We deal with existence, uniqueness, and regularity for solutions of theboundary value problem $$ \begin{cases} {\mathcal L}^s u = \mu &\quad \text{in $\Omega$}, u(x)=0\quad &\text{on} \ \ \mathbb{R}^N\backslash\Omega, \end{cases} $$ where$\Omega$ is a bounded domain of $\mathbb{R}^N$, $\mu$ is a bounded radonmeasure on $\Omega$, and ${\mathcal L}^s$ is a nonlocal operator of fractionalorder $s$ whose kernel $K$ is comparable with the one of the factionallaplacian.
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机译：我们处理边界值问题的解的存在性，唯一性和规则性$$ \ begin {cases} {\ mathcal L} ^ su = \ mu＆\ quad \ text {in $ \ Omega $}，u（x）= 0 \ quad＆\ text {on} \ \ \ mathbb {R} ^ N \ backslash \ Omega，\ end {cases} $$其中$ \ Omega $是$ \ mathbb {R} ^ N $的有界域， $ \ mu $是在$ \ Omega $上的有界radonmeasure，而$ {\ mathcal L} ^ s $是分数阶$ s $的非本地运算符，其内核$ K $与派系拉普拉斯算子可比。
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