  In this paper we extend our previous results concerning Jackson integral
solutions of the boundary quantum Knizhnik-Zamolodchikov equations with
diagonal K-operators to higher-spin representations of quantum affine
$\mathfrak{sl}_2$. First we give a systematic exposition of known results on
$R$-operators acting in the tensor product of evaluation representations in
Verma modules over quantum $\mathfrak{sl}_2$. We develop the corresponding
fusion of $K$-operators, which we use to construct diagonal $K$-operators in
these representations. We construct Jackson integral solutions of the
associated boundary quantum Knizhnik-Zamolodchikov equations and explain how in
the finite-dimensional case they can be obtained from our previous results by
the fusion procedure.
