http://creativecommons.org/licenses/by-nc-nd/3.0/esEquacions en derivades parcialsOperadors integralsPartial differential equationsIntegral operatorsinfo:eu-repo/semantics/article7085522021-03-16info:eu-repo/semantics/openAccess