$\mathfrak{o}\mathfrak{s}\mathfrak{p}(1\mathrm{\mid }2)$-cohomology on multidifferential operators space

We compute cohomology spaces of the ortosymplectic Lie superalgebra $\mathfrak{o}\mathfrak{s}\mathfrak{p}(1\mathrm{\mid }2)$ on the (1,1)-dimensional real superspace with coefficients in the superspace ${\mathfrak{D}}_{\lambda ,\mu }$ of $n$-ary differential operators acting on weighted densities ($\lambda \in {\mathbb{R}}^n$ and $\mu \in \mathbb{R}$).